https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
"Any result that cannot be derived as a pure function
of finite strings is uncomputable."
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
Merry Christmas !!!
Jesus proved that he had more than a
human nature when he commanded us to
"Love our enemies"
No mere human would have ever thought of that.
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
"Any result that cannot be derived as a pure function
-aof finite strings is uncomputable."
On 12/25/2025 6:48 PM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
"Any result that cannot be derived as a pure function
-aof finite strings is uncomputable."
If the halting problem itself required a halt
decider to report on the behavior that a finite
string INPUT specifies then it would not be
incorrect.
int P()
{
int Halt_Status = H(P);
if (Halt_Status)
HERE: goto HERE;
return Halt_Status;
}
H(P)==0 and H1(P)==1 both report on the behavior
that their finite string input specifies.
On 12/25/2025 6:48 PM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
If the halting problem itself required a halt
decider to report on the behavior that a finite
string INPUT specifies then it would not be
incorrect.
int P()
{
-a int Halt_Status = H(P);
-a if (Halt_Status)
-a-a-a HERE: goto HERE;
-a return Halt_Status;
}
H(P)==0 and H1(P)==1 both report on the behavior
that their finite string input specifies.
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
"Any result that cannot be derived as a pure function
-aof finite strings is uncomputable."
Deciders are not accountable for anything that
is not a pure function of their actual inputs.
It is categorically impossible for there to
be a better measure of the actual behavior
that the actual input actually specifies
to H(P) that H computes as a pure function
of its actual input than P simulated by H.
On 12/25/25 8:45 PM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
Deciders are not accountable for anything that
is not a pure function of their actual inputs.
And the "Halting Function" *IS* a "Pure Function" of its input, so you
are agreeing that your decider are accountable to being asked about the Halting of theinput.
It is categorically impossible for there to
be a better measure of the actual behavior
that the actual input actually specifies
to H(P) that H computes as a pure function
of its actual input than P simulated by H.
WRONG, and that just shows how stupid you are.
That CAN'T be the measure for a Halt Decider.
What is you logic to make this claim?
It seems to just come out of your ignorance.--
Sorry, but you have PROVES that you presumptions are just bad, and that
you are just a pathological liar.
On 12/25/2025 8:02 PM, Richard Damon wrote:
On 12/25/25 8:45 PM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
Deciders are not accountable for anything that
is not a pure function of their actual inputs.
And the "Halting Function" *IS* a "Pure Function" of its input, so you
are agreeing that your decider are accountable to being asked about
the Halting of theinput.
It is categorically impossible for there to
be a better measure of the actual behavior
that the actual input actually specifies
to H(P) that H computes as a pure function
of its actual input than P simulated by H.
WRONG, and that just shows how stupid you are.
What is your actual reasoning to show that I am incorrect?
Calling be stupid seems to indicate that you are baffled.
It certainly does not indicate that I am incorrect.
That CAN'T be the measure for a Halt Decider.
What is you logic to make this claim?
Already fully provided and you ignored it or
it was over-your-head. I don't think it was
over-your-head. You do seem to have all the
basic ideas correctly.
It seems to just come out of your ignorance.
Sorry, but you have PROVES that you presumptions are just bad, and
that you are just a pathological liar.
On 12/25/25 9:20 PM, olcott wrote:
On 12/25/2025 8:02 PM, Richard Damon wrote:
On 12/25/25 8:45 PM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
Deciders are not accountable for anything that
is not a pure function of their actual inputs.
And the "Halting Function" *IS* a "Pure Function" of its input, so
you are agreeing that your decider are accountable to being asked
about the Halting of theinput.
It is categorically impossible for there to
be a better measure of the actual behavior
that the actual input actually specifies
to H(P) that H computes as a pure function
of its actual input than P simulated by H.
WRONG, and that just shows how stupid you are.
What is your actual reasoning to show that I am incorrect?
Calling be stupid seems to indicate that you are baffled.
It certainly does not indicate that I am incorrect.
Because the measure is DEFINED by the problem.
I guess you don't know what the words "the halting problem is the
problem of determining, from a description of an arbitrary computer
program and an input, whether the program will finish running, or
continue to run forever."
Or what it means to "Specify to sequence of steps the program will
perform"?
If "the behavior specified by the input" doesn't match the question
being asked, something YOU did was wrong, as you claim you followed the proof, but P is DEFINED to as H about the behavior of P when run,
So, if that isn't the meaning of the string, you just admitted to lying.
Your problem is it seems that "requirements" are just a foreign concept
to you, which is probably why you think it is ok for you to be watching kiddie porn, as those sorts of rules don't apply to you.
Sorry, they DO, and all you are proving is that you are just a
pathological liar that can't know what is right or wrong.
You are just proving that your words mean nothing, and thus you logic
can;t be based on semantics, as semantcis requires you to have properly defined meaning.
That CAN'T be the measure for a Halt Decider.
What is you logic to make this claim?
Already fully provided and you ignored it or
it was over-your-head. I don't think it was
over-your-head. You do seem to have all the
basic ideas correctly.
It seems to just come out of your ignorance.
Sorry, but you have PROVES that you presumptions are just bad, and
that you are just a pathological liar.
On 12/25/2025 8:44 PM, Richard Damon wrote:
On 12/25/25 9:20 PM, olcott wrote:
On 12/25/2025 8:02 PM, Richard Damon wrote:
On 12/25/25 8:45 PM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
Deciders are not accountable for anything that
is not a pure function of their actual inputs.
And the "Halting Function" *IS* a "Pure Function" of its input, so
you are agreeing that your decider are accountable to being asked
about the Halting of theinput.
It is categorically impossible for there to
be a better measure of the actual behavior
that the actual input actually specifies
to H(P) that H computes as a pure function
of its actual input than P simulated by H.
WRONG, and that just shows how stupid you are.
What is your actual reasoning to show that I am incorrect?
Calling be stupid seems to indicate that you are baffled.
It certainly does not indicate that I am incorrect.
Because the measure is DEFINED by the problem.
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
I guess you don't know what the words "the halting problem is the
problem of determining, from a description of an arbitrary computer
program and an input, whether the program will finish running, or
continue to run forever."
Or what it means to "Specify to sequence of steps the program will
perform"?
If "the behavior specified by the input" doesn't match the question
being asked, something YOU did was wrong, as you claim you followed
the proof, but P is DEFINED to as H about the behavior of P when run,
So, if that isn't the meaning of the string, you just admitted to lying.
Your problem is it seems that "requirements" are just a foreign
concept to you, which is probably why you think it is ok for you to be
watching kiddie porn, as those sorts of rules don't apply to you.
Sorry, they DO, and all you are proving is that you are just a
pathological liar that can't know what is right or wrong.
You are just proving that your words mean nothing, and thus you logic
can;t be based on semantics, as semantcis requires you to have
properly defined meaning.
That CAN'T be the measure for a Halt Decider.
What is you logic to make this claim?
Already fully provided and you ignored it or
it was over-your-head. I don't think it was
over-your-head. You do seem to have all the
basic ideas correctly.
It seems to just come out of your ignorance.
Sorry, but you have PROVES that you presumptions are just bad, and
that you are just a pathological liar.
On 12/25/25 10:12 PM, olcott wrote:
On 12/25/2025 8:44 PM, Richard Damon wrote:
On 12/25/25 9:20 PM, olcott wrote:
On 12/25/2025 8:02 PM, Richard Damon wrote:
On 12/25/25 8:45 PM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
Deciders are not accountable for anything that
is not a pure function of their actual inputs.
And the "Halting Function" *IS* a "Pure Function" of its input, so
you are agreeing that your decider are accountable to being asked
about the Halting of theinput.
It is categorically impossible for there to
be a better measure of the actual behavior
that the actual input actually specifies
to H(P) that H computes as a pure function
of its actual input than P simulated by H.
WRONG, and that just shows how stupid you are.
What is your actual reasoning to show that I am incorrect?
Calling be stupid seems to indicate that you are baffled.
It certainly does not indicate that I am incorrect.
Because the measure is DEFINED by the problem.
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
All you are doing is proving you can't actualy think for yourself anymore.
Your world is based on LIES and FABRICATIONS.
You just don't understand reality.
I guess you don't know what the words "the halting problem is the
problem of determining, from a description of an arbitrary computer
program and an input, whether the program will finish running, or
continue to run forever."
Or what it means to "Specify to sequence of steps the program will
perform"?
If "the behavior specified by the input" doesn't match the question
being asked, something YOU did was wrong, as you claim you followed
the proof, but P is DEFINED to as H about the behavior of P when run,
So, if that isn't the meaning of the string, you just admitted to lying. >>>
Your problem is it seems that "requirements" are just a foreign
concept to you, which is probably why you think it is ok for you to
be watching kiddie porn, as those sorts of rules don't apply to you.
Sorry, they DO, and all you are proving is that you are just a
pathological liar that can't know what is right or wrong.
You are just proving that your words mean nothing, and thus you logic
can;t be based on semantics, as semantcis requires you to have
properly defined meaning.
That CAN'T be the measure for a Halt Decider.
What is you logic to make this claim?
Already fully provided and you ignored it or
it was over-your-head. I don't think it was
over-your-head. You do seem to have all the
basic ideas correctly.
It seems to just come out of your ignorance.
Sorry, but you have PROVES that you presumptions are just bad, and
that you are just a pathological liar.
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
On 12/25/2025 8:44 PM, Richard Damon wrote:
On 12/25/25 9:20 PM, olcott wrote:
On 12/25/2025 8:02 PM, Richard Damon wrote:
On 12/25/25 8:45 PM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a >>>>>>>>
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
Deciders are not accountable for anything that
is not a pure function of their actual inputs.
And the "Halting Function" *IS* a "Pure Function" of its input, so >>>>>> you are agreeing that your decider are accountable to being asked >>>>>> about the Halting of theinput.
It is categorically impossible for there to
be a better measure of the actual behavior
that the actual input actually specifies
to H(P) that H computes as a pure function
of its actual input than P simulated by H.
WRONG, and that just shows how stupid you are.
What is your actual reasoning to show that I am incorrect?
Calling be stupid seems to indicate that you are baffled.
It certainly does not indicate that I am incorrect.
Because the measure is DEFINED by the problem.
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth*
"Any result that cannot be derived as a pure function
-aof finite strings is uncomputable."
When the LLMs
(a) apply correct semantic entailment to
(b) standard definitions
any conclusions so derived are infallible by definition.
To see that this is actually the case in a specific
case only requires verifying that (a) and (b) are met.
People here do not seem to have much of a clue what
semantic entailment** is thus are kind of helpless to
verify that it is correct.
**It has nothing to do with model theory.
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
On 12/25/2025 8:44 PM, Richard Damon wrote:
On 12/25/25 9:20 PM, olcott wrote:
On 12/25/2025 8:02 PM, Richard Damon wrote:
On 12/25/25 8:45 PM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a >>>>>>>>>
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
Deciders are not accountable for anything that
is not a pure function of their actual inputs.
And the "Halting Function" *IS* a "Pure Function" of its input, >>>>>>> so you are agreeing that your decider are accountable to being
asked about the Halting of theinput.
It is categorically impossible for there to
be a better measure of the actual behavior
that the actual input actually specifies
to H(P) that H computes as a pure function
of its actual input than P simulated by H.
WRONG, and that just shows how stupid you are.
What is your actual reasoning to show that I am incorrect?
Calling be stupid seems to indicate that you are baffled.
It certainly does not indicate that I am incorrect.
Because the measure is DEFINED by the problem.
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth*
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings"
And it is uncomputable
Maybe you don't know what those words mean.
When the LLMs
(a) apply correct semantic entailment to
(b) standard definitions
any conclusions so derived are infallible by definition.
How do they do that? I guess you don't know how a LLM works.
--
To see that this is actually the case in a specific
case only requires verifying that (a) and (b) are met.
So try it.
But first you need to know the meaning of the words.
People here do not seem to have much of a clue what
semantic entailment** is thus are kind of helpless to
verify that it is correct.
No, it seems YOU do not, as you don't understand what SEMANTICS are,
since you don't let words actually mean what they mean in the context.
**It has nothing to do with model theory.
How said it did?
Your roblem is you live in a fantasy world where you fight windmills
that don't exist, and ignore the facts that do.
THe fact that you continue to just quote your garbage, and not even TRY
to respond to the errors being pointed out, just shows that you
understand is so poor, you don't even understand the errors being
pointed out.
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth*
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings"
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-)
Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Maybe you don't know what those words mean.
When the LLMs
(a) apply correct semantic entailment to
(b) standard definitions
any conclusions so derived are infallible by definition.
How do they do that? I guess you don't know how a LLM works.
https://iep.utm.edu/val-snd/
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth*
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings"
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-)
Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
All you are doing is proving you don't understand the meaning of
"Correct", which is part of the source of your pathology that makes you
a pathological lair.
Please try to explain, preferably with a concrete example, how H can CORRECTLY simulate a step in (M) that CORRECTLY describes the algorithm
of M and get a result different from the actual step done by M?
Remember that (M) is supposed to be a complete description fully showing
ALL the steps in M with enough detail to recreate it, and does not refer
to anything not in that description, thus for P, it includes an encoding
of the actual algorithm of H, and not just a "reference" to say do what
H does.
Maybe you don't know what those words mean.
When the LLMs
(a) apply correct semantic entailment to
(b) standard definitions
any conclusions so derived are infallible by definition.
How do they do that? I guess you don't know how a LLM works.
https://iep.utm.edu/val-snd/
And since LLMs don't follow those rules of logic, or even work just from correct statements, their "reasoning" is neither "valid" or "sound".--
If you actually look at what LLMs are, they are effectively just large Markof chains built to generate reasonable sounding continuations from
your prompt, and their data source was everything said in the training corpus, both correct and erroneus statements, trained by the criteria of "does it sound reasonable", with explicit instructions NOT to judge on factual correctness of non-obvious matters.
And, since you have just followed their lead, neither does your logic.
In fact, since you never learned the actual meaning of the words you try
to use, you never had that correct basis to work from, so your own logic
has never been valid or sound when talking of the field.
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth*
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings"
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-)
Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
I know that you are not stupid. I know that you
can pay attention to all of those words.
When I state a true fact and you understand that
it is a true fact yet deny it anyway what could
explain this denial?
All you are doing is proving you don't understand the meaning of
"Correct", which is part of the source of your pathology that makes
you a pathological lair.
Please try to explain, preferably with a concrete example, how H can
CORRECTLY simulate a step in (M) that CORRECTLY describes the
algorithm of M and get a result different from the actual step done by M?
Remember that (M) is supposed to be a complete description fully
showing ALL the steps in M with enough detail to recreate it, and does
not refer to anything not in that description, thus for P, it includes
an encoding of the actual algorithm of H, and not just a "reference"
to say do what H does.
Maybe you don't know what those words mean.
When the LLMs
(a) apply correct semantic entailment to
(b) standard definitions
any conclusions so derived are infallible by definition.
How do they do that? I guess you don't know how a LLM works.
https://iep.utm.edu/val-snd/
And since LLMs don't follow those rules of logic, or even work just
from correct statements, their "reasoning" is neither "valid" or "sound".
If you actually look at what LLMs are, they are effectively just large
Markof chains built to generate reasonable sounding continuations from
your prompt, and their data source was everything said in the training
corpus, both correct and erroneus statements, trained by the criteria
of "does it sound reasonable", with explicit instructions NOT to judge
on factual correctness of non-obvious matters.
And, since you have just followed their lead, neither does your logic.
In fact, since you never learned the actual meaning of the words you
try to use, you never had that correct basis to work from, so your own
logic has never been valid or sound when talking of the field.
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth*
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings"
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-)
Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does?
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth*
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings"
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-)
Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does?
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not
cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-).
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth*
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings"
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-)
Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does?
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not
cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-).
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different result from
what the program does?
Yes, the finite string (M) *IS* a valid proxy for M, and UTM((M)) shows
what that string says, EVEN IF IT INCLUDES IT CALLING a copy of H.
Why isn't it?
How is H's DIFFERENT simulation "Correct"?
Are you saying your system can't express this construction to H?
If so, that just means your H fails to be able to be asked the question,
and proves itself in error.
All you are doing is admitting you can't do what you claim.
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth*
"Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings"
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-)
Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does?
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not
cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-).
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different result
from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
Yes, the finite string (M) *IS* a valid proxy for M, and UTM((M))
shows what that string says, EVEN IF IT INCLUDES IT CALLING a copy of H.
Why isn't it?
How is H's DIFFERENT simulation "Correct"?
Are you saying your system can't express this construction to H?
If so, that just means your H fails to be able to be asked the
question, and proves itself in error.
All you are doing is admitting you can't do what you claim.
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth* >>>>>>>>>> "Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings"
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-)
Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does?
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not
cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-).
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different result
from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you can copy it elsewhere?
WHy isn't the string P you gave as an input to H not a valid proxy for
the input to be given to UTM?
It seems like you just want to prohibit the meaning it must have to make your point, which just shows you don't know what you are talking about.
If the string P you gave to H wasn't a valid proxy for the machine P,
then you have just been lying about following the proof for all these
years.
Did you not understand that you had to be truthful to H (and thus to
UTM) about the program P?
Of course, that IS part of your problem, as you try to pass off an
invalid string, as you want to omit the algoritm of H from it, which
just shows that you never knew what you were talking about.
Yes, the finite string (M) *IS* a valid proxy for M, and UTM((M))
shows what that string says, EVEN IF IT INCLUDES IT CALLING a copy of H. >>>
Why isn't it?
How is H's DIFFERENT simulation "Correct"?
Are you saying your system can't express this construction to H?
If so, that just means your H fails to be able to be asked the
question, and proves itself in error.
All you are doing is admitting you can't do what you claim.
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth* >>>>>>>>>>> "Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings"
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-)
Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does?
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not
cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-).
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different result
from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you can copy it
elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence
of steps that a finite string input specifies to a
specific instance of a decider.
WHy isn't the string P you gave as an input to H not a valid proxy for
the input to be given to UTM?
It seems like you just want to prohibit the meaning it must have to
make your point, which just shows you don't know what you are talking
about.
If the string P you gave to H wasn't a valid proxy for the machine P,
then you have just been lying about following the proof for all these
years.
Did you not understand that you had to be truthful to H (and thus to
UTM) about the program P?
Of course, that IS part of your problem, as you try to pass off an
invalid string, as you want to omit the algoritm of H from it, which
just shows that you never knew what you were talking about.
Yes, the finite string (M) *IS* a valid proxy for M, and UTM((M))
shows what that string says, EVEN IF IT INCLUDES IT CALLING a copy
of H.
Why isn't it?
How is H's DIFFERENT simulation "Correct"?
Are you saying your system can't express this construction to H?
If so, that just means your H fails to be able to be asked the
question, and proves itself in error.
All you are doing is admitting you can't do what you claim.
On 12/26/25 12:18 PM, olcott wrote:
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced
a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth* >>>>>>>>>>>> "Any result that cannot be derived as a pure function
-a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings"
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-) >>>>>>>>>> Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does?
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not
cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-).
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different result
from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you can copy
it elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence
of steps that a finite string input specifies to a
specific instance of a decider.
Really?
And why is that?
Since the DEFINITION of semantics for strings representing programs is
the operation of that program.
Note, the string represents what it represents to EVERYTHING.
If you decider doesn't understand that representation, then you built
the wrong string.
It seems you are just making up craps to try to hide your error.
You don't understand that you already said by claiming that P was built
by the requirements of the proof, that you stipulated this string DID
MEAN to your decider the algorithm / sequence of steps of the program to
it.
I guess you are just admitting you have been lying all the time, but
were to stupid to understand that.
WHy isn't the string P you gave as an input to H not a valid proxy
for the input to be given to UTM?
It seems like you just want to prohibit the meaning it must have to
make your point, which just shows you don't know what you are talking
about.
If the string P you gave to H wasn't a valid proxy for the machine P,
then you have just been lying about following the proof for all these
years.
Did you not understand that you had to be truthful to H (and thus to
UTM) about the program P?
Of course, that IS part of your problem, as you try to pass off an
invalid string, as you want to omit the algoritm of H from it, which
just shows that you never knew what you were talking about.
Yes, the finite string (M) *IS* a valid proxy for M, and UTM((M))
shows what that string says, EVEN IF IT INCLUDES IT CALLING a copy
of H.
Why isn't it?
How is H's DIFFERENT simulation "Correct"?
Are you saying your system can't express this construction to H?
If so, that just means your H fails to be able to be asked the
question, and proves itself in error.
All you are doing is admitting you can't do what you claim.
On 12/26/2025 11:26 AM, Richard Damon wrote:
On 12/26/25 12:18 PM, olcott wrote:
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced >>>>>>>>>>>>>>> a total of 50 times, you just don't understand.
LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth* >>>>>>>>>>>>> "Any result that cannot be derived as a pure function >>>>>>>>>>>>> -a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings"
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-) >>>>>>>>>>> Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does?
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not
cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-).
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different result >>>>>> from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you can copy
it elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence
of steps that a finite string input specifies to a
specific instance of a decider.
Really?
And why is that?
Since the DEFINITION of semantics for strings representing programs is
the operation of that program.
Note, the string represents what it represents to EVERYTHING.
That definition has always been less than 100%
precisely accurate even when one takes the vague
term: "represents" with a more precise term of
the art-meaning.
I simply bypass all of that by defining the new
idea of the sequence of steps that a finite string
input instance specifies to its decider instance.
That is a level of precision that no one bothered
to think about for 90 years. That this level of
detail is empirically proven to make an actual
difference conclusively validates it.
If you decider doesn't understand that representation, then you built
the wrong string.
It seems you are just making up craps to try to hide your error.
You don't understand that you already said by claiming that P was
built by the requirements of the proof, that you stipulated this
string DID MEAN to your decider the algorithm / sequence of steps of
the program to it.
I guess you are just admitting you have been lying all the time, but
were to stupid to understand that.
WHy isn't the string P you gave as an input to H not a valid proxy
for the input to be given to UTM?
It seems like you just want to prohibit the meaning it must have to
make your point, which just shows you don't know what you are
talking about.
If the string P you gave to H wasn't a valid proxy for the machine
P, then you have just been lying about following the proof for all
these years.
Did you not understand that you had to be truthful to H (and thus to
UTM) about the program P?
Of course, that IS part of your problem, as you try to pass off an
invalid string, as you want to omit the algoritm of H from it, which
just shows that you never knew what you were talking about.
Yes, the finite string (M) *IS* a valid proxy for M, and UTM((M)) >>>>>> shows what that string says, EVEN IF IT INCLUDES IT CALLING a copy >>>>>> of H.
Why isn't it?
How is H's DIFFERENT simulation "Correct"?
Are you saying your system can't express this construction to H?
If so, that just means your H fails to be able to be asked the
question, and proves itself in error.
All you are doing is admitting you can't do what you claim.
On 12/26/25 1:07 PM, olcott wrote:
On 12/26/2025 11:26 AM, Richard Damon wrote:
On 12/26/25 12:18 PM, olcott wrote:
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced >>>>>>>>>>>>>>>> a total of 50 times, you just don't understand. >>>>>>>>>>>>>>>LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth* >>>>>>>>>>>>>> "Any result that cannot be derived as a pure function >>>>>>>>>>>>>> -a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings" >>>>>>>>>>>>>
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-) >>>>>>>>>>>> Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does? >>>>>>>>>
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not
cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-).
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different
result from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you can copy >>>>> it elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence
of steps that a finite string input specifies to a
specific instance of a decider.
Really?
And why is that?
Since the DEFINITION of semantics for strings representing programs
is the operation of that program.
Note, the string represents what it represents to EVERYTHING.
That definition has always been less than 100%
precisely accurate even when one takes the vague
term: "represents" with a more precise term of
the art-meaning.
Nope, nothing can be more accurate than the actual definition,
You got a source for your claim, or is this just another lie out of your insanity.
I simply bypass all of that by defining the new
idea of the sequence of steps that a finite string
input instance specifies to its decider instance.
But you don't GET to define the new idea, not without admitting you are leaving Computation Theory.
All you are doing is admitting that you logic is built on lying,
That is a level of precision that no one bothered
to think about for 90 years. That this level of
detail is empirically proven to make an actual
difference conclusively validates it.
No, your level of stupidity, thinking you get to redefine thing, is show
to be great.
As I said, All you have done is proved that you don't know what you are talking about, but are just making up lies.
If you can't prove your claim in the system, from the defined
definition, your claims are just admitted lies.
If you decider doesn't understand that representation, then you built
the wrong string.
It seems you are just making up craps to try to hide your error.
You don't understand that you already said by claiming that P was
built by the requirements of the proof, that you stipulated this
string DID MEAN to your decider the algorithm / sequence of steps of
the program to it.
I guess you are just admitting you have been lying all the time, but
were to stupid to understand that.
WHy isn't the string P you gave as an input to H not a valid proxy
for the input to be given to UTM?
It seems like you just want to prohibit the meaning it must have to >>>>> make your point, which just shows you don't know what you are
talking about.
If the string P you gave to H wasn't a valid proxy for the machine
P, then you have just been lying about following the proof for all
these years.
Did you not understand that you had to be truthful to H (and thus
to UTM) about the program P?
Of course, that IS part of your problem, as you try to pass off an
invalid string, as you want to omit the algoritm of H from it,
which just shows that you never knew what you were talking about.
Yes, the finite string (M) *IS* a valid proxy for M, and UTM((M)) >>>>>>> shows what that string says, EVEN IF IT INCLUDES IT CALLING a
copy of H.
Why isn't it?
How is H's DIFFERENT simulation "Correct"?
Are you saying your system can't express this construction to H? >>>>>>>
If so, that just means your H fails to be able to be asked the
question, and proves itself in error.
All you are doing is admitting you can't do what you claim.
On 12/26/2025 4:29 PM, Richard Damon wrote:
On 12/26/25 1:07 PM, olcott wrote:
On 12/26/2025 11:26 AM, Richard Damon wrote:
On 12/26/25 12:18 PM, olcott wrote:
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced >>>>>>>>>>>>>>>>> a total of 50 times, you just don't understand. >>>>>>>>>>>>>>>>LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth* >>>>>>>>>>>>>>> "Any result that cannot be derived as a pure function >>>>>>>>>>>>>>> -a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings" >>>>>>>>>>>>>>
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-) >>>>>>>>>>>>> Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does? >>>>>>>>>>
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not
cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-).
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different
result from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you can
copy it elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence
of steps that a finite string input specifies to a
specific instance of a decider.
Really?
And why is that?
Since the DEFINITION of semantics for strings representing programs
is the operation of that program.
Note, the string represents what it represents to EVERYTHING.
That definition has always been less than 100%
precisely accurate even when one takes the vague
term: "represents" with a more precise term of
the art-meaning.
Nope, nothing can be more accurate than the actual definition,
You got a source for your claim, or is this just another lie out of
your insanity.
I simply bypass all of that by defining the new
idea of the sequence of steps that a finite string
input instance specifies to its decider instance.
But you don't GET to define the new idea, not without admitting you
are leaving Computation Theory.
All you are doing is admitting that you logic is built on lying,
That is a level of precision that no one bothered
to think about for 90 years. That this level of
detail is empirically proven to make an actual
difference conclusively validates it.
No, your level of stupidity, thinking you get to redefine thing, is
show to be great.
As I said, All you have done is proved that you don't know what you
are talking about, but are just making up lies.
If you can't prove your claim in the system, from the defined
definition, your claims are just admitted lies.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
All that I am doing is exploring the exact details
of that. That no one else bothered to explore these
exact details is no mistake of mine.
On 12/26/25 8:17 PM, olcott wrote:
On 12/26/2025 4:29 PM, Richard Damon wrote:So, your H / HH / HHH can be halt decider, at least if you define them
On 12/26/25 1:07 PM, olcott wrote:
On 12/26/2025 11:26 AM, Richard Damon wrote:
On 12/26/25 12:18 PM, olcott wrote:
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote:
On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced >>>>>>>>>>>>>>>>>> a total of 50 times, you just don't understand. >>>>>>>>>>>>>>>>>LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth* >>>>>>>>>>>>>>>> "Any result that cannot be derived as a pure function >>>>>>>>>>>>>>>> -a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings" >>>>>>>>>>>>>>>
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-) >>>>>>>>>>>>>> Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does? >>>>>>>>>>>
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not
cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-).
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different >>>>>>>>> result from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you can
copy it elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence
of steps that a finite string input specifies to a
specific instance of a decider.
Really?
And why is that?
Since the DEFINITION of semantics for strings representing programs >>>>> is the operation of that program.
Note, the string represents what it represents to EVERYTHING.
That definition has always been less than 100%
precisely accurate even when one takes the vague
term: "represents" with a more precise term of
the art-meaning.
Nope, nothing can be more accurate than the actual definition,
You got a source for your claim, or is this just another lie out of
your insanity.
I simply bypass all of that by defining the new
idea of the sequence of steps that a finite string
input instance specifies to its decider instance.
But you don't GET to define the new idea, not without admitting you
are leaving Computation Theory.
All you are doing is admitting that you logic is built on lying,
That is a level of precision that no one bothered
to think about for 90 years. That this level of
detail is empirically proven to make an actual
difference conclusively validates it.
No, your level of stupidity, thinking you get to redefine thing, is
show to be great.
As I said, All you have done is proved that you don't know what you
are talking about, but are just making up lies.
If you can't prove your claim in the system, from the defined
definition, your claims are just admitted lies.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
All that I am doing is exploring the exact details
of that. That no one else bothered to explore these
exact details is no mistake of mine.
in a way that meets the requirements, which your code doesn't, since
their transform depends on hidden state.
The problem is you forget to define what it means to be a Halt Decider,--
or any form of XXXX Decider. Your problem is "Halting" is defined as a property of the actual machine being talked about, which can be
expressed in terms of a UTM processing the string representation of it.
You then get this crasy idea (which is just a lie) that you can just
ignore the behavior of the CORRECT simulation of that input, as shown by what the UTM does, and try to define it's incorrect simulation (since it just stops short based on its own error) as being correct.
And then, you show your problem by just refusing to even try to answer
with a justification on why your idea is correct.
How can your H have "Correctly Simuated" and input that "Correctly Spedifies" the behavior of the machine P, and get the different result
of that machine or the machine defined to do the correct simulation,
that is, the UTM.
Remember, if UTM([x]) doesn't match the behavior of machine X, then it
just isn't a UTM.
If your problem is that you encoding method can't produce a string that allows for a UTM to exist, then you encoding method is just
insufficient, and you doomed yourself from the start, as the criteria
for semantic properties ALWAYS goes back to the original machine.
All you are doing is proving you don't understand how "requirements"
work, as you just try to sweep them under the carpet with your lies.
Sorry, all you are doing is proving your stupidity.
On 12/26/2025 7:41 PM, Richard Damon wrote:
On 12/26/25 8:17 PM, olcott wrote:
On 12/26/2025 4:29 PM, Richard Damon wrote:So, your H / HH / HHH can be halt decider, at least if you define them
On 12/26/25 1:07 PM, olcott wrote:
On 12/26/2025 11:26 AM, Richard Damon wrote:
On 12/26/25 12:18 PM, olcott wrote:
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced >>>>>>>>>>>>>>>>>>> a total of 50 times, you just don't understand. >>>>>>>>>>>>>>>>>>LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the truth* >>>>>>>>>>>>>>>>> "Any result that cannot be derived as a pure function >>>>>>>>>>>>>>>>> -a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings" >>>>>>>>>>>>>>>>
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-) >>>>>>>>>>>>>>> Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-)
Only if H doesn't CORRECTLY simulate (M).
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does? >>>>>>>>>>>>
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not
cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-).
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different >>>>>>>>>> result from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you can >>>>>>>> copy it elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence
of steps that a finite string input specifies to a
specific instance of a decider.
Really?
And why is that?
Since the DEFINITION of semantics for strings representing
programs is the operation of that program.
Note, the string represents what it represents to EVERYTHING.
That definition has always been less than 100%
precisely accurate even when one takes the vague
term: "represents" with a more precise term of
the art-meaning.
Nope, nothing can be more accurate than the actual definition,
You got a source for your claim, or is this just another lie out of
your insanity.
I simply bypass all of that by defining the new
idea of the sequence of steps that a finite string
input instance specifies to its decider instance.
But you don't GET to define the new idea, not without admitting you
are leaving Computation Theory.
All you are doing is admitting that you logic is built on lying,
That is a level of precision that no one bothered
to think about for 90 years. That this level of
detail is empirically proven to make an actual
difference conclusively validates it.
No, your level of stupidity, thinking you get to redefine thing, is
show to be great.
As I said, All you have done is proved that you don't know what you
are talking about, but are just making up lies.
If you can't prove your claim in the system, from the defined
definition, your claims are just admitted lies.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
All that I am doing is exploring the exact details
of that. That no one else bothered to explore these
exact details is no mistake of mine.
in a way that meets the requirements, which your code doesn't, since
their transform depends on hidden state.
Implementation details are irrelevant to theoretical limits.
H does apply finite string transformation rules to its
input P deriving {Reject}.
Four LLM systems have now fully agreed with all of
my reasoning about the general subject of undecidability.
ChatGPT and Claude AI have agreed in fresh brand new
conversations a dozen times each.
It initially took them fifty pages of dialogue to get it.
I am now down to 15 pages on each system.
It is not that these LLM systems are terribly faulty.
It is that conventional wisdom about undecidability
across computer science , math and logic is a foundational
error.
The problem is you forget to define what it means to be a Halt
Decider, or any form of XXXX Decider. Your problem is "Halting" is
defined as a property of the actual machine being talked about, which
can be expressed in terms of a UTM processing the string
representation of it.
You then get this crasy idea (which is just a lie) that you can just
ignore the behavior of the CORRECT simulation of that input, as shown
by what the UTM does, and try to define it's incorrect simulation
(since it just stops short based on its own error) as being correct.
And then, you show your problem by just refusing to even try to answer
with a justification on why your idea is correct.
How can your H have "Correctly Simuated" and input that "Correctly
Spedifies" the behavior of the machine P, and get the different result
of that machine or the machine defined to do the correct simulation,
that is, the UTM.
Remember, if UTM([x]) doesn't match the behavior of machine X, then it
just isn't a UTM.
If your problem is that you encoding method can't produce a string
that allows for a UTM to exist, then you encoding method is just
insufficient, and you doomed yourself from the start, as the criteria
for semantic properties ALWAYS goes back to the original machine.
All you are doing is proving you don't understand how "requirements"
work, as you just try to sweep them under the carpet with your lies.
Sorry, all you are doing is proving your stupidity.
On 12/26/25 9:38 PM, olcott wrote:
On 12/26/2025 7:41 PM, Richard Damon wrote:
On 12/26/25 8:17 PM, olcott wrote:
On 12/26/2025 4:29 PM, Richard Damon wrote:So, your H / HH / HHH can be halt decider, at least if you define
On 12/26/25 1:07 PM, olcott wrote:
On 12/26/2025 11:26 AM, Richard Damon wrote:
On 12/26/25 12:18 PM, olcott wrote:
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote:Only if H doesn't CORRECTLY simulate (M).
On 12/25/25 10:37 PM, olcott wrote:
On 12/25/2025 9:17 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>> On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced >>>>>>>>>>>>>>>>>>>> a total of 50 times, you just don't understand. >>>>>>>>>>>>>>>>>>>LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the >>>>>>>>>>>>>>>>>> truth*
"Any result that cannot be derived as a pure function >>>>>>>>>>>>>>>>>> -a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings" >>>>>>>>>>>>>>>>>
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-) >>>>>>>>>>>>>>>> Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-) >>>>>>>>>>>>>>>
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does? >>>>>>>>>>>>>
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not
cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-). >>>>>>>>>>>>
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different >>>>>>>>>>> result from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you can >>>>>>>>> copy it elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence
of steps that a finite string input specifies to a
specific instance of a decider.
Really?
And why is that?
Since the DEFINITION of semantics for strings representing
programs is the operation of that program.
Note, the string represents what it represents to EVERYTHING.
That definition has always been less than 100%
precisely accurate even when one takes the vague
term: "represents" with a more precise term of
the art-meaning.
Nope, nothing can be more accurate than the actual definition,
You got a source for your claim, or is this just another lie out of >>>>> your insanity.
I simply bypass all of that by defining the new
idea of the sequence of steps that a finite string
input instance specifies to its decider instance.
But you don't GET to define the new idea, not without admitting you >>>>> are leaving Computation Theory.
All you are doing is admitting that you logic is built on lying,
That is a level of precision that no one bothered
to think about for 90 years. That this level of
detail is empirically proven to make an actual
difference conclusively validates it.
No, your level of stupidity, thinking you get to redefine thing, is >>>>> show to be great.
As I said, All you have done is proved that you don't know what you >>>>> are talking about, but are just making up lies.
If you can't prove your claim in the system, from the defined
definition, your claims are just admitted lies.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
All that I am doing is exploring the exact details
of that. That no one else bothered to explore these
exact details is no mistake of mine.
them in a way that meets the requirements, which your code doesn't,
since their transform depends on hidden state.
Implementation details are irrelevant to theoretical limits.
Not if they mean they don't meet the requirements.
H does apply finite string transformation rules to its
input P deriving {Reject}.
Which makes it a decider, not a halting decider.
Your problem is you forget about that part of the meaning of the word, because you just don't think about requirements, as being "correct"
isn't a thing to you, just like Truth, or Proof don't mean anything to
you, as meaning doesn't actually have meaning to you.
Four LLM systems have now fully agreed with all of
my reasoning about the general subject of undecidability.
ChatGPT and Claude AI have agreed in fresh brand new
conversations a dozen times each.
Which just shows you are too stupid to know they lie.
It initially took them fifty pages of dialogue to get it.
I am now down to 15 pages on each system.
It is not that these LLM systems are terribly faulty.
It is that conventional wisdom about undecidability
across computer science , math and logic is a foundational
error.
Shows how hard you had to work for them to remember your lies.
All you are doing is proving you are just a liar.
The problem is you forget to define what it means to be a Halt
Decider, or any form of XXXX Decider. Your problem is "Halting" is
defined as a property of the actual machine being talked about, which
can be expressed in terms of a UTM processing the string
representation of it.
You then get this crasy idea (which is just a lie) that you can just
ignore the behavior of the CORRECT simulation of that input, as shown
by what the UTM does, and try to define it's incorrect simulation
(since it just stops short based on its own error) as being correct.
And then, you show your problem by just refusing to even try to
answer with a justification on why your idea is correct.
How can your H have "Correctly Simuated" and input that "Correctly
Spedifies" the behavior of the machine P, and get the different
result of that machine or the machine defined to do the correct
simulation, that is, the UTM.
Remember, if UTM([x]) doesn't match the behavior of machine X, then
it just isn't a UTM.
If your problem is that you encoding method can't produce a string
that allows for a UTM to exist, then you encoding method is just
insufficient, and you doomed yourself from the start, as the criteria
for semantic properties ALWAYS goes back to the original machine.
All you are doing is proving you don't understand how "requirements"
work, as you just try to sweep them under the carpet with your lies.
Sorry, all you are doing is proving your stupidity.
On 12/26/2025 9:04 PM, Richard Damon wrote:
On 12/26/25 9:38 PM, olcott wrote:
On 12/26/2025 7:41 PM, Richard Damon wrote:
On 12/26/25 8:17 PM, olcott wrote:
On 12/26/2025 4:29 PM, Richard Damon wrote:So, your H / HH / HHH can be halt decider, at least if you define
On 12/26/25 1:07 PM, olcott wrote:
On 12/26/2025 11:26 AM, Richard Damon wrote:
On 12/26/25 12:18 PM, olcott wrote:
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 12/25/25 10:37 PM, olcott wrote:Only if H doesn't CORRECTLY simulate (M).
On 12/25/2025 9:17 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 12/25/25 10:12 PM, olcott wrote:
Three different LLMs have been totally convinced >>>>>>>>>>>>>>>>>>>>> a total of 50 times, you just don't understand. >>>>>>>>>>>>>>>>>>>>LLM LIE, so are not reliable sources.
*Anyone that disagrees with this is not telling the >>>>>>>>>>>>>>>>>>> truth*
"Any result that cannot be derived as a pure function >>>>>>>>>>>>>>>>>>> -a-aof finite strings is uncomputable."
But Halting *IS* a "pure function of finite strings" >>>>>>>>>>>>>>>>>>
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-) >>>>>>>>>>>>>>>>> Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-) >>>>>>>>>>>>>>>>
Correctly simulated is defined by the semantics
of C applied to the finite string input for
the N steps until H sees the repeating pattern.
So, how does that differ from what the program actually does? >>>>>>>>>>>>>>
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not >>>>>>>>>>>>> cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-). >>>>>>>>>>>>>
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different >>>>>>>>>>>> result from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you can >>>>>>>>>> copy it elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence
of steps that a finite string input specifies to a
specific instance of a decider.
Really?
And why is that?
Since the DEFINITION of semantics for strings representing
programs is the operation of that program.
Note, the string represents what it represents to EVERYTHING.
That definition has always been less than 100%
precisely accurate even when one takes the vague
term: "represents" with a more precise term of
the art-meaning.
Nope, nothing can be more accurate than the actual definition,
You got a source for your claim, or is this just another lie out
of your insanity.
I simply bypass all of that by defining the new
idea of the sequence of steps that a finite string
input instance specifies to its decider instance.
But you don't GET to define the new idea, not without admitting
you are leaving Computation Theory.
All you are doing is admitting that you logic is built on lying,
That is a level of precision that no one bothered
to think about for 90 years. That this level of
detail is empirically proven to make an actual
difference conclusively validates it.
No, your level of stupidity, thinking you get to redefine thing,
is show to be great.
As I said, All you have done is proved that you don't know what
you are talking about, but are just making up lies.
If you can't prove your claim in the system, from the defined
definition, your claims are just admitted lies.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
All that I am doing is exploring the exact details
of that. That no one else bothered to explore these
exact details is no mistake of mine.
them in a way that meets the requirements, which your code doesn't,
since their transform depends on hidden state.
Implementation details are irrelevant to theoretical limits.
Not if they mean they don't meet the requirements.
H does apply finite string transformation rules to its
input P deriving {Reject}.
Which makes it a decider, not a halting decider.
H(P) does correctly report on the actual behavior
that its actual input actually specifies.
This makes H(P)==0 correct and everything that
disagrees incorrect.
Your problem is you forget about that part of the meaning of the word,
because you just don't think about requirements, as being "correct"
isn't a thing to you, just like Truth, or Proof don't mean anything to
you, as meaning doesn't actually have meaning to you.
Four LLM systems have now fully agreed with all of
my reasoning about the general subject of undecidability.
ChatGPT and Claude AI have agreed in fresh brand new
conversations a dozen times each.
Which just shows you are too stupid to know they lie.
It initially took them fifty pages of dialogue to get it.
I am now down to 15 pages on each system.
It is not that these LLM systems are terribly faulty.
It is that conventional wisdom about undecidability
across computer science , math and logic is a foundational
error.
Shows how hard you had to work for them to remember your lies.
All you are doing is proving you are just a liar.
The problem is you forget to define what it means to be a Halt
Decider, or any form of XXXX Decider. Your problem is "Halting" is
defined as a property of the actual machine being talked about,
which can be expressed in terms of a UTM processing the string
representation of it.
You then get this crasy idea (which is just a lie) that you can just
ignore the behavior of the CORRECT simulation of that input, as
shown by what the UTM does, and try to define it's incorrect
simulation (since it just stops short based on its own error) as
being correct.
And then, you show your problem by just refusing to even try to
answer with a justification on why your idea is correct.
How can your H have "Correctly Simuated" and input that "Correctly
Spedifies" the behavior of the machine P, and get the different
result of that machine or the machine defined to do the correct
simulation, that is, the UTM.
Remember, if UTM([x]) doesn't match the behavior of machine X, then
it just isn't a UTM.
If your problem is that you encoding method can't produce a string
that allows for a UTM to exist, then you encoding method is just
insufficient, and you doomed yourself from the start, as the
criteria for semantic properties ALWAYS goes back to the original
machine.
All you are doing is proving you don't understand how "requirements"
work, as you just try to sweep them under the carpet with your lies.
Sorry, all you are doing is proving your stupidity.
On 12/26/25 10:22 PM, olcott wrote:
On 12/26/2025 9:04 PM, Richard Damon wrote:
On 12/26/25 9:38 PM, olcott wrote:
On 12/26/2025 7:41 PM, Richard Damon wrote:
On 12/26/25 8:17 PM, olcott wrote:
On 12/26/2025 4:29 PM, Richard Damon wrote:So, your H / HH / HHH can be halt decider, at least if you define
On 12/26/25 1:07 PM, olcott wrote:
On 12/26/2025 11:26 AM, Richard Damon wrote:
On 12/26/25 12:18 PM, olcott wrote:
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote:So, how does that differ from what the program actually >>>>>>>>>>>>>>> does?
On 12/25/25 11:51 PM, olcott wrote:
On 12/25/2025 10:32 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>> On 12/25/25 10:37 PM, olcott wrote:Only if H doesn't CORRECTLY simulate (M).
On 12/25/2025 9:17 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>> On 12/25/25 10:12 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>> Three different LLMs have been totally convinced >>>>>>>>>>>>>>>>>>>>>> a total of 50 times, you just don't understand. >>>>>>>>>>>>>>>>>>>>>
LLM LIE, so are not reliable sources. >>>>>>>>>>>>>>>>>>>>>
*Anyone that disagrees with this is not telling the >>>>>>>>>>>>>>>>>>>> truth*
"Any result that cannot be derived as a pure function >>>>>>>>>>>>>>>>>>>> -a-aof finite strings is uncomputable." >>>>>>>>>>>>>>>>>>>>
But Halting *IS* a "pure function of finite strings" >>>>>>>>>>>>>>>>>>>
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-) >>>>>>>>>>>>>>>>>> Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-) >>>>>>>>>>>>>>>>>
Correctly simulated is defined by the semantics >>>>>>>>>>>>>>>> of C applied to the finite string input for
the N steps until H sees the repeating pattern. >>>>>>>>>>>>>>>
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not >>>>>>>>>>>>>> cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-). >>>>>>>>>>>>>>
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a different >>>>>>>>>>>>> result from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you >>>>>>>>>>> can copy it elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence
of steps that a finite string input specifies to a
specific instance of a decider.
Really?
And why is that?
Since the DEFINITION of semantics for strings representing
programs is the operation of that program.
Note, the string represents what it represents to EVERYTHING. >>>>>>>>>
That definition has always been less than 100%
precisely accurate even when one takes the vague
term: "represents" with a more precise term of
the art-meaning.
Nope, nothing can be more accurate than the actual definition,
You got a source for your claim, or is this just another lie out >>>>>>> of your insanity.
I simply bypass all of that by defining the new
idea of the sequence of steps that a finite string
input instance specifies to its decider instance.
But you don't GET to define the new idea, not without admitting >>>>>>> you are leaving Computation Theory.
All you are doing is admitting that you logic is built on lying, >>>>>>>
That is a level of precision that no one bothered
to think about for 90 years. That this level of
detail is empirically proven to make an actual
difference conclusively validates it.
No, your level of stupidity, thinking you get to redefine thing, >>>>>>> is show to be great.
As I said, All you have done is proved that you don't know what >>>>>>> you are talking about, but are just making up lies.
If you can't prove your claim in the system, from the defined
definition, your claims are just admitted lies.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
All that I am doing is exploring the exact details
of that. That no one else bothered to explore these
exact details is no mistake of mine.
them in a way that meets the requirements, which your code doesn't, >>>>> since their transform depends on hidden state.
Implementation details are irrelevant to theoretical limits.
Not if they mean they don't meet the requirements.
H does apply finite string transformation rules to its
input P deriving {Reject}.
Which makes it a decider, not a halting decider.
H(P) does correctly report on the actual behavior
that its actual input actually specifies.
IF it does, then you lied about building your P by the proof.
As P is supposed to call H with the desciption of itself when run as an independent program.
On 12/26/2025 9:37 PM, Richard Damon wrote:
On 12/26/25 10:22 PM, olcott wrote:
On 12/26/2025 9:04 PM, Richard Damon wrote:
On 12/26/25 9:38 PM, olcott wrote:
On 12/26/2025 7:41 PM, Richard Damon wrote:
On 12/26/25 8:17 PM, olcott wrote:
On 12/26/2025 4:29 PM, Richard Damon wrote:So, your H / HH / HHH can be halt decider, at least if you define >>>>>> them in a way that meets the requirements, which your code
On 12/26/25 1:07 PM, olcott wrote:
On 12/26/2025 11:26 AM, Richard Damon wrote:
On 12/26/25 12:18 PM, olcott wrote:
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 12/25/25 11:51 PM, olcott wrote:So, how does that differ from what the program actually >>>>>>>>>>>>>>>> does?
On 12/25/2025 10:32 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 12/25/25 10:37 PM, olcott wrote:Only if H doesn't CORRECTLY simulate (M).
On 12/25/2025 9:17 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 12/25/25 10:12 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> Three different LLMs have been totally convinced >>>>>>>>>>>>>>>>>>>>>>> a total of 50 times, you just don't understand. >>>>>>>>>>>>>>>>>>>>>>
LLM LIE, so are not reliable sources. >>>>>>>>>>>>>>>>>>>>>>
*Anyone that disagrees with this is not telling the >>>>>>>>>>>>>>>>>>>>> truth*
"Any result that cannot be derived as a pure function >>>>>>>>>>>>>>>>>>>>> -a-aof finite strings is uncomputable." >>>>>>>>>>>>>>>>>>>>>
But Halting *IS* a "pure function of finite strings" >>>>>>>>>>>>>>>>>>>>
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-) >>>>>>>>>>>>>>>>>>> Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-) >>>>>>>>>>>>>>>>>>
Correctly simulated is defined by the semantics >>>>>>>>>>>>>>>>> of C applied to the finite string input for
the N steps until H sees the repeating pattern. >>>>>>>>>>>>>>>>
Ah great this is the first time that you didn't
just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not >>>>>>>>>>>>>>> cheat and call its own decider the input finite
string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-). >>>>>>>>>>>>>>>
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a >>>>>>>>>>>>>> different result from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you >>>>>>>>>>>> can copy it elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence
of steps that a finite string input specifies to a
specific instance of a decider.
Really?
And why is that?
Since the DEFINITION of semantics for strings representing >>>>>>>>>> programs is the operation of that program.
Note, the string represents what it represents to EVERYTHING. >>>>>>>>>>
That definition has always been less than 100%
precisely accurate even when one takes the vague
term: "represents" with a more precise term of
the art-meaning.
Nope, nothing can be more accurate than the actual definition, >>>>>>>>
You got a source for your claim, or is this just another lie out >>>>>>>> of your insanity.
I simply bypass all of that by defining the new
idea of the sequence of steps that a finite string
input instance specifies to its decider instance.
But you don't GET to define the new idea, not without admitting >>>>>>>> you are leaving Computation Theory.
All you are doing is admitting that you logic is built on lying, >>>>>>>>
That is a level of precision that no one bothered
to think about for 90 years. That this level of
detail is empirically proven to make an actual
difference conclusively validates it.
No, your level of stupidity, thinking you get to redefine thing, >>>>>>>> is show to be great.
As I said, All you have done is proved that you don't know what >>>>>>>> you are talking about, but are just making up lies.
If you can't prove your claim in the system, from the defined >>>>>>>> definition, your claims are just admitted lies.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
All that I am doing is exploring the exact details
of that. That no one else bothered to explore these
exact details is no mistake of mine.
doesn't, since their transform depends on hidden state.
Implementation details are irrelevant to theoretical limits.
Not if they mean they don't meet the requirements.
H does apply finite string transformation rules to its
input P deriving {Reject}.
Which makes it a decider, not a halting decider.
H(P) does correctly report on the actual behavior
that its actual input actually specifies.
IF it does, then you lied about building your P by the proof.
As P is supposed to call H with the desciption of itself when run as
an independent program.
Deciders are a pure function of their inputs
proving that H(P)==0 is correct and the requirement
is not a pure function of the input to H(P)
is an incorrect requirement within the definition:
*Deciders are a pure function of their inputs*
0) to Halting.
On 12/26/25 10:48 PM, olcott wrote:
On 12/26/2025 9:37 PM, Richard Damon wrote:
On 12/26/25 10:22 PM, olcott wrote:
On 12/26/2025 9:04 PM, Richard Damon wrote:
On 12/26/25 9:38 PM, olcott wrote:
On 12/26/2025 7:41 PM, Richard Damon wrote:
On 12/26/25 8:17 PM, olcott wrote:
On 12/26/2025 4:29 PM, Richard Damon wrote:So, your H / HH / HHH can be halt decider, at least if you define >>>>>>> them in a way that meets the requirements, which your code
On 12/26/25 1:07 PM, olcott wrote:
On 12/26/2025 11:26 AM, Richard Damon wrote:
On 12/26/25 12:18 PM, olcott wrote:
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote:
On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>> On 12/25/25 11:51 PM, olcott wrote:So, how does that differ from what the program actually >>>>>>>>>>>>>>>>> does?
On 12/25/2025 10:32 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>> On 12/25/25 10:37 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>> On 12/25/2025 9:17 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>> On 12/25/25 10:12 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>> Three different LLMs have been totally convinced >>>>>>>>>>>>>>>>>>>>>>>> a total of 50 times, you just don't understand. >>>>>>>>>>>>>>>>>>>>>>>Only if H doesn't CORRECTLY simulate (M). >>>>>>>>>>>>>>>>>>>
LLM LIE, so are not reliable sources. >>>>>>>>>>>>>>>>>>>>>>>
*Anyone that disagrees with this is not telling >>>>>>>>>>>>>>>>>>>>>> the truth*
"Any result that cannot be derived as a pure function >>>>>>>>>>>>>>>>>>>>>> -a-aof finite strings is uncomputable." >>>>>>>>>>>>>>>>>>>>>>
But Halting *IS* a "pure function of finite strings" >>>>>>>>>>>>>>>>>>>>>
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-)
Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-) >>>>>>>>>>>>>>>>>>>
Correctly simulated is defined by the semantics >>>>>>>>>>>>>>>>>> of C applied to the finite string input for >>>>>>>>>>>>>>>>>> the N steps until H sees the repeating pattern. >>>>>>>>>>>>>>>>>
Ah great this is the first time that you didn't >>>>>>>>>>>>>>>> just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not >>>>>>>>>>>>>>>> cheat and call its own decider the input finite >>>>>>>>>>>>>>>> string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-). >>>>>>>>>>>>>>>>
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a >>>>>>>>>>>>>>> different result from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you >>>>>>>>>>>>> can copy it elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence
of steps that a finite string input specifies to a
specific instance of a decider.
Really?
And why is that?
Since the DEFINITION of semantics for strings representing >>>>>>>>>>> programs is the operation of that program.
Note, the string represents what it represents to EVERYTHING. >>>>>>>>>>>
That definition has always been less than 100%
precisely accurate even when one takes the vague
term: "represents" with a more precise term of
the art-meaning.
Nope, nothing can be more accurate than the actual definition, >>>>>>>>>
You got a source for your claim, or is this just another lie >>>>>>>>> out of your insanity.
I simply bypass all of that by defining the new
idea of the sequence of steps that a finite string
input instance specifies to its decider instance.
But you don't GET to define the new idea, not without admitting >>>>>>>>> you are leaving Computation Theory.
All you are doing is admitting that you logic is built on lying, >>>>>>>>>
That is a level of precision that no one bothered
to think about for 90 years. That this level of
detail is empirically proven to make an actual
difference conclusively validates it.
No, your level of stupidity, thinking you get to redefine
thing, is show to be great.
As I said, All you have done is proved that you don't know what >>>>>>>>> you are talking about, but are just making up lies.
If you can't prove your claim in the system, from the defined >>>>>>>>> definition, your claims are just admitted lies.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
All that I am doing is exploring the exact details
of that. That no one else bothered to explore these
exact details is no mistake of mine.
doesn't, since their transform depends on hidden state.
Implementation details are irrelevant to theoretical limits.
Not if they mean they don't meet the requirements.
H does apply finite string transformation rules to its
input P deriving {Reject}.
Which makes it a decider, not a halting decider.
H(P) does correctly report on the actual behavior
that its actual input actually specifies.
IF it does, then you lied about building your P by the proof.
As P is supposed to call H with the desciption of itself when run as
an independent program.
Deciders are a pure function of their inputs
proving that H(P)==0 is correct and the requirement
is not a pure function of the input to H(P)
is an incorrect requirement within the definition:
*Deciders are a pure function of their inputs*
Doesn't follow.
That H generates a 0 result with the input P only says that is what H computes.
That doesn't make it the correct answer for a Halt Decider.--
You are just proving you (1) don't know what you are talking about, and
(2) don't really care, as you don't try to learn, and thus (3) you are
just proving that you are a stupid and ignorant pathologically lying idiot.
Why do you think the requirement is not a pure function of its input?
Do you even know what that means?
The Halting function maps THIS P (the one based on your H that says H(P)
0) to Halting.
IT maps EVERY possible machine/input to Halting or Not Halting based
solely on that defined machine/input.
Thus, it *IS* a "Pure Function" of that input.
All you are doing is proving how low your intelegence is as you keep on repeating your errors, and just refuse to even try to actually defend
your idea, you just repeat the statement that proves you wrong.
You are likely down to -50 IQ by now, by any scale that measure
logically ability.
On 12/26/2025 10:37 PM, Richard Damon wrote:
On 12/26/25 10:48 PM, olcott wrote:
On 12/26/2025 9:37 PM, Richard Damon wrote:
On 12/26/25 10:22 PM, olcott wrote:
On 12/26/2025 9:04 PM, Richard Damon wrote:
On 12/26/25 9:38 PM, olcott wrote:
On 12/26/2025 7:41 PM, Richard Damon wrote:
On 12/26/25 8:17 PM, olcott wrote:
On 12/26/2025 4:29 PM, Richard Damon wrote:So, your H / HH / HHH can be halt decider, at least if you
On 12/26/25 1:07 PM, olcott wrote:
On 12/26/2025 11:26 AM, Richard Damon wrote:
On 12/26/25 12:18 PM, olcott wrote:
On 12/26/2025 11:07 AM, Richard Damon wrote:
On 12/26/25 11:56 AM, olcott wrote:
On 12/26/2025 10:24 AM, Richard Damon wrote:
On 12/26/25 10:20 AM, olcott wrote:
On 12/26/2025 9:05 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 12/26/25 8:54 AM, olcott wrote:
On 12/26/2025 6:59 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 12/25/25 11:51 PM, olcott wrote:So, how does that differ from what the program >>>>>>>>>>>>>>>>>> actually does?
On 12/25/2025 10:32 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 12/25/25 10:37 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 12/25/2025 9:17 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>>>> On 12/25/25 10:12 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>> Three different LLMs have been totally convinced >>>>>>>>>>>>>>>>>>>>>>>>> a total of 50 times, you just don't understand. >>>>>>>>>>>>>>>>>>>>>>>>Only if H doesn't CORRECTLY simulate (M). >>>>>>>>>>>>>>>>>>>>
LLM LIE, so are not reliable sources. >>>>>>>>>>>>>>>>>>>>>>>>
*Anyone that disagrees with this is not telling >>>>>>>>>>>>>>>>>>>>>>> the truth*
"Any result that cannot be derived as a pure >>>>>>>>>>>>>>>>>>>>>>> function
-a-aof finite strings is uncomputable." >>>>>>>>>>>>>>>>>>>>>>>
But Halting *IS* a "pure function of finite strings" >>>>>>>>>>>>>>>>>>>>>>
And it is uncomputable
Not exactly. Usually rf?Mrf- simulated by H == UTM(rf?Mrf-)
Sometimes rf?Mrf- simulated by H != UTM(rf?Mrf-) >>>>>>>>>>>>>>>>>>>>
Correctly simulated is defined by the semantics >>>>>>>>>>>>>>>>>>> of C applied to the finite string input for >>>>>>>>>>>>>>>>>>> the N steps until H sees the repeating pattern. >>>>>>>>>>>>>>>>>>
Ah great this is the first time that you didn't >>>>>>>>>>>>>>>>> just dodge that out of hundreds of times.
When-so-ever an input finite string rf?Mrf- does not >>>>>>>>>>>>>>>>> cheat and call its own decider the input finite >>>>>>>>>>>>>>>>> string to H(rf?Mrf-) is a valid proxy for UTM(rf?Mrf-). >>>>>>>>>>>>>>>>>
So, you didn't answer the question.
How does H CORRECTLY simulate the input and get a >>>>>>>>>>>>>>>> different result from what the program does?
The finite string P <AS AN ACTUAL INPUT TO> H
is not a valid proxy to UTM(P).
So, you don't understand that a string is a string and you >>>>>>>>>>>>>> can copy it elsewhere?
There is a key semantic difference between a finite
string that describes behavior and the exact sequence >>>>>>>>>>>>> of steps that a finite string input specifies to a
specific instance of a decider.
Really?
And why is that?
Since the DEFINITION of semantics for strings representing >>>>>>>>>>>> programs is the operation of that program.
Note, the string represents what it represents to EVERYTHING. >>>>>>>>>>>>
That definition has always been less than 100%
precisely accurate even when one takes the vague
term: "represents" with a more precise term of
the art-meaning.
Nope, nothing can be more accurate than the actual definition, >>>>>>>>>>
You got a source for your claim, or is this just another lie >>>>>>>>>> out of your insanity.
I simply bypass all of that by defining the new
idea of the sequence of steps that a finite string
input instance specifies to its decider instance.
But you don't GET to define the new idea, not without
admitting you are leaving Computation Theory.
All you are doing is admitting that you logic is built on lying, >>>>>>>>>>
That is a level of precision that no one bothered
to think about for 90 years. That this level of
detail is empirically proven to make an actual
difference conclusively validates it.
No, your level of stupidity, thinking you get to redefine >>>>>>>>>> thing, is show to be great.
As I said, All you have done is proved that you don't know >>>>>>>>>> what you are talking about, but are just making up lies.
If you can't prove your claim in the system, from the defined >>>>>>>>>> definition, your claims are just admitted lies.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
All that I am doing is exploring the exact details
of that. That no one else bothered to explore these
exact details is no mistake of mine.
define them in a way that meets the requirements, which your
code doesn't, since their transform depends on hidden state.
Implementation details are irrelevant to theoretical limits.
Not if they mean they don't meet the requirements.
H does apply finite string transformation rules to its
input P deriving {Reject}.
Which makes it a decider, not a halting decider.
H(P) does correctly report on the actual behavior
that its actual input actually specifies.
IF it does, then you lied about building your P by the proof.
As P is supposed to call H with the desciption of itself when run as
an independent program.
Deciders are a pure function of their inputs
proving that H(P)==0 is correct and the requirement
is not a pure function of the input to H(P)
is an incorrect requirement within the definition:
*Deciders are a pure function of their inputs*
Doesn't follow.
That H generates a 0 result with the input P only says that is what H
computes.
H reports on the actual behavior that its
actual finite string input actually specifies
All deciders essentially: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
P simulated by H is the only correct way of an
infinite set of ways for H to correctly determine
the actual behavior that its actual finite string
input actually specifies
on the basis of finite string transformation rules
applied to its input finite string.
That doesn't make it the correct answer for a Halt Decider.
You are just proving you (1) don't know what you are talking about,
and (2) don't really care, as you don't try to learn, and thus (3) you
are just proving that you are a stupid and ignorant pathologically
lying idiot.
Why do you think the requirement is not a pure function of its input?
Do you even know what that means?
The Halting function maps THIS P (the one based on your H that says
H(P) -> 0) to Halting.
IT maps EVERY possible machine/input to Halting or Not Halting based
solely on that defined machine/input.
Thus, it *IS* a "Pure Function" of that input.
All you are doing is proving how low your intelegence is as you keep
on repeating your errors, and just refuse to even try to actually
defend your idea, you just repeat the statement that proves you wrong.
You are likely down to -50 IQ by now, by any scale that measure
logically ability.
On 12/26/25 11:54 PM, olcott wrote:
On 12/26/2025 10:37 PM, Richard Damon wrote:
On 12/26/25 10:48 PM, olcott wrote:
Deciders are a pure function of their inputs
proving that H(P)==0 is correct and the requirement
is not a pure function of the input to H(P)
is an incorrect requirement within the definition:
*Deciders are a pure function of their inputs*
Doesn't follow.
That H generates a 0 result with the input P only says that is what H
computes.
H reports on the actual behavior that its
actual finite string input actually specifies
Then you admit your string was wrong for the question that P was
supposed to make, and thus you LIED that you followed the proof.
All deciders essentially: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
Yes, but to be a HALT deciders, that mapping needs to match the HALT function,
which is whether the machine so described halts when run, or
equivalently, if UTM applied to that input will halt. (NOT a non-UTM decider, and since H's transform doesn't match the behavior of the
machine the input was said to represent, it isn't a UTM)
P simulated by H is the only correct way of an
infinite set of ways for H to correctly determine
It may be the best it can do, but it isn't sufficient.
Just like if asked someone about the sum of seven and eight, but they
only do arithmatic on their fingers, so they answer "many", the answer gotten isn't correct.
the actual behavior that its actual finite string
input actually specifies
Nope, that behavior comes from its definition.
Either you admit you LIED that your input was proper for the quesiton,
or that you LIED that H correctly analyized the string.
P was SUPPOSED to be asking H about the behavior of P when run,
If the string you gave was correct for that, H's only correct answer
would be halting.
If the string you specifies a non-halting computation, then it couldn't
have been a specifing the behavior of P when run.
You just don't know what you are talking about.
on the basis of finite string transformation rules
applied to its input finite string.
It may be the only method for H, but isn't the definition of the property.
All you are doing is PROVING you don't understand the basic concepts of
the problem, like what a Program is, what Behavior is, What a
Representation is, or even what Truth is.
Sorry, but you are just proving your utter stupidity and inability to
learn basic facts.
That doesn't make it the correct answer for a Halt Decider.
You are just proving you (1) don't know what you are talking about,
and (2) don't really care, as you don't try to learn, and thus (3)
you are just proving that you are a stupid and ignorant
pathologically lying idiot.
Why do you think the requirement is not a pure function of its input?
Do you even know what that means?
The Halting function maps THIS P (the one based on your H that says
H(P) -> 0) to Halting.
IT maps EVERY possible machine/input to Halting or Not Halting based
solely on that defined machine/input.
Thus, it *IS* a "Pure Function" of that input.
All you are doing is proving how low your intelegence is as you keep
on repeating your errors, and just refuse to even try to actually
defend your idea, you just repeat the statement that proves you wrong.
You are likely down to -50 IQ by now, by any scale that measure
logically ability.
On 12/27/2025 7:06 AM, Richard Damon wrote:
On 12/26/25 11:54 PM, olcott wrote:
On 12/26/2025 10:37 PM, Richard Damon wrote:
On 12/26/25 10:48 PM, olcott wrote:
Deciders are a pure function of their inputs
proving that H(P)==0 is correct and the requirement
is not a pure function of the input to H(P)
is an incorrect requirement within the definition:
*Deciders are a pure function of their inputs*
Doesn't follow.
That H generates a 0 result with the input P only says that is what
H computes.
H reports on the actual behavior that its
actual finite string input actually specifies
Then you admit your string was wrong for the question that P was
supposed to make, and thus you LIED that you followed the proof.
All deciders essentially: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
Yes, but to be a HALT deciders, that mapping needs to match the HALT
function,
That mapping does not exist in the input to H(P)
thus it is an incorrect question for H(P).
Undecidability has always been an error in the
specification.
Halting misconceived?
Bill Stoddart
August 25, 2017
http://www.euroforth.org/ef17/papers/stoddart.pdf
which is whether the machine so described halts when run, or
equivalently, if UTM applied to that input will halt. (NOT a non-UTM
decider, and since H's transform doesn't match the behavior of the
machine the input was said to represent, it isn't a UTM)
P simulated by H is the only correct way of an
infinite set of ways for H to correctly determine
It may be the best it can do, but it isn't sufficient.
Just like if asked someone about the sum of seven and eight, but they
only do arithmatic on their fingers, so they answer "many", the answer
gotten isn't correct.
the actual behavior that its actual finite string
input actually specifies
Nope, that behavior comes from its definition.
Either you admit you LIED that your input was proper for the quesiton,
or that you LIED that H correctly analyized the string.
P was SUPPOSED to be asking H about the behavior of P when run,
If the string you gave was correct for that, H's only correct answer
would be halting.
If the string you specifies a non-halting computation, then it
couldn't have been a specifing the behavior of P when run.
You just don't know what you are talking about.
on the basis of finite string transformation rules
applied to its input finite string.
It may be the only method for H, but isn't the definition of the
property.
All you are doing is PROVING you don't understand the basic concepts
of the problem, like what a Program is, what Behavior is, What a
Representation is, or even what Truth is.
Sorry, but you are just proving your utter stupidity and inability to
learn basic facts.
That doesn't make it the correct answer for a Halt Decider.
You are just proving you (1) don't know what you are talking about,
and (2) don't really care, as you don't try to learn, and thus (3)
you are just proving that you are a stupid and ignorant
pathologically lying idiot.
Why do you think the requirement is not a pure function of its input?
Do you even know what that means?
The Halting function maps THIS P (the one based on your H that says
H(P) -> 0) to Halting.
IT maps EVERY possible machine/input to Halting or Not Halting based
solely on that defined machine/input.
Thus, it *IS* a "Pure Function" of that input.
All you are doing is proving how low your intelegence is as you keep
on repeating your errors, and just refuse to even try to actually
defend your idea, you just repeat the statement that proves you wrong. >>>>
You are likely down to -50 IQ by now, by any scale that measure
logically ability.
On 12/27/25 8:20 AM, olcott wrote:
On 12/27/2025 7:06 AM, Richard Damon wrote:
On 12/26/25 11:54 PM, olcott wrote:
On 12/26/2025 10:37 PM, Richard Damon wrote:
On 12/26/25 10:48 PM, olcott wrote:
Deciders are a pure function of their inputs
proving that H(P)==0 is correct and the requirement
is not a pure function of the input to H(P)
is an incorrect requirement within the definition:
*Deciders are a pure function of their inputs*
Doesn't follow.
That H generates a 0 result with the input P only says that is what >>>>> H computes.
H reports on the actual behavior that its
actual finite string input actually specifies
Then you admit your string was wrong for the question that P was
supposed to make, and thus you LIED that you followed the proof.
All deciders essentially: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
Yes, but to be a HALT deciders, that mapping needs to match the HALT
function,
That mapping does not exist in the input to H(P)
thus it is an incorrect question for H(P).
Sure it does, or your H just doesn't support a sufficient language.
The existance of UTM says that the sufficient language exists.
Do you not understand the the program P will either Halt or Not, at
least if it IS a program?
That is part of your problem, you have tried to define you P not to be a program, because your H isn't a program, and thus your whole argument is just a stupid category error because you are too stupid to know what you
are supposed to be talking about.
Undecidability has always been an error in the
specification.
Nope, you are just showing you don't know what you are talking about.
Halting misconceived?
Bill Stoddart
August 25, 2017
http://www.euroforth.org/ef17/papers/stoddart.pdf
Shows he doesn't understand the meaning of the terms, as questions to deciders are not allowed to be subjective, or that programs are wholly self-contained, and not make an external reference.
Erroneous arguments do not prove anything, so failing to use the
established definitions negates the arguement,
All you are doing is saying you are too stupid to learn the basics of
the theory, and will just accept what ever someone who mistakenly agrees with you says.
which is whether the machine so described halts when run, or
equivalently, if UTM applied to that input will halt. (NOT a non-UTM
decider, and since H's transform doesn't match the behavior of the
machine the input was said to represent, it isn't a UTM)
P simulated by H is the only correct way of an
infinite set of ways for H to correctly determine
It may be the best it can do, but it isn't sufficient.
Just like if asked someone about the sum of seven and eight, but they
only do arithmatic on their fingers, so they answer "many", the
answer gotten isn't correct.
the actual behavior that its actual finite string
input actually specifies
Nope, that behavior comes from its definition.
Either you admit you LIED that your input was proper for the
quesiton, or that you LIED that H correctly analyized the string.
P was SUPPOSED to be asking H about the behavior of P when run,
If the string you gave was correct for that, H's only correct answer
would be halting.
If the string you specifies a non-halting computation, then it
couldn't have been a specifing the behavior of P when run.
You just don't know what you are talking about.
on the basis of finite string transformation rules
applied to its input finite string.
It may be the only method for H, but isn't the definition of the
property.
All you are doing is PROVING you don't understand the basic concepts
of the problem, like what a Program is, what Behavior is, What a
Representation is, or even what Truth is.
Sorry, but you are just proving your utter stupidity and inability to
learn basic facts.
That doesn't make it the correct answer for a Halt Decider.
You are just proving you (1) don't know what you are talking about, >>>>> and (2) don't really care, as you don't try to learn, and thus (3)
you are just proving that you are a stupid and ignorant
pathologically lying idiot.
Why do you think the requirement is not a pure function of its input? >>>>>
Do you even know what that means?
The Halting function maps THIS P (the one based on your H that says >>>>> H(P) -> 0) to Halting.
IT maps EVERY possible machine/input to Halting or Not Halting
based solely on that defined machine/input.
Thus, it *IS* a "Pure Function" of that input.
All you are doing is proving how low your intelegence is as you
keep on repeating your errors, and just refuse to even try to
actually defend your idea, you just repeat the statement that
proves you wrong.
You are likely down to -50 IQ by now, by any scale that measure
logically ability.
On 12/27/2025 7:35 AM, Richard Damon wrote:
On 12/27/25 8:20 AM, olcott wrote:
On 12/27/2025 7:06 AM, Richard Damon wrote:
On 12/26/25 11:54 PM, olcott wrote:
On 12/26/2025 10:37 PM, Richard Damon wrote:
On 12/26/25 10:48 PM, olcott wrote:
Deciders are a pure function of their inputs
proving that H(P)==0 is correct and the requirement
is not a pure function of the input to H(P)
is an incorrect requirement within the definition:
*Deciders are a pure function of their inputs*
Doesn't follow.
That H generates a 0 result with the input P only says that is
what H computes.
H reports on the actual behavior that its
actual finite string input actually specifies
Then you admit your string was wrong for the question that P was
supposed to make, and thus you LIED that you followed the proof.
All deciders essentially: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
Yes, but to be a HALT deciders, that mapping needs to match the HALT
function,
That mapping does not exist in the input to H(P)
thus it is an incorrect question for H(P).
Sure it does, or your H just doesn't support a sufficient language.
Show the mapping that H computes on the basis of the
semantics of C to the behavior of UTM(P).
The existance of UTM says that the sufficient language exists.
Do you not understand the the program P will either Halt or Not, at
least if it IS a program?
That is part of your problem, you have tried to define you P not to be
a program, because your H isn't a program, and thus your whole
argument is just a stupid category error because you are too stupid to
know what you are supposed to be talking about.
Undecidability has always been an error in the
specification.
Nope, you are just showing you don't know what you are talking about.
Halting misconceived?
Bill Stoddart
August 25, 2017
http://www.euroforth.org/ef17/papers/stoddart.pdf
Shows he doesn't understand the meaning of the terms, as questions to
deciders are not allowed to be subjective, or that programs are wholly
self-contained, and not make an external reference.
He is a PhD computer science professor
and you don't ever have a bachelors in computer science
Erroneous arguments do not prove anything, so failing to use the
established definitions negates the arguement,
All you are doing is saying you are too stupid to learn the basics of
the theory, and will just accept what ever someone who mistakenly
agrees with you says.
which is whether the machine so described halts when run, or
equivalently, if UTM applied to that input will halt. (NOT a non-UTM
decider, and since H's transform doesn't match the behavior of the
machine the input was said to represent, it isn't a UTM)
P simulated by H is the only correct way of an
infinite set of ways for H to correctly determine
It may be the best it can do, but it isn't sufficient.
Just like if asked someone about the sum of seven and eight, but
they only do arithmatic on their fingers, so they answer "many", the
answer gotten isn't correct.
the actual behavior that its actual finite string
input actually specifies
Nope, that behavior comes from its definition.
Either you admit you LIED that your input was proper for the
quesiton, or that you LIED that H correctly analyized the string.
P was SUPPOSED to be asking H about the behavior of P when run,
If the string you gave was correct for that, H's only correct answer
would be halting.
If the string you specifies a non-halting computation, then it
couldn't have been a specifing the behavior of P when run.
You just don't know what you are talking about.
on the basis of finite string transformation rules
applied to its input finite string.
It may be the only method for H, but isn't the definition of the
property.
All you are doing is PROVING you don't understand the basic concepts
of the problem, like what a Program is, what Behavior is, What a
Representation is, or even what Truth is.
Sorry, but you are just proving your utter stupidity and inability
to learn basic facts.
That doesn't make it the correct answer for a Halt Decider.
You are just proving you (1) don't know what you are talking
about, and (2) don't really care, as you don't try to learn, and
thus (3) you are just proving that you are a stupid and ignorant
pathologically lying idiot.
Why do you think the requirement is not a pure function of its input? >>>>>>
Do you even know what that means?
The Halting function maps THIS P (the one based on your H that
says H(P) -> 0) to Halting.
IT maps EVERY possible machine/input to Halting or Not Halting
based solely on that defined machine/input.
Thus, it *IS* a "Pure Function" of that input.
All you are doing is proving how low your intelegence is as you
keep on repeating your errors, and just refuse to even try to
actually defend your idea, you just repeat the statement that
proves you wrong.
You are likely down to -50 IQ by now, by any scale that measure
logically ability.
On 12/27/25 9:07 AM, olcott wrote:
On 12/27/2025 7:35 AM, Richard Damon wrote:
On 12/27/25 8:20 AM, olcott wrote:
On 12/27/2025 7:06 AM, Richard Damon wrote:
On 12/26/25 11:54 PM, olcott wrote:
On 12/26/2025 10:37 PM, Richard Damon wrote:
On 12/26/25 10:48 PM, olcott wrote:
Deciders are a pure function of their inputs
proving that H(P)==0 is correct and the requirement
is not a pure function of the input to H(P)
is an incorrect requirement within the definition:
*Deciders are a pure function of their inputs*
Doesn't follow.
That H generates a 0 result with the input P only says that is
what H computes.
H reports on the actual behavior that its
actual finite string input actually specifies
Then you admit your string was wrong for the question that P was
supposed to make, and thus you LIED that you followed the proof.
All deciders essentially: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
Yes, but to be a HALT deciders, that mapping needs to match the
HALT function,
That mapping does not exist in the input to H(P)
thus it is an incorrect question for H(P).
Sure it does, or your H just doesn't support a sufficient language.
Show the mapping that H computes on the basis of the
semantics of C to the behavior of UTM(P).
It doesn't, that is why it is wrong.
H only computes the mapping that it was programed with, and if that
isn't the right mapping, it is just wrong.
On 12/27/2025 8:24 AM, Richard Damon wrote:
On 12/27/25 9:07 AM, olcott wrote:
On 12/27/2025 7:35 AM, Richard Damon wrote:
On 12/27/25 8:20 AM, olcott wrote:
On 12/27/2025 7:06 AM, Richard Damon wrote:
On 12/26/25 11:54 PM, olcott wrote:
On 12/26/2025 10:37 PM, Richard Damon wrote:
On 12/26/25 10:48 PM, olcott wrote:
Deciders are a pure function of their inputs
proving that H(P)==0 is correct and the requirement
is not a pure function of the input to H(P)
is an incorrect requirement within the definition:
*Deciders are a pure function of their inputs*
Doesn't follow.
That H generates a 0 result with the input P only says that is >>>>>>>> what H computes.
H reports on the actual behavior that its
actual finite string input actually specifies
Then you admit your string was wrong for the question that P was
supposed to make, and thus you LIED that you followed the proof.
All deciders essentially: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
Yes, but to be a HALT deciders, that mapping needs to match the
HALT function,
That mapping does not exist in the input to H(P)
thus it is an incorrect question for H(P).
Sure it does, or your H just doesn't support a sufficient language.
Show the mapping that H computes on the basis of the
semantics of C to the behavior of UTM(P).
It doesn't, that is why it is wrong.
H only computes the mapping that it was programed with, and if that
isn't the right mapping, it is just wrong.
H is required to compute a mapping that does not exist.
There are no finite string transformation rules from
the input to H(P) to the behavior of UTM(P) that H can
possibly apply to P.
Uncomputable literally means outside the scope of
computation.
On 12/27/25 10:01 AM, olcott wrote:
On 12/27/2025 8:24 AM, Richard Damon wrote:
On 12/27/25 9:07 AM, olcott wrote:
On 12/27/2025 7:35 AM, Richard Damon wrote:
On 12/27/25 8:20 AM, olcott wrote:
On 12/27/2025 7:06 AM, Richard Damon wrote:
On 12/26/25 11:54 PM, olcott wrote:
On 12/26/2025 10:37 PM, Richard Damon wrote:
On 12/26/25 10:48 PM, olcott wrote:
Deciders are a pure function of their inputs
proving that H(P)==0 is correct and the requirement
is not a pure function of the input to H(P)
is an incorrect requirement within the definition:
*Deciders are a pure function of their inputs*
Doesn't follow.
That H generates a 0 result with the input P only says that is >>>>>>>>> what H computes.
H reports on the actual behavior that its
actual finite string input actually specifies
Then you admit your string was wrong for the question that P was >>>>>>> supposed to make, and thus you LIED that you followed the proof. >>>>>>>
All deciders essentially: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
Yes, but to be a HALT deciders, that mapping needs to match the >>>>>>> HALT function,
That mapping does not exist in the input to H(P)
thus it is an incorrect question for H(P).
Sure it does, or your H just doesn't support a sufficient language.
Show the mapping that H computes on the basis of the
semantics of C to the behavior of UTM(P).
It doesn't, that is why it is wrong.
H only computes the mapping that it was programed with, and if that
isn't the right mapping, it is just wrong.
H is required to compute a mapping that does not exist.
The MAPPING EXISTS.
The part it can't compute is [P] -> HALTING, because you defined it to
map that input to non-halting.
You are just showing you are stupid.
There are no finite string transformation rules from
the input to H(P) to the behavior of UTM(P) that H can
possibly apply to P.
Sure there are,
On 12/27/2025 9:10 AM, Richard Damon wrote:
On 12/27/25 10:01 AM, olcott wrote:
On 12/27/2025 8:24 AM, Richard Damon wrote:
On 12/27/25 9:07 AM, olcott wrote:
On 12/27/2025 7:35 AM, Richard Damon wrote:
On 12/27/25 8:20 AM, olcott wrote:
On 12/27/2025 7:06 AM, Richard Damon wrote:
On 12/26/25 11:54 PM, olcott wrote:
On 12/26/2025 10:37 PM, Richard Damon wrote:
On 12/26/25 10:48 PM, olcott wrote:
Deciders are a pure function of their inputs
proving that H(P)==0 is correct and the requirement
is not a pure function of the input to H(P)
is an incorrect requirement within the definition:
*Deciders are a pure function of their inputs*
Doesn't follow.
That H generates a 0 result with the input P only says that is >>>>>>>>>> what H computes.
H reports on the actual behavior that its
actual finite string input actually specifies
Then you admit your string was wrong for the question that P was >>>>>>>> supposed to make, and thus you LIED that you followed the proof. >>>>>>>>
All deciders essentially: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
Yes, but to be a HALT deciders, that mapping needs to match the >>>>>>>> HALT function,
That mapping does not exist in the input to H(P)
thus it is an incorrect question for H(P).
Sure it does, or your H just doesn't support a sufficient language. >>>>>>
Show the mapping that H computes on the basis of the
semantics of C to the behavior of UTM(P).
It doesn't, that is why it is wrong.
H only computes the mapping that it was programed with, and if that
isn't the right mapping, it is just wrong.
H is required to compute a mapping that does not exist.
The MAPPING EXISTS.
The part it can't compute is [P] -> HALTING, because you defined it to
map that input to non-halting.
You are just showing you are stupid.
There are no finite string transformation rules from
the input to H(P) to the behavior of UTM(P) that H can
possibly apply to P.
Sure there are,
You know that it is categorically impossible
for any decider H to correctly report on the
behavior of input P that does the opposite of
whatever H reports.
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
On 12/27/25 11:13 AM, olcott wrote:
On 12/27/2025 9:10 AM, Richard Damon wrote:
On 12/27/25 10:01 AM, olcott wrote:
On 12/27/2025 8:24 AM, Richard Damon wrote:
On 12/27/25 9:07 AM, olcott wrote:
On 12/27/2025 7:35 AM, Richard Damon wrote:
On 12/27/25 8:20 AM, olcott wrote:
On 12/27/2025 7:06 AM, Richard Damon wrote:
On 12/26/25 11:54 PM, olcott wrote:
On 12/26/2025 10:37 PM, Richard Damon wrote:
On 12/26/25 10:48 PM, olcott wrote:
Deciders are a pure function of their inputs
proving that H(P)==0 is correct and the requirement
is not a pure function of the input to H(P)
is an incorrect requirement within the definition:
*Deciders are a pure function of their inputs*
Doesn't follow.
That H generates a 0 result with the input P only says that >>>>>>>>>>> is what H computes.
H reports on the actual behavior that its
actual finite string input actually specifies
Then you admit your string was wrong for the question that P >>>>>>>>> was supposed to make, and thus you LIED that you followed the >>>>>>>>> proof.
All deciders essentially: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
Yes, but to be a HALT deciders, that mapping needs to match the >>>>>>>>> HALT function,
That mapping does not exist in the input to H(P)
thus it is an incorrect question for H(P).
Sure it does, or your H just doesn't support a sufficient language. >>>>>>>
Show the mapping that H computes on the basis of the
semantics of C to the behavior of UTM(P).
It doesn't, that is why it is wrong.
H only computes the mapping that it was programed with, and if that >>>>> isn't the right mapping, it is just wrong.
H is required to compute a mapping that does not exist.
The MAPPING EXISTS.
The part it can't compute is [P] -> HALTING, because you defined it
to map that input to non-halting.
You are just showing you are stupid.
There are no finite string transformation rules from
the input to H(P) to the behavior of UTM(P) that H can
possibly apply to P.
Sure there are,
You know that it is categorically impossible
for any decider H to correctly report on the
behavior of input P that does the opposite of
whatever H reports.
So?
That is what makes the problem uncomputable. Nothing wrong with that.
And that is your problem, you don't understand that some things just
can't be done, even though we may want to do them, and are even allowed
to do it, we just can't.
Just like no law prohibits you from jumping 1000 feet into the air on--
your own, you just aren't able to.
This is why your statements are just proving your stupidity, you keep on trying to say that because H can't actually do that, it is incorrect to
set up a problem that asks it, and you pervert the actual definitions of things to try to make it seem incorrect to do so.
The problem is, as explained, your statement that deciders perform
finite string transformations, while technical correct, is a basically worthless statement, as, since you don't try to describe the limits/
methods of transformations allowed, mean you allow ANY transformation, including the uncomputable ones.
There IS a "transformation" (literally, a changing) that correctly
converts the string that represents the program P to Halting (correct as that is what P does when run), so you can't use your "definition" to say
the question is wrong.
Your problem is you fundamentally don't understand the language of the field, and seem to be grabbing words at random to put together a jargon sentence that you try to force to have a meaning it doesn't have.
The questions that are valid to ask a decider to compute are any total/ complete mapping of input to output.
Note, this sort of mapping CAN be described as a "transform" too.
The issue is that computability, requires that the transform can be
built out of a finite sequence of computable atoms of transformation,
namely a description of a Turing Machine. But this seems beyond your
ability to understand.
It seems part of the problem is you don't understand that H needs to be
*A* program, (as P can't call a set of programs) and thus has *A*
behavior and algorithm, and thus can only do what it is programmed to
do, and thus what it did can't be the criteria for what is allowed, as
it doesn't exist when the question it is designed to answer is posed.
So, what CAN'T be used as a definition of the criteria is what it ends
up doing, which is what you want to to be the requirement.
There ARE programs that can correctly compute the answer for this
particular P, this H, the one that P was built on, just isn't one of
them. Thus, the question about this P *IS* computable, just not by this particular H that gets it wrong.
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/ publication/399111881_Computation_and_Undecidability
Unfulfilled logical impossibilities are defining
a requirement outside the scope of computation.
Undecidability has always been a misnomer for
unfulfilled logical impossibilities.
It has never been any actual limit to computation.
It has always been a requirement outside the scope
of computation.
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it isn't
outside the scope of computing for that reason.
On 12/27/25 11:57 AM, olcott wrote:
Unfulfilled logical impossibilities are definingYou are just misusing gobbledygook jargon that doesn't means anything because you just don't understand what you are saying.
a requirement outside the scope of computation.
Undecidability has always been a misnomer for
unfulfilled logical impossibilities.
It has never been any actual limit to computation.
It has always been a requirement outside the scope
of computation.
You have effectively admitted this because you fail to every try to make
a detailed comment about an error pointed out in your statements,
because you are at least subconciously aware that going one level below
your statements to try to explain will make your errors so obvious that
even in your own stupidity you might understand, so your brainwashing
won't let you go there.
Sorry, you have KIILED your reputation, and buried it under your pile of POOP and sent it to that burning lake of fire where you will eventually accompany it for eternity trying to work out how it could possibly be correct, and every time you make one step forward, the truth will be
shown and you go two steps backwards.
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it isn't
outside the scope of computing for that reason.
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
On 12/27/2025 11:11 AM, Richard Damon wrote:
On 12/27/25 11:57 AM, olcott wrote:
Unfulfilled logical impossibilities are definingYou are just misusing gobbledygook jargon that doesn't means anything
a requirement outside the scope of computation.
Undecidability has always been a misnomer for
unfulfilled logical impossibilities.
It has never been any actual limit to computation.
It has always been a requirement outside the scope
of computation.
because you just don't understand what you are saying.
In other words the term: {logically impossible}
is over-your-head. I don't believe that.
You know that the set of square circles in the
same two dimensional plane is empty.
You are merely pretending to not understand
words that conclusively prove that you are wrong.
You have effectively admitted this because you fail to every try to
make a detailed comment about an error pointed out in your statements,
because you are at least subconciously aware that going one level
below your statements to try to explain will make your errors so
obvious that even in your own stupidity you might understand, so your
brainwashing won't let you go there.
Sorry, you have KIILED your reputation, and buried it under your pile
of POOP and sent it to that burning lake of fire where you will
eventually accompany it for eternity trying to work out how it could
possibly be correct, and every time you make one step forward, the
truth will be shown and you go two steps backwards.
I have known that credibility is a fake measure
of correctness since I was a 14 year old boy.
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it isn't
outside the scope of computing for that reason.
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the representation rules the decider defines, and the steps of the program so represented
when run.
Thus it *IS* a function of the string that was given to the halt--
decider, assuming your "Halt Decider" is capable of being given the
suitible string.
It seems you don't understand what that means.
The string doesn't change when it is also given to a different machine,
and thus UTM(x) can define the meaning of x to H.
It there isn't a UTM that can use the same representation that your
decider uses, then you decider just can't be given the proper input and
just fails to be a halt decider as a category error.
That is like asking a calculator to give you the meaning of a word.
Since you can't give it words, it can't answer.
If you decider can't take actual fully encoded descriptions of a program (which would allow a UTM to exist) it can't be asked about programs, and thus can't be in the category of a halt decider.
That is like saying your calculator is a perfect dictionary, as it give
the correct definition for every word you enter, since you can't enter words, it is never wrong.
Sorry, you are just proving how stupid you are.
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it isn't
outside the scope of computing for that reason.
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the
representation rules the decider defines, and the steps of the program
so represented when run.
Insufficiently precise.
The Halting function computes the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
Thus it *IS* a function of the string that was given to the halt
decider, assuming your "Halt Decider" is capable of being given the
suitible string.
It seems you don't understand what that means.
The string doesn't change when it is also given to a different
machine, and thus UTM(x) can define the meaning of x to H.
It there isn't a UTM that can use the same representation that your
decider uses, then you decider just can't be given the proper input
and just fails to be a halt decider as a category error.
That is like asking a calculator to give you the meaning of a word.
Since you can't give it words, it can't answer.
If you decider can't take actual fully encoded descriptions of a
program (which would allow a UTM to exist) it can't be asked about
programs, and thus can't be in the category of a halt decider.
That is like saying your calculator is a perfect dictionary, as it
give the correct definition for every word you enter, since you can't
enter words, it is never wrong.
Sorry, you are just proving how stupid you are.
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it isn't
outside the scope of computing for that reason.
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the representation rules the decider defines, and the steps of the program so represented
when run.
Thus it *IS* a function of the string that was given to the halt--
decider, assuming your "Halt Decider" is capable of being given the
suitible string.
It seems you don't understand what that means.
The string doesn't change when it is also given to a different machine,
and thus UTM(x) can define the meaning of x to H.
It there isn't a UTM that can use the same representation that your
decider uses, then you decider just can't be given the proper input and
just fails to be a halt decider as a category error.
That is like asking a calculator to give you the meaning of a word.
Since you can't give it words, it can't answer.
If you decider can't take actual fully encoded descriptions of a program (which would allow a UTM to exist) it can't be asked about programs, and thus can't be in the category of a halt decider.
That is like saying your calculator is a perfect dictionary, as it give
the correct definition for every word you enter, since you can't enter words, it is never wrong.
Sorry, you are just proving how stupid you are.
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it isn't
outside the scope of computing for that reason.
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the
representation rules the decider defines, and the steps of the program
so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
Thus it *IS* a function of the string that was given to the halt
decider, assuming your "Halt Decider" is capable of being given the
suitible string.
It seems you don't understand what that means.
The string doesn't change when it is also given to a different
machine, and thus UTM(x) can define the meaning of x to H.
It there isn't a UTM that can use the same representation that your
decider uses, then you decider just can't be given the proper input
and just fails to be a halt decider as a category error.
That is like asking a calculator to give you the meaning of a word.
Since you can't give it words, it can't answer.
If you decider can't take actual fully encoded descriptions of a
program (which would allow a UTM to exist) it can't be asked about
programs, and thus can't be in the category of a halt decider.
That is like saying your calculator is a perfect dictionary, as it
give the correct definition for every word you enter, since you can't
enter words, it is never wrong.
Sorry, you are just proving how stupid you are.
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it isn't >>>>> outside the scope of computing for that reason.
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the
representation rules the decider defines, and the steps of the
program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
But you seem to confuse Deciders with the Function they are trying to compute.
Probably because you are only a junior programmer, and thus think "functions" just are a programming language feature, instead of a core aspect of defining what we want to be computing.
And, as said, and you haven't defended, so I guess you conceed, if the
input "P" given to H when P calls H(P) doesn't specify the actual
behavior of the program P making that call, you just lied about your P
being the proof program.
And thus your claim that it does not, is just an admittion that your
whole arguement is based on the lie that you claimed it was the proof program, when you admit it wasn't.
Thus it *IS* a function of the string that was given to the halt
decider, assuming your "Halt Decider" is capable of being given the
suitible string.
It seems you don't understand what that means.
The string doesn't change when it is also given to a different
machine, and thus UTM(x) can define the meaning of x to H.
It there isn't a UTM that can use the same representation that your
decider uses, then you decider just can't be given the proper input
and just fails to be a halt decider as a category error.
That is like asking a calculator to give you the meaning of a word.
Since you can't give it words, it can't answer.
If you decider can't take actual fully encoded descriptions of a
program (which would allow a UTM to exist) it can't be asked about
programs, and thus can't be in the category of a halt decider.
That is like saying your calculator is a perfect dictionary, as it
give the correct definition for every word you enter, since you can't
enter words, it is never wrong.
Sorry, you are just proving how stupid you are.
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a >>>>>>>>
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it
isn't outside the scope of computing for that reason.
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the
representation rules the decider defines, and the steps of the
program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
But you seem to confuse Deciders with the Function they are trying to
compute.
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
True("What time it is?")
True("This sentence is false.")
When we restrict the domain to coherent English
statements this issue (and Tarski Undefinability)
goes away.
The error of the definition of a halt decider has
this same issue. The domain is the set of finite
strings such that the behavior specified by the
INPUT finite string rf?Mrf- is equivalent to UTM(rf?Mrf-).
Probably because you are only a junior programmer, and thus think
"functions" just are a programming language feature, instead of a core
aspect of defining what we want to be computing.
And, as said, and you haven't defended, so I guess you conceed, if the
input "P" given to H when P calls H(P) doesn't specify the actual
behavior of the program P making that call, you just lied about your P
being the proof program.
And thus your claim that it does not, is just an admittion that your
whole arguement is based on the lie that you claimed it was the proof
program, when you admit it wasn't.
Thus it *IS* a function of the string that was given to the halt
decider, assuming your "Halt Decider" is capable of being given the
suitible string.
It seems you don't understand what that means.
The string doesn't change when it is also given to a different
machine, and thus UTM(x) can define the meaning of x to H.
It there isn't a UTM that can use the same representation that your
decider uses, then you decider just can't be given the proper input
and just fails to be a halt decider as a category error.
That is like asking a calculator to give you the meaning of a word.
Since you can't give it words, it can't answer.
If you decider can't take actual fully encoded descriptions of a
program (which would allow a UTM to exist) it can't be asked about
programs, and thus can't be in the category of a halt decider.
That is like saying your calculator is a perfect dictionary, as it
give the correct definition for every word you enter, since you
can't enter words, it is never wrong.
Sorry, you are just proving how stupid you are.
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a >>>>>>>>>
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it
isn't outside the scope of computing for that reason.
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the
representation rules the decider defines, and the steps of the
program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
But you seem to confuse Deciders with the Function they are trying to
compute.
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and falso otherwise, whether it is FALSE or a non-truth-bearer.
True("What time it is?")
True("This sentence is false.")
When we restrict the domain to coherent English
statements this issue (and Tarski Undefinability)
goes away.
Nope. The problem is the domain is NOT "English statements", but
statements within the field and language of the Formal Logic System.
Something you seem to not understand, because "Formal Logic" has RULES, which you just can't stand.
The error of the definition of a halt decider has
this same issue. The domain is the set of finite
strings such that the behavior specified by the
INPUT finite string rf?Mrf- is equivalent to UTM(rf?Mrf-).
And what is wrong with that?
It ALWAYS has a correct answer.
UTM((M)) will halt if and only if the machine M halts.
A purely objective fact with a binary answer, so suitible for a decision problem.
Probably because you are only a junior programmer, and thus think
"functions" just are a programming language feature, instead of a
core aspect of defining what we want to be computing.
And, as said, and you haven't defended, so I guess you conceed, if
the input "P" given to H when P calls H(P) doesn't specify the actual
behavior of the program P making that call, you just lied about your
P being the proof program.
And thus your claim that it does not, is just an admittion that your
whole arguement is based on the lie that you claimed it was the proof
program, when you admit it wasn't.
Thus it *IS* a function of the string that was given to the halt
decider, assuming your "Halt Decider" is capable of being given the >>>>> suitible string.
It seems you don't understand what that means.
The string doesn't change when it is also given to a different
machine, and thus UTM(x) can define the meaning of x to H.
It there isn't a UTM that can use the same representation that your >>>>> decider uses, then you decider just can't be given the proper input >>>>> and just fails to be a halt decider as a category error.
That is like asking a calculator to give you the meaning of a word. >>>>> Since you can't give it words, it can't answer.
If you decider can't take actual fully encoded descriptions of a
program (which would allow a UTM to exist) it can't be asked about
programs, and thus can't be in the category of a halt decider.
That is like saying your calculator is a perfect dictionary, as it
give the correct definition for every word you enter, since you
can't enter words, it is never wrong.
Sorry, you are just proving how stupid you are.
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a >>>>>>>>>>
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it >>>>>>>> isn't outside the scope of computing for that reason.
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the
representation rules the decider defines, and the steps of the
program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
But you seem to confuse Deciders with the Function they are trying
to compute.
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and falso
otherwise, whether it is FALSE or a non-truth-bearer.
That would seem to make Tarski wrong before he even got started.
True("What time it is?")
True("This sentence is false.")
When we restrict the domain to coherent English
statements this issue (and Tarski Undefinability)
goes away.
Nope. The problem is the domain is NOT "English statements", but
statements within the field and language of the Formal Logic System.
Something you seem to not understand, because "Formal Logic" has
RULES, which you just can't stand.
This is not it.
The notion that when all semantics fully encoded
syntactically such that True(L,x) is always
Provable(L, x) eliminates undecidability is
more than the "learned by rote memorization" people
can begin to fathom.
The error of the definition of a halt decider has
this same issue. The domain is the set of finite
strings such that the behavior specified by the
INPUT finite string rf?Mrf- is equivalent to UTM(rf?Mrf-).
And what is wrong with that?
It ALWAYS has a correct answer.
UTM((M)) will halt if and only if the machine M halts.
A purely objective fact with a binary answer, so suitible for a
decision problem.
Probably because you are only a junior programmer, and thus think
"functions" just are a programming language feature, instead of a
core aspect of defining what we want to be computing.
And, as said, and you haven't defended, so I guess you conceed, if
the input "P" given to H when P calls H(P) doesn't specify the
actual behavior of the program P making that call, you just lied
about your P being the proof program.
And thus your claim that it does not, is just an admittion that your
whole arguement is based on the lie that you claimed it was the
proof program, when you admit it wasn't.
Thus it *IS* a function of the string that was given to the halt
decider, assuming your "Halt Decider" is capable of being given
the suitible string.
It seems you don't understand what that means.
The string doesn't change when it is also given to a different
machine, and thus UTM(x) can define the meaning of x to H.
It there isn't a UTM that can use the same representation that
your decider uses, then you decider just can't be given the proper >>>>>> input and just fails to be a halt decider as a category error.
That is like asking a calculator to give you the meaning of a
word. Since you can't give it words, it can't answer.
If you decider can't take actual fully encoded descriptions of a
program (which would allow a UTM to exist) it can't be asked about >>>>>> programs, and thus can't be in the category of a halt decider.
That is like saying your calculator is a perfect dictionary, as it >>>>>> give the correct definition for every word you enter, since you
can't enter words, it is never wrong.
Sorry, you are just proving how stupid you are.
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a >>>>>>>>>>>
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it >>>>>>>>> isn't outside the scope of computing for that reason.
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the
representation rules the decider defines, and the steps of the
program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
But you seem to confuse Deciders with the Function they are trying
to compute.
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and falso
otherwise, whether it is FALSE or a non-truth-bearer.
That would seem to make Tarski wrong before he even got started.
Why do you say that?
Your problem is you don't know what you are talking about.
Your don't know what Truth means, particuarly within a Formal System, because you don't understand what that is.
True("What time it is?")
True("This sentence is false.")
When we restrict the domain to coherent English
statements this issue (and Tarski Undefinability)
goes away.
Nope. The problem is the domain is NOT "English statements", but
statements within the field and language of the Formal Logic System.
Something you seem to not understand, because "Formal Logic" has
RULES, which you just can't stand.
This is not it.
The notion that when all semantics fully encoded
syntactically such that True(L,x) is always
Provable(L, x) eliminates undecidability is
more than the "learned by rote memorization" people
can begin to fathom.
But he shows this doesn't work.
What has been shown is that if you logic system can support the
properties of the natural numbers, you can make a statement that must be true, but can't be proven in the system.
Your problem is you can't understand such a system, because your mind is just to small.
The error of the definition of a halt decider has
this same issue. The domain is the set of finite
strings such that the behavior specified by the
INPUT finite string rf?Mrf- is equivalent to UTM(rf?Mrf-).
And what is wrong with that?
It ALWAYS has a correct answer.
UTM((M)) will halt if and only if the machine M halts.
A purely objective fact with a binary answer, so suitible for a
decision problem.
Probably because you are only a junior programmer, and thus think
"functions" just are a programming language feature, instead of a
core aspect of defining what we want to be computing.
And, as said, and you haven't defended, so I guess you conceed, if
the input "P" given to H when P calls H(P) doesn't specify the
actual behavior of the program P making that call, you just lied
about your P being the proof program.
And thus your claim that it does not, is just an admittion that
your whole arguement is based on the lie that you claimed it was
the proof program, when you admit it wasn't.
Thus it *IS* a function of the string that was given to the halt >>>>>>> decider, assuming your "Halt Decider" is capable of being given >>>>>>> the suitible string.
It seems you don't understand what that means.
The string doesn't change when it is also given to a different
machine, and thus UTM(x) can define the meaning of x to H.
It there isn't a UTM that can use the same representation that
your decider uses, then you decider just can't be given the
proper input and just fails to be a halt decider as a category
error.
That is like asking a calculator to give you the meaning of a
word. Since you can't give it words, it can't answer.
If you decider can't take actual fully encoded descriptions of a >>>>>>> program (which would allow a UTM to exist) it can't be asked
about programs, and thus can't be in the category of a halt decider. >>>>>>>
That is like saying your calculator is a perfect dictionary, as >>>>>>> it give the correct definition for every word you enter, since
you can't enter words, it is never wrong.
Sorry, you are just proving how stupid you are.
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a >>>>>>>>>>>>
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it >>>>>>>>>> isn't outside the scope of computing for that reason.
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the
representation rules the decider defines, and the steps of the >>>>>>>> program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
But you seem to confuse Deciders with the Function they are trying >>>>>> to compute.
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and falso
otherwise, whether it is FALSE or a non-truth-bearer.
That would seem to make Tarski wrong before he even got started.
Why do you say that?
Your problem is you don't know what you are talking about.
Your don't know what Truth means, particuarly within a Formal System,
because you don't understand what that is.
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f-a74007045a4a >>>>>>>>>>>>>
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability
But since Halting *IS* a "Pure Function of finite strings" it >>>>>>>>>>> isn't outside the scope of computing for that reason.
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the
representation rules the decider defines, and the steps of the >>>>>>>>> program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
But you seem to confuse Deciders with the Function they are
trying to compute.
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and falso >>>>> otherwise, whether it is FALSE or a non-truth-bearer.
That would seem to make Tarski wrong before he even got started.
Why do you say that?
Your problem is you don't know what you are talking about.
Your don't know what Truth means, particuarly within a Formal System,
because you don't understand what that is.
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
True is a formal system means that there is a (possible infinite)
sequence of the Truth Preserving operations (defined in the system) from
the Fundamental Truth Makers (axiom) of the system.
The problem is that any statement True by only an infinite sequence of
Truth Preserving operations can't be proven, as Proofs are defined as
Finite sequences.
On 12/27/2025 2:00 PM, Richard Damon wrote:
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f- >>>>>>>>>>>>>> a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite strings" >>>>>>>>>>>> it isn't outside the scope of computing for that reason. >>>>>>>>>>>>
Halting *IS* a "Pure Function of finite string INPUTS.
It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the >>>>>>>>>> representation rules the decider defines, and the steps of the >>>>>>>>>> program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
But you seem to confuse Deciders with the Function they are
trying to compute.
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and
falso otherwise, whether it is FALSE or a non-truth-bearer.
That would seem to make Tarski wrong before he even got started.
Why do you say that?
Your problem is you don't know what you are talking about.
Your don't know what Truth means, particuarly within a Formal
System, because you don't understand what that is.
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax
with no reference to any aspect of model theory is needed?
True is a formal system means that there is a (possible infinite)
sequence of the Truth Preserving operations (defined in the system)
from the Fundamental Truth Makers (axiom) of the system.
The problem is that any statement True by only an infinite sequence of
Truth Preserving operations can't be proven, as Proofs are defined as
Finite sequences.
On 12/27/25 3:13 PM, olcott wrote:
On 12/27/2025 2:00 PM, Richard Damon wrote:
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f- >>>>>>>>>>>>>>> a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite strings" >>>>>>>>>>>>> it isn't outside the scope of computing for that reason. >>>>>>>>>>>>>
Halting *IS* a "Pure Function of finite string INPUTS. >>>>>>>>>>>> It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the >>>>>>>>>>> representation rules the decider defines, and the steps of >>>>>>>>>>> the program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
But you seem to confuse Deciders with the Function they are >>>>>>>>> trying to compute.
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and
falso otherwise, whether it is FALSE or a non-truth-bearer.
That would seem to make Tarski wrong before he even got started.
Why do you say that?
Your problem is you don't know what you are talking about.
Your don't know what Truth means, particuarly within a Formal
System, because you don't understand what that is.
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax
with no reference to any aspect of model theory is needed?
Sure, after all, its "semantics" are DEFINED by the logic rules it
defines, which are syntactic.
Many formal system might just define that they use one of the standard
logic formulations that Model Theory describe, because why should the
just repeat all the basic definitions.
Why do you want to avoid references to more basic systems that they
build on?
Would you expect every system that uses numbers to begin with ZFC and re-derive all the number systems they use?
Maybe you should try your own medicine, define YOUR logic system TOTALLY from the fundamental definitions, and not use any existing logical
terms, like semantic entailment, but actually DEFINE what you mean by that.
Try to DEFINE what you FORMALLY mean by semantics.
True is a formal system means that there is a (possible infinite)
sequence of the Truth Preserving operations (defined in the system)
from the Fundamental Truth Makers (axiom) of the system.
The problem is that any statement True by only an infinite sequence
of Truth Preserving operations can't be proven, as Proofs are defined
as Finite sequences.
On 12/27/25 3:13 PM, olcott wrote:
On 12/27/2025 2:00 PM, Richard Damon wrote:
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f- >>>>>>>>>>>>>>> a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite strings" >>>>>>>>>>>>> it isn't outside the scope of computing for that reason. >>>>>>>>>>>>>
Halting *IS* a "Pure Function of finite string INPUTS. >>>>>>>>>>>> It was never a function of finite string NON-INPUTS.
No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the >>>>>>>>>>> representation rules the decider defines, and the steps of >>>>>>>>>>> the program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
But you seem to confuse Deciders with the Function they are >>>>>>>>> trying to compute.
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and
falso otherwise, whether it is FALSE or a non-truth-bearer.
That would seem to make Tarski wrong before he even got started.
Why do you say that?
Your problem is you don't know what you are talking about.
Your don't know what Truth means, particuarly within a Formal
System, because you don't understand what that is.
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax
with no reference to any aspect of model theory is needed?
Sure, after all, its "semantics" are DEFINED by the logic rules it
defines, which are syntactic.
Many formal system might just define that they use one of the standard
logic formulations that Model Theory describe, because why should the
just repeat all the basic definitions.
Why do you want to avoid references to more basic systems that they
build on?
Would you expect every system that uses numbers to begin with ZFC and re-derive all the number systems they use?
Maybe you should try your own medicine, define YOUR logic system TOTALLY from the fundamental definitions, and not use any existing logical
terms, like semantic entailment, but actually DEFINE what you mean by that.
Try to DEFINE what you FORMALLY mean by semantics.
True is a formal system means that there is a (possible infinite)
sequence of the Truth Preserving operations (defined in the system)
from the Fundamental Truth Makers (axiom) of the system.
The problem is that any statement True by only an infinite sequence
of Truth Preserving operations can't be proven, as Proofs are defined
as Finite sequences.
On 12/27/2025 2:51 PM, Richard Damon wrote:
On 12/27/25 3:13 PM, olcott wrote:
On 12/27/2025 2:00 PM, Richard Damon wrote:
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f- >>>>>>>>>>>>>>>> a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite strings" >>>>>>>>>>>>>> it isn't outside the scope of computing for that reason. >>>>>>>>>>>>>>
Halting *IS* a "Pure Function of finite string INPUTS. >>>>>>>>>>>>> It was never a function of finite string NON-INPUTS. >>>>>>>>>>>>> No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the >>>>>>>>>>>> representation rules the decider defines, and the steps of >>>>>>>>>>>> the program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
But you seem to confuse Deciders with the Function they are >>>>>>>>>> trying to compute.
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and >>>>>>>> falso otherwise, whether it is FALSE or a non-truth-bearer.
That would seem to make Tarski wrong before he even got started.
Why do you say that?
Your problem is you don't know what you are talking about.
Your don't know what Truth means, particuarly within a Formal
System, because you don't understand what that is.
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax
with no reference to any aspect of model theory is needed?
Sure, after all, its "semantics" are DEFINED by the logic rules it
defines, which are syntactic.
Many formal system might just define that they use one of the standard
logic formulations that Model Theory describe, because why should the
just repeat all the basic definitions.
Why do you want to avoid references to more basic systems that they
build on?
Would you expect every system that uses numbers to begin with ZFC and
re-derive all the number systems they use?
Maybe you should try your own medicine, define YOUR logic system
TOTALLY from the fundamental definitions, and not use any existing
logical terms, like semantic entailment, but actually DEFINE what you
mean by that.
Try to DEFINE what you FORMALLY mean by semantics.
A system such all semantic meaning of the formal
system is directly encoded in the syntax of the
formal language of the formal system making
reCx ree L (Provable(L,x) rei True(L,x))
True is a formal system means that there is a (possible infinite)
sequence of the Truth Preserving operations (defined in the system)
from the Fundamental Truth Makers (axiom) of the system.
The problem is that any statement True by only an infinite sequence
of Truth Preserving operations can't be proven, as Proofs are
defined as Finite sequences.
On 12/27/2025 2:51 PM, Richard Damon wrote:
On 12/27/25 3:13 PM, olcott wrote:
On 12/27/2025 2:00 PM, Richard Damon wrote:
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f- >>>>>>>>>>>>>>>> a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite strings" >>>>>>>>>>>>>> it isn't outside the scope of computing for that reason. >>>>>>>>>>>>>>
Halting *IS* a "Pure Function of finite string INPUTS. >>>>>>>>>>>>> It was never a function of finite string NON-INPUTS. >>>>>>>>>>>>> No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the >>>>>>>>>>>> representation rules the decider defines, and the steps of >>>>>>>>>>>> the program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies.
But you seem to confuse Deciders with the Function they are >>>>>>>>>> trying to compute.
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and >>>>>>>> falso otherwise, whether it is FALSE or a non-truth-bearer.
That would seem to make Tarski wrong before he even got started.
Why do you say that?
Your problem is you don't know what you are talking about.
Your don't know what Truth means, particuarly within a Formal
System, because you don't understand what that is.
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax
with no reference to any aspect of model theory is needed?
Sure, after all, its "semantics" are DEFINED by the logic rules it
defines, which are syntactic.
That is not the full semantics that with formal
languages always requires a separate "interpretation"
in a model.
Many formal system might just define that they use one of the standard
logic formulations that Model Theory describe, because why should the
just repeat all the basic definitions.
Why do you want to avoid references to more basic systems that they
build on?
Would you expect every system that uses numbers to begin with ZFC and
re-derive all the number systems they use?
Maybe you should try your own medicine, define YOUR logic system
TOTALLY from the fundamental definitions, and not use any existing
logical terms, like semantic entailment, but actually DEFINE what you
mean by that.
Try to DEFINE what you FORMALLY mean by semantics.
True is a formal system means that there is a (possible infinite)
sequence of the Truth Preserving operations (defined in the system)
from the Fundamental Truth Makers (axiom) of the system.
The problem is that any statement True by only an infinite sequence
of Truth Preserving operations can't be proven, as Proofs are
defined as Finite sequences.
On 12/27/25 4:04 PM, olcott wrote:
On 12/27/2025 2:51 PM, Richard Damon wrote:
On 12/27/25 3:13 PM, olcott wrote:
On 12/27/2025 2:00 PM, Richard Damon wrote:
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:Why do you say that?
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:But you seem to confuse Deciders with the Function they are >>>>>>>>>>> trying to compute.
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f- >>>>>>>>>>>>>>>>> a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite >>>>>>>>>>>>>>> strings" it isn't outside the scope of computing for that >>>>>>>>>>>>>>> reason.
Halting *IS* a "Pure Function of finite string INPUTS. >>>>>>>>>>>>>> It was never a function of finite string NON-INPUTS. >>>>>>>>>>>>>> No one has bothered to notice that for 90 years.
Right.
The Halting function is defined for a string based on the >>>>>>>>>>>>> representation rules the decider defines, and the steps of >>>>>>>>>>>>> the program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies. >>>>>>>>>>>
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and >>>>>>>>> falso otherwise, whether it is FALSE or a non-truth-bearer.
That would seem to make Tarski wrong before he even got started. >>>>>>>
Your problem is you don't know what you are talking about.
Your don't know what Truth means, particuarly within a Formal
System, because you don't understand what that is.
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax
with no reference to any aspect of model theory is needed?
Sure, after all, its "semantics" are DEFINED by the logic rules it
defines, which are syntactic.
Many formal system might just define that they use one of the
standard logic formulations that Model Theory describe, because why
should the just repeat all the basic definitions.
Why do you want to avoid references to more basic systems that they
build on?
Would you expect every system that uses numbers to begin with ZFC and
re-derive all the number systems they use?
Maybe you should try your own medicine, define YOUR logic system
TOTALLY from the fundamental definitions, and not use any existing
logical terms, like semantic entailment, but actually DEFINE what you
mean by that.
Try to DEFINE what you FORMALLY mean by semantics.
A system such all semantic meaning of the formal
system is directly encoded in the syntax of the
formal language of the formal system making
reCx ree L (Provable(L,x) rei True(L,x))
Note, this doesn't DEFINE semantics, but gives a result of it.
And you don't understand that such a system CAN NOT (by proof)
understand the properties of the Natural Numbers?
For your requirement, ALL truths must derive from only a finite length sequence of operations, and thus is naturally limited in its power.
It can not handle most systems with a countably infinite domain of
regard, so not Natural Numbers, not Finite Strings, not Turing Complete Systems.
True is a formal system means that there is a (possible infinite)
sequence of the Truth Preserving operations (defined in the system) >>>>> from the Fundamental Truth Makers (axiom) of the system.
The problem is that any statement True by only an infinite sequence >>>>> of Truth Preserving operations can't be proven, as Proofs are
defined as Finite sequences.
On 12/27/2025 3:14 PM, Richard Damon wrote:
On 12/27/25 4:04 PM, olcott wrote:
On 12/27/2025 2:51 PM, Richard Damon wrote:
On 12/27/25 3:13 PM, olcott wrote:
On 12/27/2025 2:00 PM, Richard Damon wrote:
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:Why do you say that?
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:But you seem to confuse Deciders with the Function they are >>>>>>>>>>>> trying to compute.
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f- >>>>>>>>>>>>>>>>>> a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite >>>>>>>>>>>>>>>> strings" it isn't outside the scope of computing for >>>>>>>>>>>>>>>> that reason.
Halting *IS* a "Pure Function of finite string INPUTS. >>>>>>>>>>>>>>> It was never a function of finite string NON-INPUTS. >>>>>>>>>>>>>>> No one has bothered to notice that for 90 years. >>>>>>>>>>>>>>>
Right.
The Halting function is defined for a string based on the >>>>>>>>>>>>>> representation rules the decider defines, and the steps of >>>>>>>>>>>>>> the program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies. >>>>>>>>>>>>
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and >>>>>>>>>> falso otherwise, whether it is FALSE or a non-truth-bearer. >>>>>>>>>>
That would seem to make Tarski wrong before he even got started. >>>>>>>>
Your problem is you don't know what you are talking about.
Your don't know what Truth means, particuarly within a Formal >>>>>>>> System, because you don't understand what that is.
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax
with no reference to any aspect of model theory is needed?
Sure, after all, its "semantics" are DEFINED by the logic rules it
defines, which are syntactic.
Many formal system might just define that they use one of the
standard logic formulations that Model Theory describe, because why
should the just repeat all the basic definitions.
Why do you want to avoid references to more basic systems that they
build on?
Would you expect every system that uses numbers to begin with ZFC
and re-derive all the number systems they use?
Maybe you should try your own medicine, define YOUR logic system
TOTALLY from the fundamental definitions, and not use any existing
logical terms, like semantic entailment, but actually DEFINE what
you mean by that.
Try to DEFINE what you FORMALLY mean by semantics.
A system such all semantic meaning of the formal
system is directly encoded in the syntax of the
formal language of the formal system making
reCx ree L (Provable(L,x) rei True(L,x))
Note, this doesn't DEFINE semantics, but gives a result of it.
And you don't understand that such a system CAN NOT (by proof)
understand the properties of the Natural Numbers?
Sure it can.
?- G = not(provable(F, G)).
G = not(provable(F, G)).
?- unify_with_occurs_check(G, not(provable(F, G))).
false.
All LLM systems totally understand exactly what
that means.
For your requirement, ALL truths must derive from only a finite length
sequence of operations, and thus is naturally limited in its power.
Limited to the entire body of general knowledge
+ any specific situation knowledge provided to them.
It can not handle most systems with a countably infinite domain of
regard, so not Natural Numbers, not Finite Strings, not Turing
Complete Systems.
It can handle them at least to the same extent
as humans minds. Algorithmic compression.
True is a formal system means that there is a (possible infinite) >>>>>> sequence of the Truth Preserving operations (defined in the
system) from the Fundamental Truth Makers (axiom) of the system.
The problem is that any statement True by only an infinite
sequence of Truth Preserving operations can't be proven, as Proofs >>>>>> are defined as Finite sequences.
On 12/27/25 4:50 PM, olcott wrote:
On 12/27/2025 3:14 PM, Richard Damon wrote:
On 12/27/25 4:04 PM, olcott wrote:
On 12/27/2025 2:51 PM, Richard Damon wrote:
On 12/27/25 3:13 PM, olcott wrote:
On 12/27/2025 2:00 PM, Richard Damon wrote:
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:Why do you say that?
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:But you seem to confuse Deciders with the Function they are >>>>>>>>>>>>> trying to compute.
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote:
On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f- >>>>>>>>>>>>>>>>>>> a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite >>>>>>>>>>>>>>>>> strings" it isn't outside the scope of computing for >>>>>>>>>>>>>>>>> that reason.
Halting *IS* a "Pure Function of finite string INPUTS. >>>>>>>>>>>>>>>> It was never a function of finite string NON-INPUTS. >>>>>>>>>>>>>>>> No one has bothered to notice that for 90 years. >>>>>>>>>>>>>>>>
Right.
The Halting function is defined for a string based on the >>>>>>>>>>>>>>> representation rules the decider defines, and the steps >>>>>>>>>>>>>>> of the program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior
that this actual input finite string actually specifies. >>>>>>>>>>>>>
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, and >>>>>>>>>>> falso otherwise, whether it is FALSE or a non-truth-bearer. >>>>>>>>>>>
That would seem to make Tarski wrong before he even got started. >>>>>>>>>
Your problem is you don't know what you are talking about.
Your don't know what Truth means, particuarly within a Formal >>>>>>>>> System, because you don't understand what that is.
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax
with no reference to any aspect of model theory is needed?
Sure, after all, its "semantics" are DEFINED by the logic rules it
defines, which are syntactic.
Many formal system might just define that they use one of the
standard logic formulations that Model Theory describe, because why >>>>> should the just repeat all the basic definitions.
Why do you want to avoid references to more basic systems that they >>>>> build on?
Would you expect every system that uses numbers to begin with ZFC
and re-derive all the number systems they use?
Maybe you should try your own medicine, define YOUR logic system
TOTALLY from the fundamental definitions, and not use any existing
logical terms, like semantic entailment, but actually DEFINE what
you mean by that.
Try to DEFINE what you FORMALLY mean by semantics.
A system such all semantic meaning of the formal
system is directly encoded in the syntax of the
formal language of the formal system making
reCx ree L (Provable(L,x) rei True(L,x))
Note, this doesn't DEFINE semantics, but gives a result of it.
And you don't understand that such a system CAN NOT (by proof)
understand the properties of the Natural Numbers?
Sure it can.
?- G = not(provable(F, G)).
That isn't G, that is an interpretation of G, only available in a mete- theory.
All you are doing is showing your stupidity.
G = not(provable(F, G)).
?- unify_with_occurs_check(G, not(provable(F, G))).
false.
Which just shows that Prolog can't handle your meaning.
All LLM systems totally understand exactly what
that means.
No, they can spit out words that make stupid you think they do.
For your requirement, ALL truths must derive from only a finite
length sequence of operations, and thus is naturally limited in its
power.
Limited to the entire body of general knowledge
+ any specific situation knowledge provided to them.
But still limited. And that isn't even a real system.
After all, General Knowledge is an inconsistent set of information
It can not handle most systems with a countably infinite domain of
regard, so not Natural Numbers, not Finite Strings, not Turing
Complete Systems.
It can handle them at least to the same extent
as humans minds. Algorithmic compression.
NOPE, As if it could handle Natural Numbers, then we could create the G
for the system, and it couldn't prove it.
Maybe it could handle everything YOU can comprehend, but that isn't much.
After all, you have shown you can't comprehend Godel's logic, or how infinity works, and it seems you don't actually understand how induction works, so nothine proven by it.
True is a formal system means that there is a (possible infinite) >>>>>>> sequence of the Truth Preserving operations (defined in the
system) from the Fundamental Truth Makers (axiom) of the system. >>>>>>>
The problem is that any statement True by only an infinite
sequence of Truth Preserving operations can't be proven, as
Proofs are defined as Finite sequences.
On 12/27/2025 4:07 PM, Richard Damon wrote:
On 12/27/25 4:50 PM, olcott wrote:
On 12/27/2025 3:14 PM, Richard Damon wrote:
On 12/27/25 4:04 PM, olcott wrote:
On 12/27/2025 2:51 PM, Richard Damon wrote:
On 12/27/25 3:13 PM, olcott wrote:
On 12/27/2025 2:00 PM, Richard Damon wrote:
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:Why do you say that?
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:But you seem to confuse Deciders with the Function they >>>>>>>>>>>>>> are trying to compute.
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f- >>>>>>>>>>>>>>>>>>>> a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite >>>>>>>>>>>>>>>>>> strings" it isn't outside the scope of computing for >>>>>>>>>>>>>>>>>> that reason.
Halting *IS* a "Pure Function of finite string INPUTS. >>>>>>>>>>>>>>>>> It was never a function of finite string NON-INPUTS. >>>>>>>>>>>>>>>>> No one has bothered to notice that for 90 years. >>>>>>>>>>>>>>>>>
Right.
The Halting function is defined for a string based on >>>>>>>>>>>>>>>> the representation rules the decider defines, and the >>>>>>>>>>>>>>>> steps of the program so represented when run.
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior >>>>>>>>>>>>>>> that this actual input finite string actually specifies. >>>>>>>>>>>>>>
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, >>>>>>>>>>>> and falso otherwise, whether it is FALSE or a non-truth-bearer. >>>>>>>>>>>>
That would seem to make Tarski wrong before he even got started. >>>>>>>>>>
Your problem is you don't know what you are talking about. >>>>>>>>>>
Your don't know what Truth means, particuarly within a Formal >>>>>>>>>> System, because you don't understand what that is.
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax
with no reference to any aspect of model theory is needed?
Sure, after all, its "semantics" are DEFINED by the logic rules it >>>>>> defines, which are syntactic.
Many formal system might just define that they use one of the
standard logic formulations that Model Theory describe, because
why should the just repeat all the basic definitions.
Why do you want to avoid references to more basic systems that
they build on?
Would you expect every system that uses numbers to begin with ZFC >>>>>> and re-derive all the number systems they use?
Maybe you should try your own medicine, define YOUR logic system
TOTALLY from the fundamental definitions, and not use any existing >>>>>> logical terms, like semantic entailment, but actually DEFINE what >>>>>> you mean by that.
Try to DEFINE what you FORMALLY mean by semantics.
A system such all semantic meaning of the formal
system is directly encoded in the syntax of the
formal language of the formal system making
reCx ree L (Provable(L,x) rei True(L,x))
Note, this doesn't DEFINE semantics, but gives a result of it.
And you don't understand that such a system CAN NOT (by proof)
understand the properties of the Natural Numbers?
Sure it can.
?- G = not(provable(F, G)).
That isn't G, that is an interpretation of G, only available in a
mete- theory.
All you are doing is showing your stupidity.
G = not(provable(F, G)).
?- unify_with_occurs_check(G, not(provable(F, G))).
false.
Which just shows that Prolog can't handle your meaning.
All LLM systems totally understand exactly what
that means.
No, they can spit out words that make stupid you think they do.
For your requirement, ALL truths must derive from only a finite
length sequence of operations, and thus is naturally limited in its
power.
Limited to the entire body of general knowledge
+ any specific situation knowledge provided to them.
But still limited. And that isn't even a real system.
After all, General Knowledge is an inconsistent set of information
You just can't comprehend that knowledge is
structured in an acyclic directed graph.
It can not handle most systems with a countably infinite domain of
regard, so not Natural Numbers, not Finite Strings, not Turing
Complete Systems.
It can handle them at least to the same extent
as humans minds. Algorithmic compression.
NOPE, As if it could handle Natural Numbers, then we could create the
G for the system, and it couldn't prove it.
It is merely that diagonalization hides the semantic
incoherence that reject's G.
Maybe it could handle everything YOU can comprehend, but that isn't much.
After all, you have shown you can't comprehend Godel's logic, or how
infinity works, and it seems you don't actually understand how
induction works, so nothine proven by it.
True is a formal system means that there is a (possible
infinite) sequence of the Truth Preserving operations (defined >>>>>>>> in the system) from the Fundamental Truth Makers (axiom) of the >>>>>>>> system.
The problem is that any statement True by only an infinite
sequence of Truth Preserving operations can't be proven, as
Proofs are defined as Finite sequences.
On 12/27/25 5:16 PM, olcott wrote:
On 12/27/2025 4:07 PM, Richard Damon wrote:
On 12/27/25 4:50 PM, olcott wrote:
On 12/27/2025 3:14 PM, Richard Damon wrote:
On 12/27/25 4:04 PM, olcott wrote:
On 12/27/2025 2:51 PM, Richard Damon wrote:
On 12/27/25 3:13 PM, olcott wrote:
On 12/27/2025 2:00 PM, Richard Damon wrote:
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote:But you seem to confuse Deciders with the Function they >>>>>>>>>>>>>>> are trying to compute.
On 12/27/25 12:11 PM, olcott wrote:
On 12/27/2025 11:06 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>> On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote:
https://chatgpt.com/share/694dcae3-a210-8011-b12f- >>>>>>>>>>>>>>>>>>>>> a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite >>>>>>>>>>>>>>>>>>> strings" it isn't outside the scope of computing for >>>>>>>>>>>>>>>>>>> that reason.
Halting *IS* a "Pure Function of finite string INPUTS. >>>>>>>>>>>>>>>>>> It was never a function of finite string NON-INPUTS. >>>>>>>>>>>>>>>>>> No one has bothered to notice that for 90 years. >>>>>>>>>>>>>>>>>>
Right.
The Halting function is defined for a string based on >>>>>>>>>>>>>>>>> the representation rules the decider defines, and the >>>>>>>>>>>>>>>>> steps of the program so represented when run. >>>>>>>>>>>>>>>>>
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior >>>>>>>>>>>>>>>> that this actual input finite string actually specifies. >>>>>>>>>>>>>>>
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, >>>>>>>>>>>>> and falso otherwise, whether it is FALSE or a non-truth- >>>>>>>>>>>>> bearer.
That would seem to make Tarski wrong before he even got >>>>>>>>>>>> started.
Why do you say that?
Your problem is you don't know what you are talking about. >>>>>>>>>>>
Your don't know what Truth means, particuarly within a Formal >>>>>>>>>>> System, because you don't understand what that is.
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax
with no reference to any aspect of model theory is needed?
Sure, after all, its "semantics" are DEFINED by the logic rules >>>>>>> it defines, which are syntactic.
Many formal system might just define that they use one of the
standard logic formulations that Model Theory describe, because >>>>>>> why should the just repeat all the basic definitions.
Why do you want to avoid references to more basic systems that
they build on?
Would you expect every system that uses numbers to begin with ZFC >>>>>>> and re-derive all the number systems they use?
Maybe you should try your own medicine, define YOUR logic system >>>>>>> TOTALLY from the fundamental definitions, and not use any
existing logical terms, like semantic entailment, but actually
DEFINE what you mean by that.
Try to DEFINE what you FORMALLY mean by semantics.
A system such all semantic meaning of the formal
system is directly encoded in the syntax of the
formal language of the formal system making
reCx ree L (Provable(L,x) rei True(L,x))
Note, this doesn't DEFINE semantics, but gives a result of it.
And you don't understand that such a system CAN NOT (by proof)
understand the properties of the Natural Numbers?
Sure it can.
?- G = not(provable(F, G)).
That isn't G, that is an interpretation of G, only available in a
mete- theory.
All you are doing is showing your stupidity.
G = not(provable(F, G)).
?- unify_with_occurs_check(G, not(provable(F, G))).
false.
Which just shows that Prolog can't handle your meaning.
All LLM systems totally understand exactly what
that means.
No, they can spit out words that make stupid you think they do.
For your requirement, ALL truths must derive from only a finite
length sequence of operations, and thus is naturally limited in its >>>>> power.
Limited to the entire body of general knowledge
+ any specific situation knowledge provided to them.
But still limited. And that isn't even a real system.
After all, General Knowledge is an inconsistent set of information
You just can't comprehend that knowledge is
structured in an acyclic directed graph.
Nope, it is cyclic,
as our base facts of knowledge are interrelated. The
is on one root fact.
It can not handle most systems with a countably infinite domain of
regard, so not Natural Numbers, not Finite Strings, not Turing
Complete Systems.
It can handle them at least to the same extent
as humans minds. Algorithmic compression.
NOPE, As if it could handle Natural Numbers, then we could create the
G for the system, and it couldn't prove it.
It is merely that diagonalization hides the semantic
incoherence that reject's G.
Nope. It seems you don't understand that G is just a statement that no number statisfies a specific (complicated) Primitive Recursive
Relationship. A Relationship that can ALWAYS, for ANY number, be
evaluated in finite time.
There is no "diagonalization" in G. You are confusing different proof.
The question of G is a pure mathematical question, either a number does
or does not satisfy it.
In other words, your "logic" says some questions with factual answers
are just wrong.
In other words, your logic is proven to be self-inconsistant, as
statements provably true are considered to be illogical.
On 12/27/2025 4:38 PM, Richard Damon wrote:
On 12/27/25 5:16 PM, olcott wrote:
On 12/27/2025 4:07 PM, Richard Damon wrote:
On 12/27/25 4:50 PM, olcott wrote:
On 12/27/2025 3:14 PM, Richard Damon wrote:
On 12/27/25 4:04 PM, olcott wrote:
On 12/27/2025 2:51 PM, Richard Damon wrote:
On 12/27/25 3:13 PM, olcott wrote:
On 12/27/2025 2:00 PM, Richard Damon wrote:
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 12/27/25 12:11 PM, olcott wrote:But you seem to confuse Deciders with the Function they >>>>>>>>>>>>>>>> are trying to compute.
On 12/27/2025 11:06 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 12/27/25 11:49 AM, olcott wrote:
On 12/25/2025 5:39 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>
https://chatgpt.com/share/694dcae3-a210-8011-b12f- >>>>>>>>>>>>>>>>>>>>>> a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite >>>>>>>>>>>>>>>>>>>> strings" it isn't outside the scope of computing for >>>>>>>>>>>>>>>>>>>> that reason.
Halting *IS* a "Pure Function of finite string INPUTS. >>>>>>>>>>>>>>>>>>> It was never a function of finite string NON-INPUTS. >>>>>>>>>>>>>>>>>>> No one has bothered to notice that for 90 years. >>>>>>>>>>>>>>>>>>>
Right.
The Halting function is defined for a string based on >>>>>>>>>>>>>>>>>> the representation rules the decider defines, and the >>>>>>>>>>>>>>>>>> steps of the program so represented when run. >>>>>>>>>>>>>>>>>>
Insufficiently precise.
[Deciders only] compute the mapping from an
actual input finite string to the actual behavior >>>>>>>>>>>>>>>>> that this actual input finite string actually specifies. >>>>>>>>>>>>>>>>
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, >>>>>>>>>>>>>> and falso otherwise, whether it is FALSE or a non-truth- >>>>>>>>>>>>>> bearer.
That would seem to make Tarski wrong before he even got >>>>>>>>>>>>> started.
Why do you say that?
Your problem is you don't know what you are talking about. >>>>>>>>>>>>
Your don't know what Truth means, particuarly within a >>>>>>>>>>>> Formal System, because you don't understand what that is. >>>>>>>>>>>>
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax
with no reference to any aspect of model theory is needed?
Sure, after all, its "semantics" are DEFINED by the logic rules >>>>>>>> it defines, which are syntactic.
Many formal system might just define that they use one of the >>>>>>>> standard logic formulations that Model Theory describe, because >>>>>>>> why should the just repeat all the basic definitions.
Why do you want to avoid references to more basic systems that >>>>>>>> they build on?
Would you expect every system that uses numbers to begin with >>>>>>>> ZFC and re-derive all the number systems they use?
Maybe you should try your own medicine, define YOUR logic system >>>>>>>> TOTALLY from the fundamental definitions, and not use any
existing logical terms, like semantic entailment, but actually >>>>>>>> DEFINE what you mean by that.
Try to DEFINE what you FORMALLY mean by semantics.
A system such all semantic meaning of the formal
system is directly encoded in the syntax of the
formal language of the formal system making
reCx ree L (Provable(L,x) rei True(L,x))
Note, this doesn't DEFINE semantics, but gives a result of it.
And you don't understand that such a system CAN NOT (by proof)
understand the properties of the Natural Numbers?
Sure it can.
?- G = not(provable(F, G)).
That isn't G, that is an interpretation of G, only available in a
mete- theory.
All you are doing is showing your stupidity.
G = not(provable(F, G)).
?- unify_with_occurs_check(G, not(provable(F, G))).
false.
Which just shows that Prolog can't handle your meaning.
All LLM systems totally understand exactly what
that means.
No, they can spit out words that make stupid you think they do.
For your requirement, ALL truths must derive from only a finite
length sequence of operations, and thus is naturally limited in
its power.
Limited to the entire body of general knowledge
+ any specific situation knowledge provided to them.
But still limited. And that isn't even a real system.
After all, General Knowledge is an inconsistent set of information
You just can't comprehend that knowledge is
structured in an acyclic directed graph.
Nope, it is cyclic,
Show a concrete example of knowledge itself being cyclic.
-aas our base facts of knowledge are interrelated. The is on one root
fact.
You have a type that makes your sentence gibberish.
It can not handle most systems with a countably infinite domain of >>>>>> regard, so not Natural Numbers, not Finite Strings, not Turing
Complete Systems.
It can handle them at least to the same extent
as humans minds. Algorithmic compression.
NOPE, As if it could handle Natural Numbers, then we could create
the G for the system, and it couldn't prove it.
It is merely that diagonalization hides the semantic
incoherence that reject's G.
Nope. It seems you don't understand that G is just a statement that no
number statisfies a specific (complicated) Primitive Recursive
Relationship. A Relationship that can ALWAYS, for ANY number, be
evaluated in finite time.
"that no number satisfies a specific (complicated) Primitive
Recursive Relationship" How is this shown?
There is no "diagonalization" in G. You are confusing different proof.
The question of G is a pure mathematical question, either a number
does or does not satisfy it.
In other words, your "logic" says some questions with factual answers
are just wrong.
In other words, your logic is proven to be self-inconsistant, as
statements provably true are considered to be illogical.
You know that the Liar Paradox: "This sentence is not true"
is not a truth bearer. None-the-less when we add one level
of indirect reference
This sentence is not true: "This sentence is not true"
it becomes true.
On 12/27/25 5:45 PM, olcott wrote:
On 12/27/2025 4:38 PM, Richard Damon wrote:
On 12/27/25 5:16 PM, olcott wrote:
On 12/27/2025 4:07 PM, Richard Damon wrote:
On 12/27/25 4:50 PM, olcott wrote:
On 12/27/2025 3:14 PM, Richard Damon wrote:
On 12/27/25 4:04 PM, olcott wrote:
On 12/27/2025 2:51 PM, Richard Damon wrote:
On 12/27/25 3:13 PM, olcott wrote:
On 12/27/2025 2:00 PM, Richard Damon wrote:
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote:
On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>> On 12/27/25 12:11 PM, olcott wrote:But you seem to confuse Deciders with the Function they >>>>>>>>>>>>>>>>> are trying to compute.
On 12/27/2025 11:06 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>> On 12/27/25 11:49 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>> On 12/25/2025 5:39 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>
https://chatgpt.com/share/694dcae3-a210-8011- >>>>>>>>>>>>>>>>>>>>>>> b12f- a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite >>>>>>>>>>>>>>>>>>>>> strings" it isn't outside the scope of computing >>>>>>>>>>>>>>>>>>>>> for that reason.
Halting *IS* a "Pure Function of finite string INPUTS. >>>>>>>>>>>>>>>>>>>> It was never a function of finite string NON-INPUTS. >>>>>>>>>>>>>>>>>>>> No one has bothered to notice that for 90 years. >>>>>>>>>>>>>>>>>>>>
Right.
The Halting function is defined for a string based on >>>>>>>>>>>>>>>>>>> the representation rules the decider defines, and the >>>>>>>>>>>>>>>>>>> steps of the program so represented when run. >>>>>>>>>>>>>>>>>>>
Insufficiently precise.
[Deciders only] compute the mapping from an >>>>>>>>>>>>>>>>>> actual input finite string to the actual behavior >>>>>>>>>>>>>>>>>> that this actual input finite string actually specifies. >>>>>>>>>>>>>>>>>
A Truth predicate returns TRUE when an input
finite string is TRUE and FALSE when an input
finite string is FALSE.
No, it returns TRUE when the input finite string is TRUE, >>>>>>>>>>>>>>> and falso otherwise, whether it is FALSE or a non-truth- >>>>>>>>>>>>>>> bearer.
That would seem to make Tarski wrong before he even got >>>>>>>>>>>>>> started.
Why do you say that?
Your problem is you don't know what you are talking about. >>>>>>>>>>>>>
Your don't know what Truth means, particuarly within a >>>>>>>>>>>>> Formal System, because you don't understand what that is. >>>>>>>>>>>>>
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English".
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax
with no reference to any aspect of model theory is needed?
Sure, after all, its "semantics" are DEFINED by the logic rules >>>>>>>>> it defines, which are syntactic.
Many formal system might just define that they use one of the >>>>>>>>> standard logic formulations that Model Theory describe, because >>>>>>>>> why should the just repeat all the basic definitions.
Why do you want to avoid references to more basic systems that >>>>>>>>> they build on?
Would you expect every system that uses numbers to begin with >>>>>>>>> ZFC and re-derive all the number systems they use?
Maybe you should try your own medicine, define YOUR logic
system TOTALLY from the fundamental definitions, and not use >>>>>>>>> any existing logical terms, like semantic entailment, but
actually DEFINE what you mean by that.
Try to DEFINE what you FORMALLY mean by semantics.
A system such all semantic meaning of the formal
system is directly encoded in the syntax of the
formal language of the formal system making
reCx ree L (Provable(L,x) rei True(L,x))
Note, this doesn't DEFINE semantics, but gives a result of it.
And you don't understand that such a system CAN NOT (by proof)
understand the properties of the Natural Numbers?
Sure it can.
?- G = not(provable(F, G)).
That isn't G, that is an interpretation of G, only available in a
mete- theory.
All you are doing is showing your stupidity.
G = not(provable(F, G)).
?- unify_with_occurs_check(G, not(provable(F, G))).
false.
Which just shows that Prolog can't handle your meaning.
All LLM systems totally understand exactly what
that means.
No, they can spit out words that make stupid you think they do.
For your requirement, ALL truths must derive from only a finite >>>>>>> length sequence of operations, and thus is naturally limited in >>>>>>> its power.
Limited to the entire body of general knowledge
+ any specific situation knowledge provided to them.
But still limited. And that isn't even a real system.
After all, General Knowledge is an inconsistent set of information
You just can't comprehend that knowledge is
structured in an acyclic directed graph.
Nope, it is cyclic,
Show a concrete example of knowledge itself being cyclic.
Try to define ANY word, and the words used to define it, and so one till
you get to a word that just is without a defintion.
You will always eventually cycle back to a word you have already used.
-aas our base facts of knowledge are interrelated. The is on one root
fact.
You have a type that makes your sentence gibberish.
Yes, I have a typ*o*, as did you
There is no one root fact in our knowledge.
If every fact has other
facts that it is based on, there is no root fact, and the system, since
it is finite, is cyclical.
It can not handle most systems with a countably infinite domain >>>>>>> of regard, so not Natural Numbers, not Finite Strings, not Turing >>>>>>> Complete Systems.
It can handle them at least to the same extent
as humans minds. Algorithmic compression.
NOPE, As if it could handle Natural Numbers, then we could create
the G for the system, and it couldn't prove it.
It is merely that diagonalization hides the semantic
incoherence that reject's G.
Nope. It seems you don't understand that G is just a statement that
no number statisfies a specific (complicated) Primitive Recursive
Relationship. A Relationship that can ALWAYS, for ANY number, be
evaluated in finite time.
"that no number satisfies a specific (complicated) Primitive
Recursive Relationship" How is this shown?
In the meta-theory that undrstands the added meaning to the numbers.
In the base theory, the numbers do not have that meaning, but, since
this meta-theory developes a method to express as a single number ANY statement/collection of statements that can be expressed in the theory,
and, because of the structure of these numbers, can check if a given the given statement is a proof for another statement. And the PRR is an embodeyment of such an algorithm to check if a statement is a proof of
the statement G.
THus *ANY* proof of G, will create a number which will satisfy that PRR, thus making G false.
Since it is impossible for there to be a correct proof of a false
statement, there can not be a number that satisfies the PRR of G, as
that would lead to the contradiction.
This means that no number can staisfy that PRR, and thus G must be true.
This proof can only be done in the meta-system that has the knowledge of
the meaning of all the numbers, and there are an infinite number of
possible systems assigning meaning, so we can't just search them all.
The key is that the meta-system was specifically constructed so that statements, like that G, and its PRR, that do not reference the
additional "facts" the create the meaning, will have the same truth
values in the two systems.
Thus, since G and the PRR meet that requirement, our knowledge in the Meta-System transfers to the base system, but the proof, that uses that knowledge does not.
There is no "diagonalization" in G. You are confusing different proof.
The question of G is a pure mathematical question, either a number
does or does not satisfy it.
In other words, your "logic" says some questions with factual answers
are just wrong.
In other words, your logic is proven to be self-inconsistant, as
statements provably true are considered to be illogical.
You know that the Liar Paradox: "This sentence is not true"
is not a truth bearer. None-the-less when we add one level
of indirect reference
This sentence is not true: "This sentence is not true"
it becomes true.
Yes. So?
The statement G has a truth value, because no number does satisfy the
PRR, and thus it is true.
It can not be proven in the base system, as the only verification would require testing EVERY finite value, of which there are an infinite
number of them, so it doesn't form a proof, but does establish its truth.
This is not true of the Liar's paradox. It just can not have a truth value.
This comes from the fundamental difference between the statements of "I--
am not True" and "I am not Provable".
The first can not have a truth value, as either value creates a contradiction.
This is not true of the second. It can not be false, as if it is false,
then it is provable, so it must be true (as we can only prove true statements in a non-contradictory system),
It CAN be True, as there is no actual requirement of True statments
being provable, as Truth can come out of an infinite number of steps of implication.
It also can be a non-truth-bearer if there isn't anything that makes it true.
The key to the proof is that the statement isn't just a statement of
that form, but a statement that must have a truth value as it is a
statement is about something which follows the law of the excluded
middle, that only derives that meaning when we add additional
information from the meta-system.
On 12/27/2025 5:16 PM, Richard Damon wrote:
On 12/27/25 5:45 PM, olcott wrote:
On 12/27/2025 4:38 PM, Richard Damon wrote:
On 12/27/25 5:16 PM, olcott wrote:
On 12/27/2025 4:07 PM, Richard Damon wrote:
On 12/27/25 4:50 PM, olcott wrote:
On 12/27/2025 3:14 PM, Richard Damon wrote:
On 12/27/25 4:04 PM, olcott wrote:
On 12/27/2025 2:51 PM, Richard Damon wrote:
On 12/27/25 3:13 PM, olcott wrote:
On 12/27/2025 2:00 PM, Richard Damon wrote:Sure, after all, its "semantics" are DEFINED by the logic >>>>>>>>>> rules it defines, which are syntactic.
On 12/27/25 2:26 PM, olcott wrote:
On 12/27/2025 1:11 PM, Richard Damon wrote:
On 12/27/25 2:04 PM, olcott wrote:
On 12/27/2025 12:50 PM, Richard Damon wrote:
On 12/27/25 1:39 PM, olcott wrote:
On 12/27/2025 12:27 PM, Richard Damon wrote: >>>>>>>>>>>>>>>>>> On 12/27/25 1:19 PM, olcott wrote:
On 12/27/2025 11:23 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>> On 12/27/25 12:11 PM, olcott wrote:But you seem to confuse Deciders with the Function >>>>>>>>>>>>>>>>>> they are trying to compute.
On 12/27/2025 11:06 AM, Richard Damon wrote: >>>>>>>>>>>>>>>>>>>>>> On 12/27/25 11:49 AM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>> On 12/25/2025 5:39 PM, olcott wrote: >>>>>>>>>>>>>>>>>>>>>>>>
https://chatgpt.com/share/694dcae3-a210-8011- >>>>>>>>>>>>>>>>>>>>>>>> b12f- a74007045a4a
*Now as a five page PDF file*
https://www.researchgate.net/
publication/399111881_Computation_and_Undecidability >>>>>>>>>>>>>>>>>>>>>>>
But since Halting *IS* a "Pure Function of finite >>>>>>>>>>>>>>>>>>>>>> strings" it isn't outside the scope of computing >>>>>>>>>>>>>>>>>>>>>> for that reason.
Halting *IS* a "Pure Function of finite string INPUTS. >>>>>>>>>>>>>>>>>>>>> It was never a function of finite string NON-INPUTS. >>>>>>>>>>>>>>>>>>>>> No one has bothered to notice that for 90 years. >>>>>>>>>>>>>>>>>>>>>
Right.
The Halting function is defined for a string based >>>>>>>>>>>>>>>>>>>> on the representation rules the decider defines, and >>>>>>>>>>>>>>>>>>>> the steps of the program so represented when run. >>>>>>>>>>>>>>>>>>>>
Insufficiently precise.
[Deciders only] compute the mapping from an >>>>>>>>>>>>>>>>>>> actual input finite string to the actual behavior >>>>>>>>>>>>>>>>>>> that this actual input finite string actually specifies. >>>>>>>>>>>>>>>>>>
A Truth predicate returns TRUE when an input >>>>>>>>>>>>>>>>> finite string is TRUE and FALSE when an input >>>>>>>>>>>>>>>>> finite string is FALSE.
No, it returns TRUE when the input finite string is >>>>>>>>>>>>>>>> TRUE, and falso otherwise, whether it is FALSE or a non- >>>>>>>>>>>>>>>> truth- bearer.
That would seem to make Tarski wrong before he even got >>>>>>>>>>>>>>> started.
Why do you say that?
Your problem is you don't know what you are talking about. >>>>>>>>>>>>>>
Your don't know what Truth means, particuarly within a >>>>>>>>>>>>>> Formal System, because you don't understand what that is. >>>>>>>>>>>>>>
The issue is that formal systems do not know:
"true on the basis of meaning expressed in language"
Sure they do, it is just the language isn't "English". >>>>>>>>>>>>
So you know of a formal system that has every single
detail of its full semantics fully encoded in its syntax >>>>>>>>>>> with no reference to any aspect of model theory is needed? >>>>>>>>>>
Many formal system might just define that they use one of the >>>>>>>>>> standard logic formulations that Model Theory describe,
because why should the just repeat all the basic definitions. >>>>>>>>>>
Why do you want to avoid references to more basic systems that >>>>>>>>>> they build on?
Would you expect every system that uses numbers to begin with >>>>>>>>>> ZFC and re-derive all the number systems they use?
Maybe you should try your own medicine, define YOUR logic >>>>>>>>>> system TOTALLY from the fundamental definitions, and not use >>>>>>>>>> any existing logical terms, like semantic entailment, but >>>>>>>>>> actually DEFINE what you mean by that.
Try to DEFINE what you FORMALLY mean by semantics.
A system such all semantic meaning of the formal
system is directly encoded in the syntax of the
formal language of the formal system making
reCx ree L (Provable(L,x) rei True(L,x))
Note, this doesn't DEFINE semantics, but gives a result of it. >>>>>>>>
And you don't understand that such a system CAN NOT (by proof) >>>>>>>> understand the properties of the Natural Numbers?
Sure it can.
?- G = not(provable(F, G)).
That isn't G, that is an interpretation of G, only available in a >>>>>> mete- theory.
All you are doing is showing your stupidity.
G = not(provable(F, G)).
?- unify_with_occurs_check(G, not(provable(F, G))).
false.
Which just shows that Prolog can't handle your meaning.
All LLM systems totally understand exactly what
that means.
No, they can spit out words that make stupid you think they do.
For your requirement, ALL truths must derive from only a finite >>>>>>>> length sequence of operations, and thus is naturally limited in >>>>>>>> its power.
Limited to the entire body of general knowledge
+ any specific situation knowledge provided to them.
But still limited. And that isn't even a real system.
After all, General Knowledge is an inconsistent set of information >>>>>>
You just can't comprehend that knowledge is
structured in an acyclic directed graph.
Nope, it is cyclic,
Show a concrete example of knowledge itself being cyclic.
Try to define ANY word, and the words used to define it, and so one
till you get to a word that just is without a defintion.
You will always eventually cycle back to a word you have already used.
A concrete example is a specific word that does this.
-aas our base facts of knowledge are interrelated. The is on one root >>>> fact.
You have a type that makes your sentence gibberish.
Yes, I have a typ*o*, as did you
There is no one root fact in our knowledge.
{Thing} is the root of the knowledge ontology.
If every fact has other facts that it is based on, there is no root
fact, and the system, since it is finite, is cyclical.
It can not handle most systems with a countably infinite domain >>>>>>>> of regard, so not Natural Numbers, not Finite Strings, not
Turing Complete Systems.
It can handle them at least to the same extent
as humans minds. Algorithmic compression.
NOPE, As if it could handle Natural Numbers, then we could create >>>>>> the G for the system, and it couldn't prove it.
It is merely that diagonalization hides the semantic
incoherence that reject's G.
Nope. It seems you don't understand that G is just a statement that
no number statisfies a specific (complicated) Primitive Recursive
Relationship. A Relationship that can ALWAYS, for ANY number, be
evaluated in finite time.
"that no number satisfies a specific (complicated) Primitive
Recursive Relationship" How is this shown?
In the meta-theory that undrstands the added meaning to the numbers.
Is a separate thing thus not:
A system such all semantic meaning of the formal
system is directly encoded in the syntax of the
formal language of the formal system making
reCx ree L (Provable(L,x) rei True(L,x))
In the base theory, the numbers do not have that meaning, but, since
this meta-theory developes a method to express as a single number ANY
statement/collection of statements that can be expressed in the
theory, and, because of the structure of these numbers, can check if a
given the given statement is a proof for another statement. And the
PRR is an embodeyment of such an algorithm to check if a statement is
a proof of the statement G.
You merely ignored my specified requirements. (see above).
It is possible to defined f-cked up systems that are incomplete
That is not the same thing as all systems are necessarily incomplete.
THus *ANY* proof of G, will create a number which will satisfy that
PRR, thus making G false.
Since it is impossible for there to be a correct proof of a false
statement, there can not be a number that satisfies the PRR of G, as
that would lead to the contradiction.
This means that no number can staisfy that PRR, and thus G must be true.
This proof can only be done in the meta-system that has the knowledge
of the meaning of all the numbers, and there are an infinite number of
possible systems assigning meaning, so we can't just search them all.
The key is that the meta-system was specifically constructed so that
statements, like that G, and its PRR, that do not reference the
additional "facts" the create the meaning, will have the same truth
values in the two systems.
Thus, since G and the PRR meet that requirement, our knowledge in the
Meta-System transfers to the base system, but the proof, that uses
that knowledge does not.
There is no "diagonalization" in G. You are confusing different proof. >>>>
The question of G is a pure mathematical question, either a number
does or does not satisfy it.
In other words, your "logic" says some questions with factual
answers are just wrong.
In other words, your logic is proven to be self-inconsistant, as
statements provably true are considered to be illogical.
You know that the Liar Paradox: "This sentence is not true"
is not a truth bearer. None-the-less when we add one level
of indirect reference
This sentence is not true: "This sentence is not true"
it becomes true.
Yes. So?
The statement G has a truth value, because no number does satisfy the
PRR, and thus it is true.
It can not be proven in the base system, as the only verification
would require testing EVERY finite value, of which there are an
infinite number of them, so it doesn't form a proof, but does
establish its truth.
This is not true of the Liar's paradox. It just can not have a truth
value.
It does not have a truth value in the theory:
"This sentence is not true"
because of pathological self-reference
It does have a truth value in the meta-theory:
This sentence is not true: "This sentence is not true"
because of pathological self-reference has been eliminated.
This comes from the fundamental difference between the statements of
"I am not True" and "I am not Provable".
The first can not have a truth value, as either value creates a
contradiction.
This is not true of the second. It can not be false, as if it is
false, then it is provable, so it must be true (as we can only prove
true statements in a non-contradictory system),
It CAN be True, as there is no actual requirement of True statments
being provable, as Truth can come out of an infinite number of steps
of implication.
It also can be a non-truth-bearer if there isn't anything that makes
it true.
The key to the proof is that the statement isn't just a statement of
that form, but a statement that must have a truth value as it is a
statement is about something which follows the law of the excluded
middle, that only derives that meaning when we add additional
information from the meta-system.
On 12/27/25 5:45 PM, olcott wrote:
On 12/27/2025 4:38 PM, Richard Damon wrote:
On 12/27/25 5:16 PM, olcott wrote:>>>>
You just can't comprehend that knowledge is
structured in an acyclic directed graph.
Nope, it is cyclic,
Show a concrete example of knowledge itself being cyclic.
Try to define ANY word, and the words used to define it, and so one till
you get to a word that just is without a defintion.
You will always eventually cycle back to a word you have already used.
On 12/27/25 5:45 PM, olcott wrote:>>
You have a type that makes your sentence gibberish.
Yes, I have a typ*o*, as did you
There is no one root fact in our knowledge. If every fact has other
facts that it is based on, there is no root fact, and the system, since
it is finite, is cyclical.
On 12/27/2025 5:16 PM, Richard Damon wrote:
On 12/27/25 5:45 PM, olcott wrote:
On 12/27/2025 4:38 PM, Richard Damon wrote:
On 12/27/25 5:16 PM, olcott wrote:>>>>
You just can't comprehend that knowledge is
structured in an acyclic directed graph.
Nope, it is cyclic,
Show a concrete example of knowledge itself being cyclic.
Try to define ANY word, and the words used to define it, and so one
till you get to a word that just is without a defintion.
You will always eventually cycle back to a word you have already used.
Give me an actual word that does this.
On 12/27/2025 5:16 PM, Richard Damon wrote:
On 12/27/25 5:45 PM, olcott wrote:>>
You have a type that makes your sentence gibberish.
Yes, I have a typ*o*, as did you
There is no one root fact in our knowledge. If every fact has other
facts that it is based on, there is no root fact, and the system,
since it is finite, is cyclical.
The root of the
type hierarchy / knowledge ontology is: {Thing}
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