• Re: In search for the correct interpretation of a paradox result

    From Ross Finlayson@ross.a.finlayson@gmail.com to sci.logic on Mon Sep 28 11:31:12 2026
    From Newsgroup: sci.logic

    On 06/07/2015 10:37 AM, Virgil wrote:
    In article <1097ef32-62aa-40c5-ad83-6f674814e714@googlegroups.com>,
    WM <mueckenh@rz.fh-augsburg.de> wrote:

    On Sunday, 7 June 2015 17:54:35 UTC+2, Virgil wrote:


    What is incorrect?

    I see no proper connection made between
    LimSup (M_n) = /\(n = 1 ... oo)[V(k = n ... oo) M_k]
    LimInf (M_n) = V(n = 1 ... oo)[/\(k = n ... oo) M_k]
    and
    Lim{n--> oo} S_n = {s_k | k in |N}}

    Then consult better set theorists than you are.

    When I have direct evidence that |N can be surjected to Q+,
    namely a set of uncountably many functions each of which surjects |N
    onto Q, I do not need help to know that any arguments that no such
    functions can exist are wrong!


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  • From Ross Finlayson@ross.a.finlayson@gmail.com to sci.logic on Tue Sep 29 09:42:38 2026
    From Newsgroup: sci.logic

    On 09/28/2026 11:31 AM, Ross Finlayson wrote:
    On 06/07/2015 10:37 AM, Virgil wrote:
    In article <1097ef32-62aa-40c5-ad83-6f674814e714@googlegroups.com>,
    WM <mueckenh@rz.fh-augsburg.de> wrote:

    On Sunday, 7 June 2015 17:54:35 UTC+2, Virgil wrote:


    What is incorrect?

    I see no proper connection made between
    LimSup (M_n) = /\(n = 1 ... oo)[V(k = n ... oo) M_k]
    LimInf (M_n) = V(n = 1 ... oo)[/\(k = n ... oo) M_k]
    and
    Lim{n--> oo} S_n = {s_k | k in |N}}

    Then consult better set theorists than you are.

    When I have direct evidence that |N can be surjected to Q+,
    namely a set of uncountably many functions each of which surjects |N
    onto Q, I do not need help to know that any arguments that no such
    functions can exist are wrong!




    The "invincible ignorance of inductive inference" is also given
    to simple accounts the other way, explaining why the results
    where deduction is required to be invoked defining super-classical
    results, have otherwise these cave-men howling at each other from
    their respective caves are both due their troglodicity the sun-shine.


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