• Re: Formal Definition of Set

    From Ross Finlayson@ross.a.finlayson@gmail.com to sci.logic on Mon Sep 28 11:29:18 2026
    From Newsgroup: sci.logic

    On 05/29/2015 06:38 PM, Ross A. Finlayson wrote:
    Then that gives order,
    but you still have to write
    out the constructive forms
    (as I do), that the ordinal
    construction so maintained
    for cardinalities and their
    evaluations beside each
    other, that they are only
    in sets the entirety together
    of quite altogether all the
    modelled quantities. As
    still a first order set theory,
    it is all and only sets. Then
    finite combinatorics supports
    all the finite constructions,
    already, then for the set theory
    itself: to contain model theory.
    Then quite reasonable (and
    finite) subsets of all sets of
    set theory quite properly are
    totally defined even in their
    models as indeterministic,
    it is the altogether and infinite then
    where is the consequence of the
    complete construction of model
    theory. This is Goedel, that there is
    all the complete finite machinery,
    altogether incomplete without the
    infinitely completed mathematical
    machinery, yet still perfect, as
    classical. Then via deduction about
    the properties of the infinite in
    spaces of conserved quantities, as
    attenuating, then these features are
    mathematically reasonable.




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  • From Ross Finlayson@ross.a.finlayson@gmail.com to sci.logic on Tue Sep 29 09:39:32 2026
    From Newsgroup: sci.logic

    On 09/28/2026 11:29 AM, Ross Finlayson wrote:
    On 05/29/2015 06:38 PM, Ross A. Finlayson wrote:
    Then that gives order,
    but you still have to write
    out the constructive forms
    (as I do), that the ordinal
    construction so maintained
    for cardinalities and their
    evaluations beside each
    other, that they are only
    in sets the entirety together
    of quite altogether all the
    modelled quantities. As
    still a first order set theory,
    it is all and only sets. Then
    finite combinatorics supports
    all the finite constructions,
    already, then for the set theory
    itself: to contain model theory.
    Then quite reasonable (and
    finite) subsets of all sets of
    set theory quite properly are
    totally defined even in their
    models as indeterministic,
    it is the altogether and infinite then
    where is the consequence of the
    complete construction of model
    theory. This is Goedel, that there is
    all the complete finite machinery,
    altogether incomplete without the
    infinitely completed mathematical
    machinery, yet still perfect, as
    classical. Then via deduction about
    the properties of the infinite in
    spaces of conserved quantities, as
    attenuating, then these features are
    mathematically reasonable.






    The account of "total model theory" is a bit beyond
    any ordinary account, since ordinary theories don't
    have a model of the universe at all.


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