Slim Fermats Last Theorem (FLT) only for Lean4? (Was: What are top ten books in set theory?)

From	Mild Shock <janburse@fastmail.fm>
Newsgroups	comp.theory, comp.ai.philosophy, comp.lang.prolog
Subject	Slim Fermats Last Theorem (FLT) only for Lean4? (Was: What are top ten books in set theory?)
Date	2025-11-19 11:14 +0100
Message-ID	<10fk5ao$aote$1@solani.org> (permalink)
References	(6 earlier) <10fiqd0$1rv37$1@dont-email.me> <10fir5a$83mj$2@solani.org> <10fites$1spea$1@dont-email.me> <10fk0d1$algj$1@solani.org> <10fk1te$amn7$2@solani.org>

Cross-posted to 3 groups.

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Hi,

Is there a Slim Fermats Last Theorem (FLT) but
only for Lean4? There is a new proof:

We formalize a complete proof of the regular
case of Fermat's Last Theorem in the Lean4
theorem prover. Our formalization includes a
proof of Kummer's lemma, that is the main
obstruction to Fermat's Last Theorem for
regular primes. Rather than following the
modern proof of Kummer's lemma via class
field theory, we prove it by using Hilbert's
Theorems 90-94 in a way that is more
amenable to formalization.
https://arxiv.org/abs/2410.01466v3

Is this also available for Rocq or Isabelle/HOL.
In as far I feel with ChatGPTs invention of
a set theory book:

 > ai: The Incomparable Axioms — Koellner
(more philosophical, modern)

If we have to axiom systems A and B, it is
often easy to invoke proof theory and then
show A ⊆ B or B ⊆ A. Trouble might start if
we want to show A ⊈ B and B ⊈ A,

this traditional fell into the category of
model theory, but modern proof assistants might
be better off maybe. Such a proof could be
a pebble game, as in EF games,

or even some things that go beyond EF games.
Now for the question whether Rocq or Isabelle/HOL
has also a proof, the comparability of Axioms
is somehow aggravated, when different proof

systems have different foundations. What
we then need to compare is F+A with G+B,
where F and G are the varying foundations.
Who said that logic is easy and beautiful?

Bye

Mild Shock schrieb:
> Hi,
> 
> How it started, DeepSeek:
> 
> me: What are top ten books in set theory?
> ai: bla bla
> ai: Classic Set Theory: For Guided Independent Study by Derek C. Goldrei
> 
> How its going, ChatGPT:
> 
> me: What are top ten books in set theory?
> ai: bla bla
> ai: The Incomparable Axioms — Koellner (more philosophical, modern)
> 
> me: Nice try, I don't find "The Incomparable Axioms —
> Koellner", you halucinated that
> 
> ai: You’re right — I made a mistake. I hallucinated a
> book title. Sorry about that.
> 
> ai: Peter Koellner has written influential papers and
> a thesis/lecture notes, but there is no book titled
> The Incomparable Axioms by Koellner that I can find.
> 
> The Search for New Axioms
> https://dspace.mit.edu/bitstream/handle/1721.1/7989/53014647-MIT.pdf
> 
> LoL
> 
> Bye
> 
> Mild Shock schrieb:
>> Hi,
>>
>> Wikipedia only exists since 2001. How did people
>> learn Logic before the new millenium? Seems you
>> have been alive before 2001 already,
>>
>> when you are a software engineer since 1984. No
>> logic for Acyclic Ozelot before 2001. Did really
>> only bring Wikipedia, a secondary reference,
>>
>> logic to you. No primary sources of logic?
>>
>> Bye
>>
>> olcott schrieb:
>>>
>>> I Learned FOL from Wikipedia. 
>>  > I have been a software engineer since 1984.
>

Thread

Re: How teach logic? [The Jokes] (Re: People that have a very shallow understanding of these things) olcott <polcott333@gmail.com> - 2025-11-18 16:02 -0600
  Enjoying some logic under a shadowy tree? (Was: How teach logic? [The Jokes]) Mild Shock <janburse@fastmail.fm> - 2025-11-18 23:15 +0100
    Re: Enjoying some logic under a shadowy tree? (Was: How teach logic? [The Jokes]) olcott <polcott333@gmail.com> - 2025-11-18 16:54 -0600
      What did you do before 2001 ? (Was: Enjoying some logic under a shadowy tree?) Mild Shock <janburse@fastmail.fm> - 2025-11-19 09:50 +0100
        What are top ten books in set theory? (Re: What did you do before 2001 ?) Mild Shock <janburse@fastmail.fm> - 2025-11-19 10:16 +0100
          Slim Fermats Last Theorem (FLT) only for Lean4? (Was: What are top ten books in set theory?) Mild Shock <janburse@fastmail.fm> - 2025-11-19 11:14 +0100
  Re: How teach logic? [The Jokes] (Re: People that have a very shallow understanding of these things) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-18 15:15 -0800

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