Sujet : Re: Mathematical incompleteness has always been a misconception --- Tarski
De : mikko.levanto (at) *nospam* iki.fi (Mikko)
Groupes : sci.logicDate : 10. Feb 2025, 09:55:47
Autres entêtes
Organisation : -
Message-ID : <voceuj$14r1q$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
User-Agent : Unison/2.2
On 2025-02-09 13:10:37 +0000, Richard Damon said:
On 2/9/25 5:33 AM, Mikko wrote:
Of course, completness can be achieved if language is sufficiently
restricted so that sufficiently many arithemtic truths become inexpressible.
It is far from clear that a theory of that kind can express all arithmetic
truths that Peano arithmetic can and avoid its incompletness.
WHich, it seems, are the only type of logic system that Peter can understand.
He can only think in primitive logic systems that can't reach the complexity needed for the proofs he talks about, but can't see the problem, as he just doesn't understand the needed concepts.
That would be OK if he wouldn't try to solve problems that cannot even
exist in those systems.
-- Mikko
…