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On 2/9/25 5:33 AM, Mikko wrote:That would be OK if he wouldn't try to solve problems that cannot evenOf course, completness can be achieved if language is sufficientlyWHich, it seems, are the only type of logic system that Peter can understand.
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.
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.
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