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For question in Proof Theory, where "proofs" themselves are the object of mathematical investigation. It is not to be used to request a proof of some result.

1 vote
1 answer
142 views

Role of statistical estimation in formal proof

Consider the following scenario: There is some mathematical constant $c$ that you want to compute. You don't have a formal proof for any particular value of $c$, but you have some sound statistical pr …
David Harris's user avatar
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4 votes
1 answer
725 views

Proof system with same complexity as "informal mathematics"?

The Completeness Theorem in first-order logic states that any mathematical validity is derivable from axioms. Hence, any informal mathematical proof (which is rigorous) can be translated into a formal …
David Harris's user avatar
  • 3,475
2 votes

Why is it OK to rely on the Fundamental Theorem of Arithmetic when using Gödel numbering?

Here is a way to think about it. When you use something like Fund Theorem of Arithmetic to prove Godel numbering, you are referring to the abstract set $\mathbf N$, which "exists". The Fundamental The …
David Harris's user avatar
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