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Results tagged with metamathematics
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user 11751
the mathematical discipline that applies mathematical methods to the study of mathematical theories themselves.
5
votes
Proofs of Gödel's theorem
This is a comment on a post by Andreas Blass here.
I have not read Kripke's statement, apart from Andreas's sketch above, but it sounds familiar from elsewhere, so let me comment a bit on the family …
- 443
3
votes
Proofs of Gödel's theorem
Dear Sergei and John. There is just too much to say. If I give you 3 pointers - it will not mean that these are good starting points or that these are the most important developments.
The Jones polyn …
- 443
20
votes
Accepted
Proofs of Gödel's theorem
Apart from usual proofs with diagonalization, have a look at model-theoretic proofs (Kotlarski's proof, Kreisel's left-branch proof, etc..), then there are some other proofs that formalize paradoxes ( …
- 443
0
votes
Formal proof of Con(ZFC) => Con(ZFC + not CH) in ZFC
I guess you can do it even lower: in ISigma_1 (with lots of coding), or its comfortable second-order version WKL_0 (which will take care of any compactness).
I don't see why much stronger compactness …
- 443