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Results tagged with metamathematics
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user 9896
the mathematical discipline that applies mathematical methods to the study of mathematical theories themselves.
5
votes
Are there examples of nonconstructive metaproofs?
If the proof system is recursively axiomatizable, this situation cannot occur.
If there exists a proof of $\Theta$, there exists an algorithm to find that proof. Namely, search the recursively enumer …
- 3,475
2
votes
Accepted
Godel 's Ladder: Undecidable PI_N sentences for N =2, 3, ......
The halting set relative to an oracle deciding $\Pi_{n-1}$ sentences, provides such a sentence. This set is $m$-complete for $\Pi_n$.
- 3,475