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the mathematical discipline that applies mathematical methods to the study of mathematical theories themselves.

3 votes

Rationale behind an requirement on Turing machines

It is important to realize that a Turing machine---and even more so, a specific implementation of a Turing machine---is just one of many models of computation. The earliest models of computation, for …
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10 votes

Proofs of Gödel's theorem

In a recent AMS notices article, Shira Kritchman and Ran Raz give a proof of Godel's Second Incompleteness Theorem based on the Surprise Examination Paradox.
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