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Results tagged with metamathematics
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user 1233
the mathematical discipline that applies mathematical methods to the study of mathematical theories themselves.
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Intuitive and/or philosophical explanation for set theory paradoxes
George Boolos has a number of very readable (to the non-expert like me) essays on this subject. Try "The Iterative Conception of Set" in Logic, Logic and Logic. He tries to find a way to look at the a …
- 8,271
15
votes
Can infinity shorten proofs a lot?
Nachum Dershowitz has lots of work on termination proofs and many of these make use of ordinal arithmetic. In particular, if you have a computer program that moves from one state to another, and you c …
- 8,271