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Results tagged with mathematics
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user 98
Use this tag for questions a mathematician would feel at home answering and can be traced back to an area of mathematics.
6
votes
To what extent is formalized mathematics publishable?
If the mathematics is new, then of course it can be published anywhere that that mathematics could be published, with the formalization as a bonus. …
- 3,270
5
votes
Why are impredicative constructions used less in type theory than in material set theory?
This is not directly an answer to the question, but since two other answers have claimed that impredicative encodings can't satisfy induction principles, I thought someone ought to set the record stra …
- 3,270
6
votes
Examples of new mathematics discovered through formalization?
Another reason for this is that we are still developing intuitions for HoTT/UF and deciding how to do this sort of mathematics informally. … David's comment expressed some doubt about whether this counts as "new mathematics". I think that it inarguably does. …
11
votes
What set-theoretic definitions can't easily be formalized in a type theory?
Andrej's answer that "Almost no pen-and-paper mathematics is written in ZFC" is correct. … But it's perhaps also worth noting that some pen-and-paper mathematics is written in ZFC (or, at least, something closer to ZFC than to type theory), such as much of the mathematics done by set theorists …
- 3,270