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Results tagged with foundations
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user 144779
Mathematical logic, Set theory, Peano arithmetic, Model theory, Proof theory, Recursion theory, Computability theory, Univalent foundations, Reverse mathematics, Frege foundation of arithmetic, Goedel's incompleteness and Mathematics, Structural set theory, Category theory, Type theory.
6
votes
Negating fundamental axioms
I just wanted to point out as a comment that there is some ambiguity, already mentioned by Joel David Hamkins, about what it means to "negate fundamental axioms" (there is some further discussion here …
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29
votes
3
answers
3k
views
Are there substantive differences between the different approaches to "size issues" in categ...
In category theory, there are different ways to approach the "size issues" that crop up when we try to formalise the subject in axiomatic set theory. As far as I can tell, there are two main approache …
- 961