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Results tagged with foundations
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user 10384
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.
10
votes
Ultrainfinitism, or a step beyond the transfinite
Perhaps you could take a look at William Reinhardt's paper 'Remarks on reflection principles, large cardinals, and elementary embeddings' (1974). Reinhardt suggests extending the set-theoretic univers …
- 1,094
5
votes
Is a paraconsistent and provably non-trivial foundation for math possible?
Zach Weber has been working on developing a paraconsistent set theory that can serve as a foundation for mathematics.
- 1,094