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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.
7
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Set theory and alternative foundations
I believe the lambda calculus was originally intended as a foundation for mathematics. More recently it seems that both category theory and type theory seem to be gaining support. Although, I think ty …