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Results tagged with foundations
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user 497904
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
How much of the axiom of choice do you need in mathematics?
Each of the following is, at the very least, convenient for usual mathematics, but probably to a large extent unnecessary.
Countable/dependent choice. With them analysis and measure theory can be dev …
- 877
6
votes
Who needs Replacement anyway?
Isn't replacement needed or at least the most natural way to construct projective/injective resolutions? Say we want a free resolution of $M$. Consider the free module $F_1$ with $M$ as the set of gen …
- 877