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Results tagged with foundations
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user 97501
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.
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Compactness of existential second order logic and definability of certain quantifiers
A stronger logic than ESO, namely FO(H) - first order logic with all Henkin quantifiers, does not define countability. This is so because in empty vocabulary it has Skolem-Loewenheim property. Leszek …
