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first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.
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Fermat's Last Theorem and Computability Theory
Regarding question 1: I am pretty sure that only the full proof has given us FLT for infinitely many prime exponents. As soon as we know that there are infinitely many regular primes, we will have an …