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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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Whether the pure implicational fragment of intuitionistic propositional logic is a finitely-...
Gödel (1932) showed that intuitionistic propositional logic (more precisely, any fragment with implication and disjunction) is not a finitely many-valued logic. What about the pure implicational fragm …