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Results tagged with lo.logic
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user 153920
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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Representing modus ponens in a Polish propositional logic with NAND as the only connective
This weakening of Nicod's inference rule is too weak. The 4-element counter-model above is one on which (a) your rule holds, (b) Nicod's single axioms holds, but (c) the formula s(s(X,X),X) fails …