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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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axiom schema versus inference rule
wikipedia says "An inference rule containing no premises is called an axiom schema or it if contains no metavariables simply an axiom."
but why can't we trivially make a premise ("A is true") part of …