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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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the (indirect) deduction theorem
$\DeclareMathOperator\Cn{Cn}\DeclareMathOperator\Sb{Sb}$I would like to ask about the Deduction Theorem for an inconsistent system. This is a very well-known fact that for the classical propositional …