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Natural deduction
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{{Short description|Kind of proof calculus}} {{use dmy dates|date=March 2025}} In [[logic]] and [[proof theory]], '''natural deduction''' is a kind of [[proof calculus]] in which [[logical reasoning]] is expressed by [[inference rules]] closely related to the "natural" way of reasoning.{{sfn|Indrzejczak}} This contrasts with [[Hilbert system|Hilbert-style systems]], which instead use [[axiom]]s as much as possible to express the logical laws of [[deductive reasoning]].
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