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. This contrasts with the axiomatic systems which instead use axioms as much as possible to express the logical laws of deductive reasoning.
Read more about Natural Deduction: Motivation, Judgments and Propositions, Introduction and Elimination, Hypothetical Derivations, Consistency, Completeness, and Normal Forms, First and Higher-order Extensions, Proofs and Type-theory, Classical and Modal Logics
Famous quotes containing the word natural:
“The trenchant editorials plus the keen rivalry natural to extremely partisan papers made it necessary for the editors to be expert pugilists and duelists as well as journalists. An editor made no assertion that he could not defend with fists or firearms.”
—Federal Writers’ Project Of The Wor, U.S. public relief program (1935-1943)