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:
“It has no share in the leadership of thought: it does not even reflect its current. It does not create beauty: it apes fashion. It does not produce personal skill: our actors and actresses, with the exception of a few persons with natural gifts and graces, mostly miscultivated or half-cultivated, are simply the middle-class section of the residuum.”
—George Bernard Shaw (1856–1950)