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 remnant of Indians thereabout—all but exterminated in their recent and final war with regular white troops, a war waged by the Red Men for their native soil and natural rights—had been coerced into the occupancy of wilds not far beyond the Mississippi.”
—Herman Melville (1819–1891)