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:
“We are frequently told that talents and genius are natural gifts; and so indeed they are, to the same extent that the productions of the garden and the field are natural gifts.”
—U. R., U.S. women’s magazine contributor. American Ladies Magazine, pp. 317-19 (June, 1829)