Dictionary Meaning and Definition on 'Postulate'
n : (logic) a proposition that is accepted as true in order to
provide a basis for logical reasoning [syn: posit]
- maintain or assert; "He contended that Communism had no future" [syn: contend]
- take as a given; assume as a postulate or axiom; "He posited three basic laws of nature" [syn: posit]
- require as useful, just, or proper; "It takes nerve to do what she did"; "success usually requires hard work"; "This job asks a lot of patience and skill"; "This position demands a lot of personal sacrifice"; "This dinner calls for a spectacular dessert"; "This intervention does not postulates a patient's consent" [syn: necessitate, ask, need, require, take, involve, call for, demand] [ant: obviate]
- Postulate \Pos"tu*late\, n. [L. postulatum a demand, request,
prop. p. p. of postulare to demand, prob. a dim. of poscere
to demand, prob. for porcscere; akin to G. forschen to
search, investigate, Skr. prach to ask, and L. precari to
pray: cf. F. postulat. See Pray.]
- Something demanded or asserted; especially, a position or supposition assumed without proof, or one which is considered as self-evident; a truth to which assent may be demanded or challenged, without argument or evidence.
- (Geom.) The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem. The distinction between a postulate and an axiom lies in this, -- that the latter is admitted to be self-evident, while the former may be agreed upon between two reasoners, and admitted by both, but not as proposition which it would be impossible to deny. --Eng. Cyc.
- Postulate \Pos"tu*late\, a.
Postulated. [Obs.] --Hudibras.
Wikipedia Meaning and Definition on 'Postulate'
In traditional logic, an axiom or postulate is a proposition that is not proved or demonstrated but considered to be either self-evident, or subject to necessary decision. Therefore, its truth is taken for granted, and serves as a starting point for deducing and inferring other (theory dependent) truths.
In mathematics, the term axiom is used in two related but distinguishable senses: "logical axioms" and "non-logical axioms". In both senses, an axiom is any mathematical statement that serves as a starting point from which other statements are logically derived. Unlike theorems, axioms (unless redundant) cannot be derived by principles of deduction, nor are they demonstrable by mathematical proofs, simply because they are starting points; there is nothing else from which they logically follow (otherwise they would be classified as theorems).[See more about Postulate at Dictionary 3.0 Encyclopedia]
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