contrapositive


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contrapositive

[¦kän·trə′päz·əd·iv]
(mathematics)
The contrapositive of the statement “if p, then q ” is the equivalent statement “if not q, then not p.”
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
(128.) See Jim Loy, Converse, Inverse, Contrapositive (1999), http://www.jimloy.com/logic/converse.htm (last visited Apr.
Using Dred Scott as a negative reference point for reading Section 1 requires a definition of Dred Scott's contrapositive. Ordinarily, this involves a difficult process of reasoning.
Philopator's principle may be paraphrased: "if all the antecedent circumstances are the same, only one result can ensue." (4) Bobzien allows that Chrysippus, four centuries earlier, affirms the contrapositive of this principle.
(81) If (4) is false, its contrapositive, premise (5), is also false.
Since, by assumption, s is reachable in M, we can instantiate (G2) for state s, and then take the contrapositive, which yields
Part (2) of the lemma can also be shown straightforwardly by proving the contrapositive, constructing arguments that show [Psi]d ??
It is important to keep in mind that although price differences can provide evidence that two locations lie in different markets, the contrapositive does not hold.
In other words, indefinitely extensible concepts are not formalizable or, to take the contrapositive, any concept that is formalizable is not indefinitely extensible.(12)
As environmentalism has become entrenched, a contrapositive has sprung up, which may be called unvironmentalism.
Assuming that things persist, that Perdurance requires Static Time implies that rejecting Endurance requires rejecting Transient Time, which is the contrapositive of L1.