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.”
References in periodicals archive ?
I am not saying that Worcester defines the entire contrapositive of Dred Scott.
Contrapositive logic seems to dictate that if we like the first of these, we dislike the mirrored pair.
203) Therefore, by contrapositive, the Double Jeopardy Clause does not apply to a non-criminal proceeding following an acquittal at a criminal proceeding.
We are familiar with the adage "seeing is believing," and as mathematicians we will be equally comfortable with the contrapositive form "if we do not believe, then we will not see".
Sosa says that safety is the contrapositive of sensitivity, but reminds us that contraposing subjunctive conditionals does not preserve truth and therefore a belief can be safe even if it is not sensitive, a result that Sosa uses in his response to radical skeptical scenarios and sees as an advantage of his notion of safety over sensitivity in an account of knowledge.
Of course, this is merely the contrapositive formulation of the same principle.
Julia Anghileri); (7) A Statement, the Contrapositive and the Inverse: Intuition and Argumentation (Samuele Antonini); (8) Solution--What Does It Mean?
The mere contrapositive of the problem about which Professor Johnson and this Note complain is no solution to the problem.
Even if one supposes that: [Mathematical Expressions Omitted],(10) the best one can get is [Mathematical Expressions Omitted] and its contrapositive.
8) These circuits have held that this definition of "non-violent offense" is the contrapositive of the definition of "crime of violence" in U.