contraposition

American  

[kon-truh-puh-zish-uhn] / ˌkɒn trə pəˈzɪʃ ən /

noun

1. placement opposite or against.

2. opposition, contrast, or antithesis.

3. Logic. the inference drawn from a proposition by negating its terms and changing their order, as by inferring “Not B implies not A” from “A implies B.”

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contraposition British  

/ ˌkɒntrəpəˈzɪʃən /

noun

1. the act of placing opposite or against, esp in contrast or antithesis

2. logic the derivation of the contrapositive of a given categorial proposition

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Etymology

Origin of contraposition

First recorded in 1545–55, contraposition is from the Late Latin word contrāposition- (stem of contrāpositiō ). See contra ¹, position

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Example Sentences

See Examples For:

contraposition

While perhaps a direct contraposition to point number one, it's worth remembering that Doc/Fest is a cross-platform, multimedia festival, as well as being a haven for the factually obsessed.

From The Guardian ● May 9, 2013

Paolo Rodari, who writes about the Vatican for the newspaper Il Foglio, said the episode depicted “a widening contraposition happening in the Vatican between Bertone and different clerics who do not like his politics.”

From New York Times ● Jan. 27, 2012

Conversion by contraposition may be said to rest on the following principle—   If one class be wholly contained in another, whatever is external to   the containing class is external also to the class contained.

From Deductive Logic by St. George William Joseph Stock

Some particular case of C not being D is not a case of A being   B. But what is this but an immediate inference by contraposition, coming under the formula   All A is B,   .'.

From Deductive Logic by St. George William Joseph Stock

In its unanalysed form conversion by contraposition may be defined generally as—A form of conversion in which both subject and predicate are replaced by their contradictories.

From Deductive Logic by St. George William Joseph Stock

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