# Definitions for contrapositionˌkɒn trə pəˈzɪʃ əncon·tra·po·si·tion

### Wiktionary(0.00 / 0 votes)Rate this definition:

1. contraposition(Noun)

The statement of the form "if not Q then not P", given the statement "if P then Q".

### Webster Dictionary(1.00 / 1 vote)Rate this definition:

1. Contraposition(noun)

a placing over against; opposite position

2. Contraposition(noun)

a so-called immediate inference which consists in denying the original subject of the contradictory predicate; e.g.: Every S is P; therefore, no Not-P is S

3. Origin: [Pref. contra- + position: cf. f. conterposition.]

### Freebase(0.00 / 0 votes)Rate this definition:

1. Contraposition

In logic, contraposition is a law, which says that a conditional statement is logically equivalent to its contrapositive. The contrapositive of the statement has its antecedent and consequent inverted and flipped: the contrapositive of is thus . For instance, the proposition "All bats are mammals" can be restated as the conditional "If something is a bat, then it is a mammal". Now, the law says that statement is identical to the contrapositive "If something is not a mammal, then it is not a bat." The contrapositive can be compared with three other relationships between conditional statements: ⁕Inversion: "If something is not a bat, then it is not a mammal." Unlike the contrapositive, the inverse's truth value is not at all dependent on whether or not the original proposition was true, as evidenced here. The inverse here is clearly not true. ⁕Conversion: "If something is a mammal, then it is a bat." The converse is actually the contrapositive of the inverse and so always has the same truth value as the inverse, which is not necessarily the same as that of the original proposition. ⁕Negation: "There exists a bat that is not a mammal. " If the negation is true, the original proposition is untrue. Here, of course, the negation is untrue.

### Chambers 20th Century Dictionary(0.00 / 0 votes)Rate this definition:

1. Contraposition

kon′tra-po-zish′un, n. opposition, contrast: (logic) an immediate inference, which consists in denying the original subject of the contradictory of the original predicate.—adj. Con′tra-pos′itive.

1. Alex
US English
Daniel
British
Karen
Australian
Veena
Indian

### Numerology

1. Chaldean Numerology

The numerical value of contraposition in Chaldean Numerology is: 4

2. Pythagorean Numerology

The numerical value of contraposition in Pythagorean Numerology is: 8

## Translations for contraposition

### From our Multilingual Translation Dictionary

• contraposition

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"contraposition." Definitions.net. STANDS4 LLC, 2019. Web. 16 Jul 2019. <https://www.definitions.net/definition/contraposition>.

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