Contraposition definitions

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Contraposition

Contraposition logo #10101) Antipodes 2) Counterpart 3) Inverse 4) Inversion 5) Mathematical logic 6) North and south 7) Opposite poles 8) Opposite side 9) Opposition 10) Placement opposite or against 11) Polarity 12) Reverse
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Contraposition

Contraposition logo #10101) Inversion
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Contraposition

Contraposition logo #21000 To conclude, for any statement where A implies B, then not B always implies not A. Proving or disproving either one of these statements automatically proves or disproves the other. They are fully equivalent. ==Comparisons== ===Examples=== Take the statement `All red objects have color.` This can be equivalently expressed as `If an object is red......
Found on http://en.wikipedia.org/wiki/Contraposition

Contraposition

Contraposition logo #21000[traditional logic] In traditional logic, contraposition is a form of immediate inference in which from a given proposition another is inferred having for its subject the contradictory of the original predicate, and in some cases involving a change of quality (affirmation or negation). For its symbolic expression in modern logic see the rul...
Found on http://en.wikipedia.org/wiki/Contraposition_(traditional_logic)

contraposition

contraposition logo #22641opposition; contrast
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Contraposition

Contraposition logo #21002• (n.) A placing over against; opposite position. • (n.) 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.
Found on http://thinkexist.com/dictionary/meaning/contraposition/

contraposition

contraposition logo #21003(from the article `logic`) The contrapositive of a categorical proposition is formed by converting the proposition (switching subject and predicate terms) and then negating ... ...against the proposition that results from changing its quality at the same time that its second term is negated, the resulting equivalence is ... [2 relate...
Found on http://www.britannica.com/eb/a-z/c/135

Contraposition

Contraposition logo #20972Con'tra·po·si'tion noun [ Prefix contra- + position : confer f. conterposition .] 1. A placing over against; opposite position. [ Obsolete] F. Potter. 2. (Logic) A so-called immediate inference which consists in denying the original subject of the ...
Found on http://www.encyclo.co.uk/webster/C/149

contraposition

contraposition logo #21009contraposition 1. Placing over against or in an opposite position. 2. Opposition, contrast, or antithesis.
Found on http://www.wordinfo.info/words/index/info/view_unit/1725/2

Contraposition

Contraposition logo #21203The recommended use of this word is that according to which the contrapositive of S(s) ?x P(x) is ~P(x) ?x ~S(x). This is, however, not quite strictly in accordance with traditional terminology; see Logic, formal, § 4. -- A.C.
Found on https://www.encyclo.co.uk/local/21203

contraposition

contraposition logo #21199placement opposite or against. · opposition, contrast, or antithesis. · 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.”
Found on https://www.infoplease.com/dictionary/contraposition
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