In logic and mathematics, contraposition, or transposition, refers to the inference of going from a conditional statement into its logically equivalent...

argument: affirming the consequent and denying the antecedent. See also contraposition and proof by contrapositive. The form of a modus tollens argument is...

criticized in the phrase: absence of evidence is not evidence of absence. Contraposition is a logically valid rule of inference that allows the creation of a...

inference.[citation needed] Modus ponens Conditional proof Classical contraposition Classical reductio ad absurdum Unlike the semantic definition, this...

as logic and mathematics. Appeal to ridicule Argument from fallacy Contraposition List of Latin phrases Mathematical proof Prasangika Slippery slope Strawman...

a categorical statement. Note that this contraposition in the traditional logic is not same to contraposition (also called transposition) in the modern...

smaller series, Σ a n {\displaystyle \Sigma a_{n}} must converge. By contraposition, if the red series Σ a n {\displaystyle \Sigma a_{n}} is proven to diverge...

inference in propositional logic include modus ponens, modus tollens, and contraposition. First-order predicate logic uses rules of inference to deal with logical...

is often used instead of "proof by mathematical induction". Proof by contraposition infers the statement "if p then q" by establishing the logically equivalent...

C=ND(N\otimes N)} In the classical propositional calculus, the law of contraposition p → q ≡ ¬q → ¬p is proved because the equivalence holds for all the...