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...

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...

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

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

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

ever-changing waters flowing through it, and all things exist as a contraposition of opposites. According to Diogenes Laertius, Plato received these ideas...