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

In traditional logic, contraposition is a form of immediate inference in which a proposition is inferred from another and where the former has for its...

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...

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

a rule of inference is applied to categorical propositions through contraposition and obversion, a series of immediate inferences where the rule of obversion...

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

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...

then not-B implies not-A", and vice versa), which expresses the law of contraposition. For instance, "If it's a book, it is blue; if it's not blue, it's not...

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

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...

Syntactically, (1) and (2) are derivable from each other via the rules of contraposition and double negation. Semantically, (1) and (2) are true in exactly the...

for the second problem, one exists for the first problem as well. By contraposition, if no efficient algorithm exists for the first problem, none exists...

potentially habitable worlds are. The Hart-Tipler conjecture is a form of contraposition which states that because no interstellar probes have been detected...

category theory, the term conglomerate is applied to arbitrary sets as a contraposition to the distinguished sets that are elements of a Grothendieck universe...

(grammatical polarity) Ampheck Apophasis Binary opposition Bitwise NOT Contraposition Cyclic negation Negation as failure NOT gate Plato's beard Square of...

existence or non-existence. Argument from ignorance Argument from silence Contraposition Probatio diabolica Proof by exhaustion "Absence of Evidence Is Not Evidence...

for lunch, then Sam also cannot have eaten an orange for lunch (by contraposition). However, merely saying that Sam did not eat an orange for lunch provides...

directions of implication, Bayes' theorem represents a generalization of the contraposition law, which in classical propositional logic can be expressed as: ( B...

above. We want to show: If G implies A, then G proves A. We proceed by contraposition: We show instead that if G does not prove A then G does not imply A...

(2a − 1)((2a)b−1 + (2a)b−2 + ... + 2a + 1) so 2p − 1 is composite. By contraposition, if 2p − 1 is prime then p is prime. If p is an odd prime, then every...

each according to his ability, to each according to his deeds". In contraposition, the anarcho-communists (such as Peter Kropotkin, Carlo Cafiero and...

foreigner like Sapp against a Japanese national like Taro, a cultural contraposition, also gained comparisons with Japanese professional wrestling legend...

cities, including Castelfranco Veneto (founded by the Trevigiani in contraposition to Padua), had become attractive to neighbouring powers, including the...

and P cannot be swapped in All S are P. Philosophy portal Aristotle Contraposition Inverse (logic) Logical connective Obversion Term logic Transposition...

they discovered that living humans tend to display a "weight shift" or contraposition when standing. The first Greek statue to exhibit contrapposto is the...

Scuola romana or Scuola di via Cavour was a 20th-century art movement defined by a group of painters within Expressionism and active in Rome between 1928...