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...

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

technical issues, or some kind of oversight from the hiring team. Contraposition is a logically valid rule of inference that allows the creation of a...

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

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

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...

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

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...

its codomain; that is, x1 ≠ x2 implies f(x1) ≠ f(x2) (equivalently by contraposition, f(x1) = f(x2) implies x1 = x2). In other words, every element of the...

when having ruled out explosive antecedents) captures the classical contraposition principle ( B → A ) ↔ ( ¬ A → ¬ B ) {\displaystyle (B\to A)\leftrightarrow...

can be expressed as: If something is a raven, then it is black. Via contraposition, this statement is equivalent to: (2) If something is not black, then...

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

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

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...

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...

conjecture might also simultaneously prove Fermat's Last Theorem. By contraposition, a disproof or refutation of Fermat's Last Theorem would disprove the...

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

who adopted a laissez-faire system he termed anarchistic socialism in contraposition to state socialism. This tradition has been recently associated with...

treacherous tyrant who serves as a nemesis to Liu Bei, often depicted in contraposition as a hero trying to revive the declining Han dynasty. During the Ming...

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

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...

African-American ways of knowing, in order to be considered intellectual". Another contraposition commented by scholars was "between the supportive Dr. Larabee and Akeelah's...

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

implies that the variance is constant for all treatments. Therefore, by contraposition, a necessary condition for unit-treatment additivity is that the variance...

the final hours, leaving Soviet Foreign Minister Dmitri Shepilov in contraposition. Why is that we have never heard voices in connection with the freedom...

(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...

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