In mathematics and logic, a vacuous truth is a conditional or universal statement (a universal statement that can be converted to a conditional statement)...

true regardless of the truth value of the antecedent P if the consequent is fixed as true. A related concept is a vacuous truth, where the antecedent P...

In mathematics, an empty product, or nullary product or vacuous product, is the result of multiplying no factors. It is by convention equal to the multiplicative...

every element of ∅ {\displaystyle \varnothing } , the property P holds (vacuous truth). There is no element of ∅ {\displaystyle \varnothing } for which the...

change the value of the expression. In keeping with the concept of vacuous truth, when conjunction is defined as an operator or function of arbitrary...

fallacy Logical extreme Logical fallacies Reductio ad absurdum Straw man Vacuous truth K. S. Pope (2003). "Common Logical Fallacies in Psychology: 26 Types...

Quantum vacuum fluctuations Ultimate fate of the universe Vacuum Vanitas Vacuous truth Void (disambiguation) Zero Lincoln, Don (16 February 2023). ""Nothing"...

{\displaystyle M} is empty, the condition given above is an example of a vacuous truth. So the intersection of the empty family should be the universal set...

operators and symbols in Unicode Non-logical symbol Polish notation Truth function Truth table Wikipedia:WikiProject Logic/Standards for notation "Named character...

}\emptyset \,P(x)} is always true, regardless of the formula P(x); see vacuous truth. The universal closure of a formula φ is the formula with no free variables...

fulfilling a given predicate P(x) – exist in the empty set. See also Vacuous truth for more information. In category theory and the theory of elementary...

truth table of A → B {\displaystyle A\rightarrow B} : The logical cases where the antecedent A is false and A → B is true, are called "vacuous truths"...

theory) Degenerate form Trivial (mathematics) Pathological (mathematics) Vacuous truth Weisstein, Eric W. "Degenerate". mathworld.wolfram.com. Retrieved 2019-11-29...

anyone has trespassed. Affirming the consequent Quantifier (logic) Vacuous truth "Logical Fallacy: The Existential Fallacy". www.fallacyfiles.org. Fallacy...

assuming that, if one wrong is committed, another wrong will rectify it. Vacuous truth – a claim that is technically true but meaningless, in the form no A...

Reinach Carl Stumpf Situation theory Tractatus Logico-Philosophicus Vacuous truth Padilla Gálvez, Jesús (2021). State of Affairs. Reconstructing the Controversy...

that a truth is analytic exactly if it can be derived using logic. However, he maintained a distinction between analytic truths (i.e., truths based only...

The truth evaluation of an empty conjunctive clause is always t r u e {\displaystyle true} . This is related to the concept of a vacuous truth. Every...

\psi (x))} Lambert's law (logic) Philosophy of language John Searle Vacuous truth Russell, Bertrand (1905). "On Denoting". Mind. 14 (4): 479–493. doi:10...

cheese Relevance logic arose out of attempts to avoid these paradoxes Vacuous truth von Fintel, Kai (2011). "Conditionals" (PDF). In von Heusinger, Klaus;...

mathematical object Without loss of generality – Expression in mathematics Vacuous truth – Conditional statement which is true because the antecedent cannot...

quantification -- Univocity -- Unspoken rule -- Use–mention distinction -- Vacuous truth -- Vagrant predicate -- Vagueness -- Validity -- Valuation-based system...

March 2024. Santhosh, Vivek (23 March 2024). "'Secret Home' movie review: Vacuous murder mystery sans focus and intrigue". The New Indian Express. Retrieved...

V for Vendetta V. Y. Mudimbe Vācaspati Miśra Václav Bělohradský Vacuous Vacuous truth Vagbhatananda Gurudevar Vagrant predicate Vagueness Vaisesika Vaiśesika...

for fact", adding: "Gladwell has made a career out of handing simple, vacuous truths to people and dressing them up with flowery language and an impressionistic...

bipartite graph can be aperiodic. In any directed acyclic graph, it is a vacuous truth that every k divides all cycles (because there are no directed cycles...

and weak dialogues that damage competent performances, Kalvan has enough vacuous moments that make us zone out and question the point of its existence."...

and "meanings of sentences" are, in effect, vacuous and superfluous Many authors consider statements as truth-bearers, though as with the term "proposition"...

film begins and ends in "reality" where Max and Muriel lead a futile, vacuous but bourgeois life in high finance (and the implication being that Muriel...

to Bertrand Russell's theory of truth,[clarification needed] there is only one actual world, and a statement's truth value depends on whether the statement...