existential quantifier symbol

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• existential quantifier — noun The operator, represented by the symbol ∃, used in predicate calculus to indicate that a predicate is true for at least one member of a specified set. Some verbal equivalents are there exists or there is . See Also: universal quantifier …   Wiktionary

• Existential quantification — In predicate logic, an existential quantification is the predication [The term predication in grammar means the predicate of a sentence which refers to subject and is an adverb or adjective, or equivalent, that describes an attribute of the… …   Wikipedia

• Quantification — has two distinct meanings.In mathematics and empirical science, it refers to human acts, known as counting and measuring that map human sense observations and experiences into members of some set of numbers. Quantification in this sense is… …   Wikipedia

• First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… …   Wikipedia

• Method of analytic tableaux — A graphical representation of a partially built propositional tableau In proof theory, the semantic tableau (or truth tree) is a decision procedure for sentential and related logics, and a proof procedure for formulas of first order logic. The… …   Wikipedia

• formal logic — the branch of logic concerned exclusively with the principles of deductive reasoning and with the form rather than the content of propositions. [1855 60] * * * Introduction       the abstract study of propositions, statements, or assertively used …   Universalium

• Skolem normal form — A formula of first order logic is in Skolem normal form (named after Thoralf Skolem) if it is in conjunctive prenex normal form with only universal first order quantifiers. Every first order formula can be converted into Skolem normal form while… …   Wikipedia

• Original proof of Gödel's completeness theorem — The proof of Gödel s completeness theorem given by Kurt Gödel in his doctoral dissertation of 1929 (and a rewritten version of the dissertation, published as an article in 1930) is not easy to read today; it uses concepts and formalism that are… …   Wikipedia

• Universal quantification — In predicate logic, universal quantification is an attempt to formalize the notion that something (a logical predicate) is true for everything , or every relevant thing.The resulting statement is a universally quantified statement, and we have… …   Wikipedia

• applied logic — Introduction       the study of the practical art of right reasoning. The formalism (formal logic) and theoretical results of pure logic can be clothed with meanings derived from a variety of sources within philosophy as well as from other… …   Universalium

• Proof sketch for Gödel's first incompleteness theorem — This article gives a sketch of a proof of Gödel s first incompleteness theorem. This theorem applies to any formal theory that satisfies certain technical hypotheses which are discussed as needed during the sketch. We will assume for the… …   Wikipedia