This article will be permanently flagged as inappropriate and made unaccessible to everyone. Are you certain this article is inappropriate? Excessive Violence Sexual Content Political / Social
Email Address:
Article Id: WHEBN0000074970 Reproduction Date:
In mathematical logic, predicate logic is the generic term for symbolic formal systems like first-order logic, second-order logic, many-sorted logic, or infinitary logic. This formal system is distinguished from other systems in that its formulae contain variables which can be quantified. Two common quantifiers are the existential ∃ ("there exists") and universal ∀ ("for all") quantifiers. The variables could be elements in the universe under discussion, or perhaps relations or functions over that universe. For instance, an existential quantifier over a function symbol would be interpreted as modifier "there is a function". The foundations of predicate logic were developed independently by Gottlob Frege and Charles Sanders Peirce.^{[1]}
In informal usage, the term "predicate logic" occasionally refers to first-order logic. Some authors consider the predicate calculus to be an axiomatized form of predicate logic, and the predicate logic to be derived from an informal, more intuitive development.^{[2]}
Predicate logics also include logics mixing modal operators and quantifiers. See Modal logic, Saul Kripke, Barcan Marcus formulae, A. N. Prior, and Nicholas Rescher.
Set theory, Logic, Model theory, Mathematics, Foundations of mathematics
Propositional calculus, Logical consequence, Predicate logic, Mathematical logic, Syntax (logic)
Set theory, Propositional calculus, Model theory, Computer science, Logical consequence
Predicate logic, Mathematical logic, Set theory, Modus ponens, Formal system
Logic, Logical truth, Mathematical logic, Set theory, Philosophical logic
Epistemology, Computer science, Philosophy, Aesthetics, Metaphysics
Set theory, Logic, Mathematical logic, Bertrand Russell, Model theory