A first-order predicate (also called a monad) is a predicate that takes only individual(s) constants or variables as argument(s). Compare
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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
Second-order predicate — In mathematical logic, a second order predicate is a predicate that takes a first order predicate as an argument. Compare higher order predicate.The idea of second order predication was introduced by the German mathematician and philosopher Frege … Wikipedia
List of first-order theories — In mathematical logic, a first order theory is given by a set of axioms in somelanguage. This entry lists some of the more common examples used in model theory and some of their properties. PreliminariesFor every natural mathematical structure… … Wikipedia
predicate calculus — The logical calculus in which the expressions include predicate letters, variables, and quantifiers, names, and operation letters, as well as the expressions for truth functions and the propositional variables of the propositional calculus . The… … Philosophy dictionary
Predicate — or predication may refer to:*Predicate (mathematics), a relation, or the boolean valued characteristic function or indicator function of a relation *Predicate (logic), a fundamental concept in first order logic **in Bertrand Russell s theory of… … Wikipedia
Predicate functor logic — In mathematical logic, predicate functor logic (PFL) is one of several ways to express first order logic (formerly known as predicate logic) by purely algebraic means, i.e., without quantified variables. PFL employs a small number of algebraic… … Wikipedia
Predicate variable — In first order logic, a predicate variable is a predicate letter which can stand for a relation (between terms) but which has not been specifically assigned any particular relation (or meaning). In first order logic (FOL) they can be more… … Wikipedia
predicate calculus — Logic. See functional calculus. Also called predicate logic. [1945 50] * * * Part of modern symbolic logic which systematically exhibits the logical relations between propositions involving quantifiers such as all and some. The predicate calculus … Universalium
Predicate logic — 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 formulas… … Wikipedia
Predicate abstraction — In logic, predicate abstraction is the result of creating a predicate from an open sentence. If Q(x) is any formula with x free then the predicate formed from that sentence is (λx.Q(x)), where λ is an abstraction operator. The resultant predicate … Wikipedia
