second-order predicate
1Second-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 …
2First-order predicate — A first order predicate (also called a monad) is a predicate that takes only individual(s) constants or variables as argument(s). Compare second order predicate and higher order predicate. ee also*First order predicate calculus *Monadic predicate …
3Second-order logic — In logic and mathematics second order logic is an extension of first order logic, which itself is an extension of propositional logic.[1] Second order logic is in turn extended by higher order logic and type theory. First order logic uses only… …
4Second-order arithmetic — In mathematical logic, second order arithmetic is a collection of axiomatic systems that formalize the natural numbers and sets thereof. It is an alternative to axiomatic set theory as a foundation for much, but not all, of mathematics. The… …
5Predicate 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… …
6Predicate 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… …
7predicate logic — noun a) The generic term for symbolic formal systems like first order logic, second order logic, many sorted logic or infinitary logic. b) First order logic. <! See . See Also: predicate calculus …
8Predicate 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… …
9First-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… …
10Monadic predicate calculus — In logic, the monadic predicate calculus is the fragment of predicate calculus in which all predicate letters are monadic (that is, they take only one argument), and there are no function letters. All atomic formulae have the form P(x), where P… …
