First-order predicate

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In mathematical logic, a first-order predicate is a predicate that takes only individual(s) constants or variables as argument(s).[1] Compare second-order predicate and higher-order predicate.

This is not to be confused with a one-place predicate or monad, which is a predicate that takes only one argument. For example the expression "is a planet" is a one-place predicate, while the expression "is father of" is a two-place predicate.

See also[edit]


  1. ^ Flew, Antony (1984), A Dictionary of Philosophy: Revised Second Edition, Macmillan, p. 147, ISBN 9780312209230.