First-Order Predicate

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Short description: Logical statement with variables, predicates, and quantifiers over objects

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.

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Categories: [Predicate logic] [Concepts in logic]


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