First-order predicate

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.

## See also

* First-order predicate calculus
* Monadic predicate calculus

## References

1. ↑ Flew, Antony (1984), A Dictionary of Philosophy: Revised Second Edition, Macmillan, p. 147, ISBN 9780312209230, https://books.google.com/books?id=MmJHVU9Rv3YC&pg=PA147 .

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