Mathematical logic

Finitary

In mathematics and logic, an operation is finitary if it has finite arity, i.e. if it has a finite number of input values. Similarly, an infinitary operation is one with an infinite number of input values. In standard mathematics, an operation is finitary by definition. Therefore these terms are usually only used in the context of infinitary logic. (Wikipedia).

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Related pages

Axiom | David Hilbert | Mathematics | Mathematical proof | Numerical digit | Finite set | Operation (mathematics) | Rule of inference | Infinitary logic | Foundations of mathematics | Geometry | Infinite set | Logicism | Arity | Modus ponens