# Peano's postulates

- a collection of axioms concerning the properties of the set of all positive integers, including the principle of mathematical induction.

See also principle of mathematical induction.

## Origin of Peano's postulates^{}

named after G. Peano

Also called Peano's axioms.

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# Peano's axioms

- a set of axioms that yield the arithmetic of the natural numbers

## Word Origin

named after Giuseppe Peano (1858–1932), Italian mathematician

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