Definition of Peano arithmetic in English:
Peano arithmetic
noun
(also Peano's arithmetic)
Mathematics A system of arithmetic based on a theory of natural numbers defined by the Peano axioms, in which such numbers can be represented using only two symbols (one of which is zero).
Origin
Early 20th century; earliest use found in Bertrand Russell (1872–1970), philosopher, journalist, and political campaigner.
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