Peano arithmetic

noun

A set of axioms of first-order logic for the natural numbers specifying the operations of zero, successor, addition and multiplication, including a first-order schema of induction.

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Meanings

nounPeano arithmetic (countable and uncountable, plural Peano arithmetics)

plural Peano arithmetics

  1. countableuncountablehuman sciencesA set of axioms of first-order logic for the natural numbers specifying the operations of zero, successor, addition and multiplication, including a first-order schema of induction.

Origin

Named after Italian mathematician Giuseppe Peano (1858–1932).

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Translations

Finnish Peanon aritmetiikka
  • Peanon aritmetiikkaTranslations
German Peanoarithmetik
  • PeanoarithmetikTranslations
Polish arytmetyka Peana
  • arytmetyka PeanaTranslations
Cite this entry
APA

Peano arithmetic. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Peano%20arithmetic

MLA

“Peano arithmetic.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Peano%20arithmetic. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Peano arithmetic,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Peano%20arithmetic.

Source: Peano arithmetic on Wiktionary, CC BY-SA 4.0.