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Peano arithmetic

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.

Noun

Peano arithmetic (countable and uncountable, plural Peano arithmetics)

  1. 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.

Forms of Peano arithmetic

pluralPeano arithmetics

Origin of Peano arithmetic

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

Questions about Peano arithmetic

What does Peano arithmetic mean?
Peano arithmetic means 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.
What part of speech is Peano arithmetic?
Peano arithmetic is a noun.
What is the plural of Peano arithmetic?
The plural of Peano arithmetic is Peano arithmetics.

Words near Peano arithmetic in the dictionary

  1. peanisms
  2. peanits
  3. peannies
  4. peanny
  5. Peano
  6. Peano arithmetic
  7. Peano arithmetics
  8. Peano axiom
  9. Peano axioms
  10. Peano curve
  11. Peano curves

Source and license

Adapted from Wiktionary: Peano arithmetic (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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