Definition of Peano axioms in English:
Peano axioms
plural nounpeɪˈɑːnəʊpāˌänō ˈaksēəmz
Mathematics A set of axioms from which the properties of the natural numbers may be deduced.
Example sentencesExamples
- Bertrand Russell said Peano's axioms constitute an implicit definition of natural numbers.
- In 1889 Peano published his famous axioms, called Peano axioms, which defined the natural numbers in terms of sets.
- It isn't clear why most of this discussion, along with a discussion of Peano's axioms and the writings of Leibniz even belongs in this book.
- Why not just implement Peano's axioms in software and patent that?
- So when the community accepts the postulate systems for arithmetic, including the Peano axioms, they commit themselves to the existence of numbers.
Origin
Early 20th century: named after Giuseppe Peano (1858–1932), Italian mathematician.
Definition of Peano axioms in US English:
Peano axioms
plural nounpāˌänō ˈaksēəmz
Mathematics A set of axioms from which the properties of the natural numbers can be deduced.
Example sentencesExamples
- So when the community accepts the postulate systems for arithmetic, including the Peano axioms, they commit themselves to the existence of numbers.
- Why not just implement Peano's axioms in software and patent that?
- It isn't clear why most of this discussion, along with a discussion of Peano's axioms and the writings of Leibniz even belongs in this book.
- Bertrand Russell said Peano's axioms constitute an implicit definition of natural numbers.
- In 1889 Peano published his famous axioms, called Peano axioms, which defined the natural numbers in terms of sets.
Origin
Early 20th century: named after Giuseppe Peano (1858–1932), Italian mathematician.