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.
〔数〕佩亚诺公理
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.
〔数〕佩亚诺公理
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.

词汇	Peano axioms
释义	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. 〔数〕佩亚诺公理 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. 〔数〕佩亚诺公理 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.
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