Definition of Peano axioms in US English: Peano axioms
plural noun Mathematics A set of axioms from which the properties of the natural numbers can be deduced.
Example sentences
‘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.
Pronunciation Peano axioms /pāˌänō ˈaksēəmz/