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Peano's postulates

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Peano's postulates [pā′än·ōz ′päs·chə·ləts]
(mathematics)
The five axioms by which the natural numbers may be formally defined; they state that (1) there is a natural number 1; (2) every natural numbernhas a successorn+; (3) no natural number has 1 as its successor; (4) every set of natural numbers which contains 1 and the successor of every member of the set contains all the natural numbers; (5) ifn+=m+, thenn=m.


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