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6 - Axioms for the Natural Numbers

from Part II - The Natural Numbers

Published online by Cambridge University Press:  16 October 2019

T. W. Körner
T. W. Körner
Affiliation:
University of Cambridge
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Summary

We state Peano’s axioms for the positive integers and show how all the properties we have stated for the positive integers can be derived from those axioms. We show how to assign a number to any finite set. We discuss various objections to the way we have discussed numbers.

Keywords

axiomPeanoorderordinal
Type
Chapter
Information
Where Do Numbers Come From? , pp. 109 - 134
Publisher: Cambridge University Press
Print publication year: 2019

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