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4 - The Golden Key

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

The axiom of induction is central to the study of the positive integers. We obtain equivalent forms of the axiom and use it to obtain definition by induction. We use induction to analyse various algorithms and to study primes and prime factorisation.

Keywords

inductionalgorithmsprimes
Type
Chapter
Information
Where Do Numbers Come From? , pp. 61 - 82
Publisher: Cambridge University Press
Print publication year: 2019

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  • The Golden Key
  • T. W. Körner, University of Cambridge
  • Book: Where Do Numbers Come From?
  • Online publication: 16 October 2019
  • Chapter DOI: https://doi.org/10.1017/9781108768863.005
Available formats
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To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • The Golden Key
  • T. W. Körner, University of Cambridge
  • Book: Where Do Numbers Come From?
  • Online publication: 16 October 2019
  • Chapter DOI: https://doi.org/10.1017/9781108768863.005
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • The Golden Key
  • T. W. Körner, University of Cambridge
  • Book: Where Do Numbers Come From?
  • Online publication: 16 October 2019
  • Chapter DOI: https://doi.org/10.1017/9781108768863.005
Available formats
×