Synthese

, Volume 125, Issue 1, pp 19–31

Alternative Mathematics: The Vague Way

  • Jean Paul Van Bendegem
Article

DOI: 10.1023/A:1005248104792

Cite this article as:
Van Bendegem, J.P. Synthese (2000) 125: 19. doi:10.1023/A:1005248104792
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Abstract

Is alternative mathematics possible? More specifically,is it possible to imagine that mathematics could havedeveloped in any other than the actual direction? Theanswer defended in this paper is yes, and the proofconsists of a direct demonstration. An alternativemathematics that uses vague concepts and predicatesis outlined, leading up to theorems such as ``Smallnumbers have few prime factors''.

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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Jean Paul Van Bendegem
    • 1
  1. 1.Centrum voor Logica en Wetenschapsfilosofie Vrije Universiteit BrusselUniversity of GhentBelgium

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