, Volume 125, Issue 1, pp 19-31

First online:

Alternative Mathematics: The Vague Way

  • Jean Paul Van BendegemAffiliated withCentrum voor Logica en Wetenschapsfilosofie Vrije Universiteit Brussel, University of Ghent

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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''.