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Alternative Mathematics: The Vague Way

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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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  1. Centrum voor Logica en Wetenschapsfilosofie Vrije Universiteit Brussel, University of Ghent, Belgium

    Jean Paul Van Bendegem

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  1. Jean Paul Van Bendegem
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Van Bendegem, J.P. Alternative Mathematics: The Vague Way. Synthese 125, 19–31 (2000). https://doi.org/10.1023/A:1005248104792

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  • DOI: https://doi.org/10.1023/A:1005248104792

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