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2015 What Mathematics is the Most Fundamental?
F.M. Lev
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J. Phys. Math. 6(1): 1-4 (2015). DOI: 10.4172/2090-0902.1000129


Standard mathematics (involving such notions as infinitely small/large and continuity) is usually treated as fundamental while finite mathematics is treated as inferior which is used only in special applications. In the first part of this note we argue that the situation is the opposite: standard mathematics is only a degenerate case of finite one in the formal limit when the characteristic of the ring or field used in finite mathematics goes to infinity, and finite mathematics is more pertinent for describing nature than standard one. In the second part we argue that foundation of finite mathematics is natural while foundational problems of standard mathematics are not fundamental.


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F.M. Lev. "What Mathematics is the Most Fundamental?." J. Phys. Math. 6 (1) 1 - 4, 2015.


Published: 2015
First available in Project Euclid: 23 July 2015

Digital Object Identifier: 10.4172/2090-0902.1000129

Primary: 01Axx , 03Axx

Keywords: Finite mathematics , Galois fields , Infinity , Standard mathematics

Rights: Copyright © 2015 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.6 • No. 1 • 2015
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