General Mathematics

    

Discussion of Foundation of Mathematics and Quantum Theory

Authors: Felix M. Lev

Following the results of our recently published book (F. Lev, Finite mathematics as the foundation of classical mathematics and quantum theory. With application to gravity and particle theory. Springer (2020)), we discuss different aspects of classical and finite mathematics and explain why finite mathematics based on a finite ring of characteristic p is more general (fundamental) than classical mathematics: the former does not have foundational problems, and the latter is a special degenerate case of the former in the formal limit p→∞. In particular, quantum theory based on a finite ring of characteristic p is more general than standard quantum theory because the latter is a special degenerate case of the former in the formal limit p→∞ .

Comments: 19 Pages. Published in Open Mathematics, vol. 20, no.1, pp. 94-107 (2022).

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Submission history

[v1] 2020-11-16 01:47:44
[v2] 2021-04-25 16:40:35
[v3] 2021-05-04 19:24:37
[v4] 2021-07-24 16:12:07
[v5] 2022-03-10 13:53:38

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