Mathematical Physics

    

Obtaining Information About Nature with Finite Mathematics

Authors: Felix Lev

The main goal of this note is to explain that classical mathematics is a special degenerate case of finite mathematics in the formal limit p→∞, where p is the characteristic of the ring or field in finite mathematics. This statement is not philosophical but has been rigorously proved mathematically in our publications. We also describe phenomena which finite mathematics can explain but classical mathematics cannot. Classical mathematics involves limits, infinitesimals, continuity etc., while finite mathematics involves only finite numbers.

Comments: 5 Pages. Presented at the Conference on Theoretical and Foundational Problems in Information Studies, IS4SI Summit 2021, online, 12–19 September 2021. Published in Proceedings, vol.81, 8 (2021).

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[v1] 2022-03-12 01:17:26

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