Obtaining Information about Nature with Finite Mathematics

Abstract

The main goal of this presentation 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.

Keywords

• finite mathematics
• classical mathematics
• finite quantum theory