What Mathematics Is The Most Fundamental?
Artwork Conversion Software Inc, Manhattan Beach, California, USA
- *Corresponding Author:
- Felix M. Lev
Artwork Conversion Software Inc
1201 Morningside Drive
Received Date: November 16, 2014; Accepted Date: February 10, 2015; Published Date: February 20, 2015
Citation: Lev FM (2015) What Mathematics is the Most Fundamental? J Phys Math 6: 129. doi:10.41722090-0902.1000129
Copyright: © 2015 Lev FM. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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.