Mathematical system of potential infinities (I) – preparation
Abstract
Purpose
Aims to focus on the co‐existence of potential and actual infinities in modern mathematics and its theoretical foundation. It has been shown that not only the whole system of modern mathematics but also the subsystems directly dealing with infinities have permitted the co‐existence of these two kinds of infinities.
Design/methodology/approach
The paper discusses the issues surrounding the two problems that urgently need to be solved. One of the problems is how to select an appropriate theoretical foundation for modern mathematics and the theory of computer science. The other problem is, under what interpretation can modern mathematics and the theory of computer science be kept in their entirety?
Findings
This paper constructs the mathematical system of potential infinities in an effort to address the two afore‐mentioned problems.
Originality/value
Highlights that the said mathematical system of potential infinities is completely different of the mathematical system constructed on the basis of intuitionism.
Keywords
Citation
Zhu, W., Lin, Y., Du, G. and Gong, N. (2008), "Mathematical system of potential infinities (I) – preparation", Kybernetes, Vol. 37 No. 3/4, pp. 489-493. https://doi.org/10.1108/03684920810863471
Publisher
:Emerald Group Publishing Limited
Copyright © 2008, Emerald Group Publishing Limited