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Mathematical system of potential infinities (III) – meta theory of logical basis

Wujia Zhu (Department of Computer Science, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China)
Yi Lin (School of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, People's Republic of China Department of Mathematics, Slippery Rock University, Slippery Rock, Pennsylvania, USA)
Guoping Du (Institute of Modern Logic and Applications, Nanjing University, Nanjing, People's Republic of China)
Ningsheng Gong (College of Information Science, Nanjing University of Technology, Nanjing, People's Republic of China)

Kybernetes

ISSN: 0368-492X

Article publication date: 11 April 2008

Abstract

Purpose

This paper is the third part of the effort to resolve the following two problems, which urgently need an answer: how can an appropriate theoretical foundation be chosen for modern mathematics and computer science? And, under what interpretations can modern mathematics and the theory of computer science be kept as completely as possible?

Design/methodology/approach

The paper is a conceptual discussion of the metatheory.

Findings

The paper establishes the metatheory of the logical foundation for the mathematical system of potential infinities.

Originality/value

The authors prove the relevant results on the reliability and the completeness of the logical system.

Keywords

Citation

Zhu, W., Lin, Y., Du, G. and Gong, N. (2008), "Mathematical system of potential infinities (III) – meta theory of logical basis", Kybernetes, Vol. 37 No. 3/4, pp. 505-515. https://doi.org/10.1108/03684920810863499

Publisher

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Emerald Group Publishing Limited

Copyright © 2008, Emerald Group Publishing Limited