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

Mathematical system of potential infinities (III) – meta theory of logical basis 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Kybernetes Emerald Publishing

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

Kybernetes , Volume 37 (3/4): 11 – Apr 11, 2008

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Publisher
Emerald Publishing
Copyright
Copyright © 2008 Emerald Group Publishing Limited. All rights reserved.
ISSN
0368-492X
DOI
10.1108/03684920810863499
Publisher site
See Article on Publisher Site

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.

Journal

KybernetesEmerald Publishing

Published: Apr 11, 2008

Keywords: Cybernetics; Set theory

References