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Intension and structure of actually infinite, rigid sets

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)
Ningsheng Gong (College of Information Science, Nanjing University of Technology, Nanjing, People's Republic of China)
Guoping Du (Institute of Modern Logic and Applications, Nanjing University, Nanjing, People's Republic of China)

Kybernetes

ISSN: 0368-492X

Article publication date: 11 April 2008

Abstract

Purpose

On the basis of previous work, the authors aim to further study the problem of infinity existing in between predicates and sets.

Design/methodology/approach

A conceptual approach is taken in the paper.

Findings

The authors modify the conventional rule of thinking that each predicate determines a unique set, and establish a principle regarding the relationship between predicates and sets. Then, the authors study the structures of actually infinite, rigid sets.

Originality/value

The structure of actually infinite sets is detailed.

Keywords

Citation

Zhu, W., Lin, Y., Gong, N. and Du, G. (2008), "Intension and structure of actually infinite, rigid sets", Kybernetes, Vol. 37 No. 3/4, pp. 534-542. https://doi.org/10.1108/03684920810863525

Publisher

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Emerald Group Publishing Limited

Copyright © 2008, Emerald Group Publishing Limited