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References (17)
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Wujia Zhu, Yi Lin, Guoping Du, N. Gong (2008)
Mathematical system of potential infinities (II) - formal systems of logical basisKybernetes, 37
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Yi Lin, Wujia Zhu, N. Gong, Guoping Du (2008)
Systemic yoyo structure in human thoughts and the fourth crisis in mathematicsKybernetes, 37
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Wujia Zhu, Yi Lin, N. Gong, Guoping Du (2008)
Cauchy theater phenomenon in diagonal method and test principle of finite positional differencesKybernetes, 37
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Wujia Zhu, Yi Lin, Guoping Du, N. Gong (2008)
The inconsistency of countable infinite setsKybernetes, 37
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Wujia Zhu, Yi Lin, Guoping Du, N. Gong (2008)
The inconsistency of the natural number systemKybernetes, 37
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10.1108/03684920810863435
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Wujia Zhu, Yi Lin, Guoping Du, N. Gong (2008)
Modern system of mathematics and special Cauchy theater in its theoretical foundationKybernetes, 37
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Wujia Zhu, Yi Lin, N. Gong, Guoping Du (2008)
Descriptive definitions of potential and actual infinitiesKybernetes, 37
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Wujia Zhu, Yi Lin, Guoping Du, N. Gong (2008)
Mathematical system of potential infinities (I) - preparationKybernetes, 37
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Wujia Zhu, Yi Lin, Guoping Du, N. Gong (2008)
Inconsistency of uncountable infinite sets under ZFC frameworkKybernetes, 37
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W.J. Zhu, X.A. Xiao
Medium axiomatic set theoretic system MS -
Wujia Zhu, Yi Lin, N. Gong, Guoping Du (2008)
Wide-range co-existence of potential and actual infinities in modern mathematicsKybernetes, 37
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Wujia Zhu, Yi Lin, Guoping Du, N. Gong (2008)
Mathematical system of potential infinities (IV) - set theoretic foundationKybernetes, 37
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Wujia Zhu, Yi Lin, N. Gong, Guoping Du (2008)
New Berkeley paradox in the theory of limitsKybernetes, 37
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Wujia Zhu, Yi Lin, N. Gong, Guoping Du (2008)
Modern system of mathematics and a pair of hidden contradictions in its foundationKybernetes, 37
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Wujia Zhu, Yi Lin, Guoping Du, N. Gong (2008)
Mathematical system of potential infinities (III) - meta theory of logical basisKybernetes, 37
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Wujia Zhu, Yi Lin, N. Gong, Guoping Du (2008)
Problem of infinity between predicates and infinite setsKybernetes, 37
- Publisher
- Emerald Publishing
- Copyright
- Copyright © 2008 Emerald Group Publishing Limited. All rights reserved.
- ISSN
- 0368-492X
- DOI
- 10.1108/03684920810863525
- Publisher site
- See Article on Publisher Site
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.
Journal
Kybernetes – Emerald Publishing
Published: Apr 11, 2008
Keywords: Cybernetics; Set theory