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A Mathematical Proof of the Definition of the Science of Science

Yi Lin (Department of Mathematics, Slippery Rock University, Slippery Rock, Pennsylvania 16057–1326, USA)
Yonghao Ma (Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA)

Kybernetes

ISSN: 0368-492X

Article publication date: 1 March 1991

Abstract

A new approach of general systems theory is used to study the feasibility of the definition of the theory so‐called the science of science. General scientific theory is studied as a system. The technique, well used by Bertrand Russell in his famous Russell paradox, is applied to show that the theory of science of science cannot exist. A new definition of the theory of science of science is given, so that paradoxes similar to Russell's paradox will not occur in the new theory of science of science developed on the new definition.

Keywords

Citation

Lin, Y. and Ma, Y. (1991), "A Mathematical Proof of the Definition of the Science of Science", Kybernetes, Vol. 20 No. 3, pp. 52-55. https://doi.org/10.1108/eb005889

Publisher

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MCB UP Ltd

Copyright © 1991, MCB UP Limited