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A multi-relation approach of general systems and tests of applications

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Abstract

In this paper, under the assumption that ZFC axiom system is consistent, the following are proved: (a) there is no system whose object set consists of all systems; (b) any system is not an object of itself; (c) any system is constructed with basic elements (elements which are not systems). Based on these results, the following problems in epistemology are discussed: the feasibility of the definition of the theory so-called “science of science”; the existence of basic particles in the world; and the existence of absolute truths.

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Authors and Affiliations

  1. Department of Mathematics, Slippery Rock University, 16057, Slippery Rock, PA, USA

    Yi Lin

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  1. Yi Lin
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This paper was partially supported by Auburn University, presented atThe 20th Annual Spring Topology Conference, entitled ‘The ZFC Axiom System and Problems in Epistemology’.

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Lin, Y. A multi-relation approach of general systems and tests of applications. Synthese 79, 473–488 (1989). https://doi.org/10.1007/BF00869283

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  • DOI: https://doi.org/10.1007/BF00869283

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