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(1989) Synthese 79 (3).
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.
Publication details
DOI: 10.1007/BF00869283
Full citation:
Lin, Y. (1989). A multi-relation approach of general systems and tests of applications. Synthese 79 (3), pp. 473-488.