Abstract

In this paper, under the assumption that ZFC axiom system is consistent, the following are proved: there is no system whose object set consists of all systems; any system is not an object of itself; any system is constructed with basic elements. 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