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This article is the first complete axiomatic presenta-tion of the theory of cognition (epistemology). It presents the axioms of the theory of cognition, the definitions of the con-cepts and categories used in the text of the theory, and also provides detailed proofs of the propositions (theorems) aris-ing from them. Based on this axiomatic system, evidence-based solutions to the problems (aporias) of the theory of cognition are proposed. This system of axiomatic epistemol-ogy can serve as a step in building a rigorous scientific theory of human cognition. The axioms of the proposed system fol-low the Aristotelian general understanding of the essence of human cognition.