Abstract-The article developed the concept of epistemology of artificial intelligence (AI-epistemology), the concept of computer epistemology and the concept of computer representology. In this work, the understanding of artificial intelligence as a project, the theory and the totality of specific applications (so-called intellectual systems) differs; the analysis of the most important problem of artificial intelligence -the problem of computer representation of knowledge; the main stages of the development of the theory of artificial intelligence -classical, nonclassical and post-nonclassical -are analyzed and compared with the corresponding types of scientific rationality.