EPISTEMOLOGICAL AND MATHEMATICAL FOUNDATIONS OF ARTIFICIAL INTELLIGENCE TECHNOLOGIES
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Abstract
This article presents an in-depth analysis of the epistemological and mathematical foundations of artificial intelligence technologies from the perspective of the modern scientific paradigm. Within the scope of the research, the theoretical bases of artificial intelligence are evaluated through a gnoseological approach and analyzed using mathematical modeling, algorithmic structures, and formal logical systems. Particular emphasis is placed on the functional foundations of intelligent systems based on Bayesian probability theory, neural network models, and methods of mathematical induction. Additionally, the ontological and cognitive aspects of artificial intelligence’s knowledge base, knowledge representation, and processing mechanisms are subjected to scientific scrutiny. The study draws conclusions based on deductive analysis, comparative (comparative) methodology, and a systematic approach.
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References
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