The Logic and the Ledger: Tracing the DNA of AI
Rajendran Swamidurai, Uma Kannan · Journal of Science and Technology · 2025
The development of intelligent systems is fundamentally and inseparably linked to a sophisticated mathematical framework. Modern artificial intelligence (AI), particularly its subfields of machine learning (ML) and deep learning, is not a new discipline of computer science but rather a highly advanced application of classical and novel mathematical principles. The models and algorithms that enable systems to process data, learn intricate patterns, and optimize predictions are built upon a bedrock of abstract mathematical theories. This paper systematically deconstructs this relationship, demonstrating how core mathematical disciplines serve as the language, the engine, and the conceptual framework for all intelligent systems. The analysis will traverse from foundational principles to their application in cutting-edge architectures and conclude with a discussion of the theoretical and practical challenges that are currently shaping the future of the field.