Proceedings Article | 1 May 2008
KEYWORDS: Cognitive modeling, Logic, Cognition, Data modeling, Mathematical modeling, Consciousness, Neurons, Detection and tracking algorithms, Systems modeling, Genetic algorithms
The talk discusses mechanisms of the mind and their engineering applications. The past attempts at designing
"intelligent systems" encountered mathematical difficulties related to algorithmic complexity. The culprit turned out to be
logic, which in one way or another was used not only in logic rule systems, but also in statistical, neural, and fuzzy
systems. Algorithmic complexity is related to Godel's theory, a most fundamental mathematical result. These difficulties
were overcome by replacing logic with a dynamic process "from vague to crisp," dynamic logic. It leads to algorithms
overcoming combinatorial complexity, and resulting in orders of magnitude improvement in classical problems of
detection, tracking, fusion, and prediction in noise. I present engineering applications to pattern recognition, detection,
tracking, fusion, financial predictions, and Internet search engines. Mathematical and engineering efficiency of dynamic
logic can also be understood as cognitive algorithm, which describes fundamental property of the mind, the knowledge
instinct responsible for all our higher cognitive functions: concepts, perception, cognition, instincts, imaginations,
intuitions, emotions, including emotions of the beautiful. I present our latest results in modeling evolution of languages
and cultures, their interactions in these processes, and role of music in cultural evolution. Experimental data is presented
that support the theory. Future directions are outlined.
