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and statistical cognitive algorithms
of cognition, and statistical applications in several fields based on
these mind models. We discuss models of concepts, emotions, instincts,
language, cognition, abilities for symbols, function of music in
cognition and evolution, role of the beautiful. This research won
National and International Awards.A mathematical-statistical breakthrough, dynamic logic is described. It
models cognitive processes “from vague and unconscious to crisp and
conscious,” from vague representations, plans, thoughts to crisp ones.
It resulted in more than 100 times improvements in several engineering
applications of statistics; recent psychological and brain imaging
experiments at Harvard, Quebec, Kyoto proved it to be a valid model for
the brain-mind processes. New cognitive and mathematical principles are
discussed, language-cognition interaction, function of music in
cognition, and evolution of cultures. How does language interact with
cognition? Do we think using language or is language just a label for
completed thoughts? Why the music ability has evolved from animal cries
to Bach and Lady Gaga? The talk briefly reviews past mathematical
difficulties of computational intelligence and new mathematical
techniques of dynamic logic, which overcome these difficulties.
The talk discusses cognitive functions of emotions. Why human cognition
needs emotions of beautiful, music, sublime. Dynamic logic is related to
the knowledge instinct, the language instinct. How languages affect
evolution of cultures. What are the biases of English, Spanish, French,
German, Arabic, Chinese; what is the role of language in cultural
differences and rise of terrorism?
Relations between cognition and music, science and religion are
discussed. The Nobel Prize in Economics 2002 is related to the Biblical
story of the fall. Mathematical models of the mind and cultures bear on
contemporary world, and may be used to improve mutual understanding
among peoples around the globe and reduce tensions among cultures.