Modeling Field Theory of Higher Cognitive Functions

The chapter discusses a mathematical theory of higher cognitive functions, including concepts, emotions, instincts, understanding, imagination and intuition. Mechanisms of the knowledge instinct are proposed, driving our understanding of the world. Aesthetic emotions and perception of beauty are related to “everyday” functioning of the mind. We briefly discuss neurobiological grounds as well as difficulties encountered by previous attempts at mathematical modeling of the mind encountered since the 1950s. The mathematical descriptions below are complemented with detailed conceptual discussions so the content of the chapter can be understood without necessarily following mathematical details. We relate mathematical results and computational examples to cognitive and philosophical discussions of the mind. Relating a mathematical theory to psychology, neurobiology and philosophy will improve our understanding of how the mind works.

[1]  H. Cramér.  Mathematical methods of statistics , 1947 .

[2]  J.F. Fontanari,et al.  Meaning creation and modeling field theory , 2005, International Conference on Integration of Knowledge Intensive Multi-Agent Systems, 2005..

[3]  L. Perlovsky.  Symbols: Integrated Cognition and Language , 2007 .

[4]  S. Poirier.  Foundations of Mathematics , 2007 .

[5]  K. H. Stauder,et al.  Psychology of the Child , 1959 .

[6]  Susan Bowsfield.  The Symbolic Species: The Co-Evolution of Language and the Brain , 2004 .

[7]  Louis C. Charland.  What emotions really are : The problem of psychological categories , 2001 .

[8]  John R. Searle,et al.  Minds, brains, and programs , 1980, Behavioral and Brain Sciences.

[9]  Leonid I. Perlovsky,et al.  Maximum likelihood neural networks for sensor fusion and adaptive classification , 1991, Neural Networks.

[10]  Allen Newell,et al.  Intellectual issues in the history of artificial intelligence , 1983 .

[11]  Stephen Grossberg,et al.  LINKING MIND TO BRAIN: THE MATHEMATICS OF BIOLOGICAL INTELLIGENCE , 2000 .

[12]  L. I. Perlovsky.  Emotions, learning and control , 1999, Proceedings of the 1999 IEEE International Symposium on Intelligent Control Intelligent Systems and Semiotics (Cat. No.99CH37014).

[13]  J. Searle.  Intentionality: An Essay in the Philosophy of Mind , 1983 .

[14]  Andrew Ortony,et al.  The Cognitive Structure of Emotions , 1988 .

[15]  Lotfi A. Zadeh.  Information Granulation and Its Centrality in Human and Machine Intelligence , 1998, Rough Sets and Current Trends in Computing.

[16]  Noam Chomsky,et al.  New horizons in the study of language , 1997 .

[17]  Alex M. Andrew,et al.  Intelligent Systems: Architecture, Design, and Control , 2002 .

[18]  R. Feynman,et al.  Quantum Mechanics and Path Integrals , 1965 .

[19]  S. Paradiso.  The Emotional Brain: The Mysterious Underpinnings of Emotional Life , 1998 .

[20]  Andy Clark,et al.  The Kludge in the Machine , 1987 .

[21]  I. Kant.  Anthropology from a pragmatic point of view , 1974 .

[22]  Brian D. Josephson.  An integrated theory of nervous system functioning embracing nativism and constructivism , 2000 .

[23]  James S. Albus,et al.  Engineering of Mind: An Introduction to the Science of Intelligent Systems , 2001 .

[24]  G. Edelman,et al.  A Universe Of Consciousness: How Matter Becomes Imagination , 2000 .

[25]  Leonid Perlovsky,et al.  Neural Networks and Intellect: Using Model-Based Concepts , 2000, IEEE Transactions on Neural Networks.

[26]  G. Fricchione.  Descartes’ Error: Emotion, Reason and the Human Brain , 1995 .

[27]  Vojislav Kecman,et al.  Learning and Soft Computing: Support Vector Machines, Neural Networks, and Fuzzy Logic Models , 2001 .

[28]  Leonid I. Perlovsky,et al.  Conundrum of Combinatorial Complexity , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[29]  Leonid I. Perlovsky,et al.  Statistical Limitations on Molecular Evolution , 2002, Journal of biomolecular structure & dynamics.

[30]  S. Zeki.  A vision of the brain , 1993 .

[31]  D. Spalding.  The Principles of Psychology , 1873, Nature.

[32]  A. Ortony,et al.  What's basic about basic emotions? , 1990, Psychological review.

[33]  Stephen Grossberg,et al.  A massively parallel architecture for a self-organizing neural pattern recognition machine , 1988, Comput. Vis. Graph. Image Process..

[34]  Leonid Perlovsky,et al.  Semiotic modeling and situational analysis: An introduction , 1997 .

[35]  John G. Taylor.  Mind and consciousness: Towards a final answer? , 2005, Physics of life reviews.

[36]  Kim B. Housewright,et al.  Derivation and evaluation of improved tracking filter for use in dense multitarget environments , 1974, IEEE Trans. Inf. Theory.

[37]  K. B. Madsen,et al.  Pleasure, reward, preference : their nature, determinants, and role in behavior , 1973 .

[38]  Walter J. Freeman,et al.  Neurodynamics: An Exploration in Mesoscopic Brain Dynamics , 2000, Perspectives in Neural Computing.

[39]  Bruno Marchal,et al.  Theoretical computer science and the natural sciences , 2005 .

[40]  J.F. Fontanari,et al.  Integrating Language and Cognition: A Cognitive Robotics Approach , 2007, IEEE Computational Intelligence Magazine.

[41]  J. Dupré.  The Conscious Mind: In Search of a Fundamental Theory , 2000 .

[42]  Gary Charness,et al.  When Optimal Choices Feel Wrong: A Laboratory Study of Bayesian Updating, Complexity, and Affect , 2004 .

[43]  T. Nagel.  Mortal Questions: What is it like to be a bat? , 2012 .

[44]  C. Koch,et al.  Methods in Neuronal Modeling: From Ions to Networks , 1998 .

[45]  M. Minsky.  The Society of Mind , 1986 .

[46]  A. Kendon,et al.  Organization of behavior in face-to-face interaction , 1975 .

[47]  Simon Schaffer,et al.  Never at rest. A biography of Isaac Newton , 1981, Medical History.

[48]  J. Fontanari,et al.  Solvable null model for the distribution of word frequencies. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[49]  Steven Pinker,et al.  The mystery of consciousness. , 2007, Time.

[50]  Michael E. Bratman,et al.  Faces of Intention: Selected Essays on Intention and Agency , 1999 .

[51]  R. Jackendoff.  Foundations of Language: Brain, Meaning, Grammar, Evolution , 2002 .

[52]  J. Jaynes.  The Origin of Consciousness in the Breakdown of the Bicameral Mind , 1976 .

[53]  S. Grossberg,et al.  Neural dynamics of attentionally modulated Pavlovian conditioning: blocking, interstimulus interval, and secondary reinforcement. , 1987, Applied optics.

[54]  S. Grossberg.  Neural Networks and Natural Intelligence , 1988 .

[55]  R. Penrose,et al.  Shadows of the Mind , 1994 .

[56]  I. Kant,et al.  Critique of Pure Reason: Glossary , 1998 .

[57]  C. G. Jung.  Psychological Types , 2000 .

[58]  Gert Webelhuth,et al.  Government and binding theory and the minimalist program : principles and parameters in syntactic theory , 1997 .

[59]  J.F. Fontanari,et al.  Evolution of communication in a community of simple minded agents , 2005, International Conference on Integration of Knowledge Intensive Multi-Agent Systems, 2005..

[60]  K. Gödel,et al.  Kurt Gödel : collected works , 1986 .