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Acknowledgements Acknowledgements I owe particular thanks to those who assisted me, in one way or another, in the development of the ideas reported here. Far more than any of my previous books, this one has been a cooperative venture. Of course, as the saying goes, any errors that remain in the book are my responsibility alone. In no particular order, I must acknowledge: Kent Palmer--although I know him only by e-mail, he has given me more interesting feedback on my work than anyone else. The work described here on magician systems, abstract algebras and hypercomplex fractals was largely inspired by my dialogue with Kent. Tony Smith (of Georgia Tech) and Onar Aam, for numerous intriguing e-mail discussions, in a four-way dialogue with myself and Kent that has continued through the second half of 1995, and now, mid-way through 1996, is still remarkably active. The theory of consciousness given here has benefitted particularly from their input: the basic idea of octonionic consciousness was given to me by Onar and Kent. John Pritchard, a Columbia student and another e-mail acquaintance. His enthusiasm for and feedback on my book Chaotic Logic has been inspiring and educational; and his help in rethinking the Chaos Language Algorithm has been deeply appreciated. Allan Combs, who has been extremely supportive of my forays into system theoretic psychology. His dual expertise in neuropsychology and transpersonal psychology has made him an excellent resource. In addition to the collaborative work on mood fluctuations reported here, his application of my "cognitive equation" to the dynamics of states of consciousness, as reported in his book Radiance of Being, has been most inspirational. Matt Ikle' (now at the University of New Mexico, Alamosa), who collabo- rated on the infinite population size GA work reported here (contributing many thoughtful ideas as well as lots of Mathematica hacking), and is my current collaborator on the SEE model. Malwane Ananda and Louis Yager, who helped out with the infinite population model in its early stages; and Gennady Bachman, who came up with 365 366 Acknowledgements the proof of the determinant theorem. Harold Bowman, who, as well as being a great friend, helped me to work through some of the mathematical details of the generalized Baker map and random magician networks. The magician system model itself was first worked out in detail by Harold and myself, in a series of early morning sessions in my Las Vegas townhouse; this was also when the connection between magician systems and abstract algebras was first conceived. Three graduate students at UNLV. Hiroo Miyamoto and Yoshimasa Awata, who wrote the GA-driven fractal inverse problem program, as part of Hiroo's M.S. thesis. Andy Bagdunov, a computer science grad student at UNLV, who wrote a program which I used to evolve melodies by the genetic algorithm, at an early stage of my research on computer music (I never actually used his program, but the routines that he wrote for producing MIDI files have proved very useful). George Christos, of the Curtin University math department, in Perth---first, for sending me his papers on dream dynamics prior to my arrival in Australia; and second, for many intriguing discussions on dreaming, consciousness, neural networks, memory and related topics since my arrival in Perth. The folks on chaopsyc, the Internet listserver of the Society for Chaos Theory in Psychology. This listserver has often been interesting and has, on several occasions, even been useful. Numerous sections of this book existed in their first incarnations as posts to chaopsyc. The Computer Science Department of Waikato University, where much of this book was written, and a good bit of the work described in it was done. Although I only stayed there fourteen months (1994, and a bit of 1995), it was an extremely productive period for me, and I am grateful to have had the opportunity to work in such a remarkably friendly environment. The Psychology Department of the University of Western Australia, where I am currently employed. The environment here is truly intellectually stimulat- ing, much more so than any of my previous workplaces. In particular, Mark Randell and Mike Kalish have helped to keep alive my interest in psychological applications of complexity science, and have helped me to nurse along a few ideas, e.g. "mindspace curvature." My sons Zarathustra and Zebulon. Zebbie has learned to talk during the three-year-long genesis of this book; when I first drafted this Acknowledgements section, one of his newest phrases was "Ben, no work!" He and his big brother Zar have held up extremely well as I have moved them from country to country over the past fewyears. And last but not least, my wife Gwen, who deserves thanks both profes- sionally (for her help in formulating the Chaos Language algorithm), and personally. References Aam, Onar, Kent Palmer and Frank Dodd (Tony) Smith (1995). Series of e-mail messages exchanged amongst [email protected], [email protected], [email protected] and go- ertzel@psy, uwa.edu.au. Abraham, Ralph and Chris Shaw (1982-1988). Dynamics: the Geometry ofBehavior, Parts 1-4, Santa Cruz: Aerial Press Abraham, Fred and Combs, Allan (1995). Preface, in Chaos Theory in Psychology, Ed. Abraham and Gilgen, New York: Greenwood Press Abraham, Fred, Abraham, Ralph and Chris Shaw (1991). A lqsual Introduction to Dynamical Systems Theory for Psychology. Santa Cruz: Aerial Press. Agha (1992). Actors: A Model of Concurrent Computation. Cambridge: MIT Press Albert, M.L. and Obler, L.K. (1978). The Bilingual Brain: Neuropsychological and Neurolinguistic Aspects of Bilingualism. New York: Academic. Alexander, David (1995). Recursively Modular Neural Networks. Ph.D. Thesis, MacQuarie Univer- sity, Sydney Anderson, J.R. (1983). The Architecture of Cognition. Cambridge MA: Harvard University Press. Andreka, A. and I. Nemeti (1990). The Importance of Universal Algebra for Computer Science, in Algebraic Logic and Universal Algebra in Computer Science, New York: Springer-Verlag Anisfeld, Moshe (1984). Language Development from Birth to Three. Hilldale: Erlbaum. Aurobindo, Sri (1972). The Synthesis of Yoga. Pondicherry, India: All India Press. Bachman, Gennady, Ben Goertzel and Matt Ikle' (1994), "On the Dynamics of Genetic Optimization," submitted to Evolutionary Computation. Bagley, R., D. Farmer and W. Fontana, "Spontaneous Emergence of a Metabolism," in Artificial Life 11, Edited by Chris Langton, C. Baranger, Michel (1993). An Exact Law of Far-From-Equilibrium Thermodynamics, preprint Bamsley, Michael (1988). Fractals Everywhere. New York:Addison-Wesley Barnsley, Michael (1993). Fractal Image Compression. New York:Addison-Wesley Bateson, G. (1980). Mind and Nature: A Necessary Unity, Bantam, NY Bateson, Gregory and Mary Catherine Bateson (1990). Angels Fear.New York: Basic. Baudrillard, Jean (1993). Seduction. London: Bassingstoke. Bell, Timothy, John Cleary and lan Witten (1990). Text Compression, Prentice-Hall, Englewood Cliffs NJ Bisiach, E., S. Meregalli and A. Berti (1985). "Mechanisms of Production-Control and Belief-Fixation in Human Visuo-Spatial Processing: Clinical Evidence from Hemispatial Neglect." Paper presented at Eighth Symposium on Quantitative Analysis of Behavior, Harvard University, June 1985 Bisiach, E. and A. Berti (1987). "Dyschiria: an Attempt at its Systematic Explanation," in Neurophysi- ological and Neuropsychological Aspects of Spatial Neglect, Ed. by M. Jeannerod, North- Holland, Amsterdam Blakeslee, Sandra (1991). "Brain Yields New Clues on Its Organization for Language," New York Times, Sept. 8, p. C1 Blanchard, F. (1989). Beta-Expansions and Symbolic Dynamics, Theoretical Computer Science 65, 131-141 Bollobas, Bela (1985). Random Graphs, Academic Press, Boca Raton FL 367 368 References Bohm, David (1988). Thought as a System. Boston: Routledgeand Kegan Bouchard, Denis ( 1991). "From Conceptual Structure to Syntactic Structure," in (Leffel and Bouchard, 1991). Boulding, Kenneth (1981). Evolutionary Economics, Sage Publishers, Beverly Hills CA Bowlby, J. (1969). Attachment andLoss: Vol. 1, Attachment, New York: Basic Braine, M.D.S. (1976). Children's First Word Combinations. Chicago: University of Chicago Press. Braine, M.D.S. (1971). "The Acquisition of Language in Infant and Child," in The Learning of Language, Ed. C.E. Reed. New York: Appleton-Century-Crofts. Braitenberg, Valentino (1977). On the Texture of Bruins. New York: Springer-Verlag. Braitenberg, Valentino and A. Schuz (1991). Anatomy of the Cortex: Statistics and Geometry. New York: Springer-Verlag. Brooks, Rodney (1989). "A Robot That Walks: Emergent Behavior from a Carefully Designed Network," Neural Computation 1,253-262 Bruce, I.D., G. Christos and R.J. Simpson (1993). "Disruption and Combination of Schemata by Crossover," unpublished technical report, Mathematics Department, Curtin University of Technology, Perth Australia Brudno, A.A. (1978). On the Complexity of Dynamical System Trajectories, Uspeki Matematicheskikh Nauk 33-1 Burnet, C. (1978). The Immune System. San Francisco: Freeman Butterworth, B. (1980). Language Production. New York: Academic Caramazza, A. (1988). "Some Aspects of Language Processing Revealed Through the Analysis of Acquired Aphasia: The Lexical System," Annual Review of Neuroscience 11, 395--421 Caves, Carlton (1990). Entropy and Information, in Complexity, Entropy and the Physics of Information, Ed. W. Zurek. New York: Addison-Wesley Chaitin, Gregory (1987). Algorithmic Information Theory. New York: Addison-Wesley Chomsky, Noam
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