A Calculus of Ideas: A Mathematical Study of Human Thought

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World Scientific, 2012 - Mathematics - 219 pages
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This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind. It presents a mathematical theory of human thought based on pattern theory with a graph-based approach to thinking. The method illustrated and produced by extensive computer simulations is related to neural networks. Based mainly on introspection, it is speculative rather than empirical such that it differs radically in attitude from the conventional wisdom of current cognitive science.
 

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Contents

Part II Personality of a Mind
39
Part III Two Personalities
77
Part IV Realizing a Mind
119
References
167
Appendix A Some Famous Mind Theories
171
Appendix B Consistency of Probability Measure
177
Appendix C A Modality Lattice
179
Appendix D Dynamics of Random Process of Thinking
183
Appendix E Software for GOLEM
187
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