Calculus Of Ideas, A: A Mathematical Study Of Human Thought

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.
Contents:An Architecture for the Mind:IntroductionCreating Thoughts: Algebra of ThinkingPersonality of a Mind:A Mind EquationTwo Personalities:Building a GOLEM, a Thinking MachineAs Thinking DevelopsRealizing a Mind:MIND and BrainReflectionsDoubts and CertaintiesAppendics:Some Famous Mind TheoriesConsistency of Probability MeasureA Modality LatticeDynamics of Random Process of ThinkingSoftware for GOLEM
Readership: Graduate students in applied mathematics, statistics and cognitive science as well as postgraduates and researchers in these fields.