A calculus of ideas a mathematical study of human thought
Title:
A calculus of ideas a mathematical study of human thought
Author:
Grenander, Ulf.
ISBN:
9789814383196
9781283850728
Personal Author:
Publication Information:
Singapore ; Hackensack, N.J. : World Scientific, c2012
Physical Description:
1 online resource (xv, 219 p.) ill.
Contents:
Ch. 1. Introduction. 1.1. A mathematical theory of mind? 1.2. Substance and change -- ch. 2. Creating thoughts: algebra of thinking. 2.1. What we shall do. 2.2. Judging a mind model. 2.3. Mental architecture. 2.4. An algebra of human thought. 2.5. Some thoughts in Goethe -- ch. 3. A mind equation. 3.1. Personality profile. 3.2. Mental dynamics. 3.3. Personality profiles in literature. 3.4. Trajectories in mind space. 3.5. Dynamics with simple moves. 3.6. Mental dynamics with composite moves. 3.7. A calculus of thinking. 3.8. Birth and death of thoughts -- ch. 4. Building a GOLEM, a thinking machine. 4.1. Data structures for the mind. 4.2. Program hierarchy for the mind. 4.3. Putting it all together. 4.4. A GOLEM alive? 4.5. Drivers. 4.6. Judging the behavior of GOLEM. 4.7. Not yet implemented. 4.8. LEGACY. 4.9. Assembling mental pattern parameters. 4.10. Running the LEGACY -- ch. 5. As thinking develops. 5.1. Changes in personality parameter. 5.2. Development of a young mind. 5.3. GOLEM evolves -- ch. 6. MIND and brain. 6.1. Connect to the brain? 6.2. A network example. 6.3. Examples. 6.4. Multi-level architecture -- ch. 7. Reflections. 7.1. Generalities on PoT. 7.2. Substance in PoT. 7.3. Change in PoT -- ch. 8. Doubts and certainties.
Abstract:
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.
Genre:
Electronic Access:
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