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A CALCULUS OF IDEAS : 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 simul...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2012.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Foreword; Preface; Abstract; Contents; Part I An Architecture for the Mind; Chapter 1 Introduction; 1.1 A Mathematical Theory of Mind?; 1.2 Substance and Change; 1.2.1 Substance; 1.2.2 Change; 1.2.3 Patterns; Chapter 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; 2.4.1 Primitive Ideas; 2.4.2 Modalities; 2.4.3 Similarities of Ideas; 2.4.4 Compositions of Primitive Ideas; 2.4.5 Regular Thoughts; 2.4.6 Thought Patterns; 2.4.7 Completion; 2.4.8 Generalization; 2.4.9 Abstraction; 2.4.10 Caveat.
- 2.4.11 Levels, Modalities, and Arities in Mind Space2.4.12 A Concept of Concept; 2.4.13 Regularity of Mind States: Conformation of Thoughts; 2.4.14 Creation of New Ideas; 2.4.15 Patterns of Thought; 2.5 Some Thoughts in Goethe; Part II Personality of a Mind; Chapter 3 A Mind Equation; 3.1 Personality Profile; 3.1.1 The Pathological Mind; 3.1.2 An Intelligent Mind?; 3.1.3 Randomness and Thinking; 3.2 Mental Dynamics; 3.2.1 Topologies of Thinking; 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.
- 3.6.1 Mental Dynamics with Themes of Attention: Genres3.6.2 Mental Dynamics of Dreaming; 3.7 A Calculus of Thinking; 3.7.1 Speci.c Thoughts; 3.7.1.1 Conscious Thoughts; 3.7.1.2 Top-thoughts; 3.7.2 Generalization/Specialization Operation; 3.7.3 Encapsulation Operation; 3.7.4 Completion Operation; 3.7.5 Genre Operation; 3.7.6 Inference Process; 3.8 Birth and Death of Thoughts; 3.8.1 Competition among Unconscious Thoughts; Part III Two Personalities; Chapter 4 Building a GOLEM, a Thinking Machine; 4.1 Data Structures for the Mind; 4.1.1 Data Structures for Elementary Ideas.
- 4.1.2 Data Structures for Thoughts4.1.3 Energies of Thoughts and Genres; 4.1.4 Composite Moves; 4.2 Program Hierarchy for the Mind; 4.3 Putting It All Together; 4.4 A GOLEM Alive?; 4.4.1 Free Associations; 4.4.2 Inferential Thinking; 4.4.3 Associations Driven by Themes; 4.4.4 Continuous Thought; 4.4.5 See Created Ideas; 4.5 Drivers; 4.5.1 Generalizing Top-Ideas; 4.6 Judging the Behavior of GOLEM; 4.6.1 Analysis of a Virtual MIND; 4.7 Not Yet Implemented; 4.8 LEGACY; 4.9 Assembling Mental Pattern Parameters; 4.10 Running the LEGACY; Chapter 5 As Thinking Develops.
- 5.1 Changes in Personality Parameter5.2 Development of a Young Mind; 5.3 GOLEM Evolves; Part IV Realizing a Mind; Chapter 6 MIND and Brain; 6.1 Connect to the Brain?; 6.1.1 Simple Ideas as Building Blocks; 6.1.2 Connections between Simple Ideas; 6.1.3 Thoughts are Formed from Simple Ideas; 6.1.4 Weight and Acceptor Functions; 6.1.5 Joint Probability Measure for Thoughts; 6.1.6 Properties of SSF; 6.1.7 Updating the Personality; 6.1.8 Processing Thoughts; 6.2 A Network Example; 6.2.1 Concept Formation on the Neural Level; 6.3 Examples; 6.3.1 The p-Cliques under Free Associations.
- 6.3.2 Kantian Thinking.