A calculus of ideas [[electronic resource] ] : a mathematical study of human thought / / Ulf Grenander

• Autore: Grenander Ulf
• Pubblicazione: Singapore ; ; Hackensack, N.J., : World Scientific, c2012
• Descrizione fisica: 1 online resource (236 p.)
• Disciplina: 128/.2; 153.0151
• Soggetto topico: Algorithms; Cognition; Cognitive science
• Soggetto genere / forma: Electronic books.
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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
• Sommario/riassunto: 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.
• Titolo autorizzato: A calculus of ideas
• ISBN: 1-283-85072-9; 981-4383-19-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910464781903321
• Lo trovi qui: Univ. Federico II