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Memory Evolutive Systems; Hierarchy, Emergence, Cognition -  A C Ehresmann,  J.P. Vanbremeersch

Memory Evolutive Systems; Hierarchy, Emergence, Cognition (eBook)

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2007 | 1. Auflage
402 Seiten
Elsevier Science (Verlag)
978-0-08-055541-6 (ISBN)
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The theory of Memory Evolutive Systems represents a mathematical model for natural open self-organizing systems, such as biological, sociological or neural systems. In these systems, the dynamics are modulated by the cooperative and/or competitive interactions between the global system and a net of internal Centers of Regulation (CR) wich a differential access to a central heirarchical Memory.

The MES proposes a mathematical model for autonomous evolutionary systems and is based on the Category Theory of mathematics. It provides a framework to study and possibly simulate the structre of living systems and their dynamic behavior. MES explores what characterizes a complex evolutionary system, what distinguishes it from inanimate physical systems, its functioning and evolution in time, from its birth to its death.

The behavior of this type of system depends heavily on its former experiences, and a model representing the system over a period of time, could anticipate later behavior and perhaps even predict some evolutionary alternatives.

The role of the MES model will be two-fold: theoretical, for a comprehension of a fundamental nature and practical, for applications in biology, medicine, sociology, ecology, economy, meteorology, and other sciences.

Key Features:
*Comprehensive and comprehensible coverage of Memory Evolutive System
*Written by the developers of the Memory Evolutive Systems
*Designed to explore the common language between sciences
Memory Evolutive Systems; Hierarchy, Emergence, Cognition provides comprehensive and comprehensible coverage of Memory Evolutive Systems (MEM). Written by the developers of the MEM, the book proposes a mathematical model for autonomous evolutionary systems based on the Category Theory of mathematics. It describes a framework to study and possibly simulate the structure of living systems and their dynamic behavior. This book contributes to understanding the multidisciplinary interfaces between mathematics, cognition, consciousness, biology and the study of complexity. It is organized into three parts. Part A deals with hierarchy and emergence and covers such topics as net of interactions and categories; the binding problem; and complexifications and emergence. Part B is about MEM while Part C discusses MEM applications to cognition and consciousness. The book explores the characteristics of a complex evolutionary system, its differences from inanimate physical systems, and its functioning and evolution in time, from its birth to its death. This book is an ideal reference for researchers, teachers and students in pure mathematics, computer science, cognitive science, study of complexity and systems theory, Category Theory, biological systems theory, and consciousness theory. It would also be of interest to both individuals and institutional libraries. Comprehensive and comprehensible coverage of Memory Evolutive System Written by the developers of the Memory Evolutive Systems Designed to explore the common language between sciences

Cover 1
Table of Contents 8
Introduction 18
1. Motivations 18
2. Why Resort to a Model? 20
3. Two Representative Examples 23
4. How Does the Model Function? 26
5. Plan of the Book 30
Acknowledgements 32
Part A. Hierarchy and Emergence 34
Chapter 1. Nets of Interactions and Categories 38
1. Systems Theory and Graphs 39
2. Categories and Functors 42
3. Categories in Systems Theory 49
4. Construction of a Category by Generators and Relations 54
5. Mathematical Examples of Categories 59
Chapter 2. The Binding Problem 66
1. Patterns and Their Collective Links 66
2. Colimit of a Pattern 73
3. Integration vs. Juxtaposition 79
4. Interlude: A Transport Network 85
Chapter 3. Hierarchy and Reductionism 90
1. P-Factors of a Link Towards a Complex Object 90
2. Interactions between Patterns: Simple Links 97
3. Representative Sub-Patterns 102
4. Multiplicity Principle 106
5. Hierarchies 111
6. Complexity Order of an Object: Reductionism 119
Chapter 4. Complexification and Emergence 126
1. Transformation and Preservation of Colimits 127
2. Different Types of Complexifications 134
3. First Steps of the Complexification 138
4. Construction of the Complexification 142
5. Properties of the Complexification 145
6. Successive Complexifications: Based Hierarchies 148
7. Discussion of the Emergence Problem 155
Part B. Memory Evolutive Systems 160
Chapter 5. Evolutive Systems 164
1. Mechanical Systems vs. Living Systems 164
2. Characteristics of an Evolutive System 167
3. Evolutive Systems 170
4. Hierarchical Evolutive Systems and Some Examples 178
5. Stability Span and Temporal Indices 180
6. Complement: Fibration Associated to an Evolutive System 188
Chapter 6. Internal Regulation and Memory Evolutive Systems 192
1. Regulatory Organs in Autonomous Systems 193
2. Memory and Learning 197
3. Structure of Memory Evolutive Systems 200
4. Local Dynamics of a Memory Evolutive System 205
5. Global Dynamics of a Memory Evolutive System 217
6. Some Biological Examples 220
7. Examples at the Level of Societies and Ecosystems 224
Chapter 7. Robustness, Plasticity and Aging 230
1. Fractures and Dyschrony 230
2. Dialectics between Heterogeneous Co-Regulators 234
3. Comparison with Simple Systems 241
4. Some Philosophical Remarks 245
5. Replication with Repair of DNA 248
6. A Theory of Aging 251
Chapter 8. Memory and Learning 262
1. Formation of Records 262
2. Development of the Memory 267
3. Procedural Memory 270
4. Functioning of the Procedural Memory 276
5. Selection of Admissible Procedures 279
6. Operative Procedure and Evaluation 282
7. Semantic Memory 286
8. Some Epistemological Remarks 297
Part C. Application to Cognition and Consciousness 302
Chapter 9. Cognition and Memory Evolutive Neural Systems 304
1. A Brief Overview of Neurobiology 304
2. Categories of Cat-Neurons 309
3. The Hierarchical Evolutive System of Cat-Neurons 314
4. The Memory Evolutive Neural System 319
5. Development of the Memory via the Co-Regulators 324
6. Applications 332
Chapter 10. Semantics, Archetypal Core and Consciousness 338
1. Semantic Memory 338
2. Archetypal Core 349
3. Conscious Processes 354
4. Some Remarks on Consciousness 361
5. A Brief Summary 365
Appendix 370
Bibliography 378
List of Figures 396
Index 400

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