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Computation, Dynamics, and Cognition.
Currently there is growing interest in the application of dynamical methods to the study of cognition. Computation, Dynamics, and Cognition investigates this convergence from a theoretical and philosophical perspective, generating a provocative new view of the aims and methods of cognitivescience. A...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cary :
Oxford University Press,
1997.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ONE: Mathematical Dynamical Systems and Computational Systems; 1 Introduction; 2 Mathematical dynamical systems; 3 Computational systems; 4 The emulation relation; 5 Reversible versus irreversible systems; 6 The realization relation; 7 Virtual systems, the reversible realizability of irreversible systems, and the existence of reversible universal systems; 8 Appendix: Proofs of selected theorems; Notes; TWO: Generalized Computational Systems; 1 Introduction; 2 Turing machines on pattern field F.
- 3 Is the concept of computability on pattern field F reducible to the usual concept of Turning computability?4 Is a nonrecursive pattern field necessary for computing nonrecursive functions?; 5 The concept of computability on pattern field F is a generalization of the usual concept of computability; 6 Computational systems on pattern field F; 7 Appendix: Proofs of selected theorems; Notes; THREE: Galilean Models and Explanations; 1 Introduction; 2 Real dynamical systems versus mathematical dynamical systems; 3 Models of K-systems.
- 4 Galilean explanations and the traditional practice of dynamical modeling5 Galilean explanations are based on Galilean models of K-systems; 6 Galilean frameworks of K-systems; 7 Explicit versus implicit specification of the set of state transitions of a possible Galilean model of a K-system; 8 The inductive method for constructing Galilean frameworks of K-systems; 9 The deductive method for constructing Galilean frameworks of K-systems; 10 Appendix: Proofs of selected theorems; Notes; FOUR: Cognitive Systems and the Scientific Explanation of Cognition; 1 Introduction.
- 2 Cognitive systems as dynamical systems2.1 All cognitive systems are dynamical systems: the meaning; 2.2 All cognitive systems are dynamical systems: the argument; 3 Two conceptual repertoires for the explanation of cognition: computation theory and dynamical systems theory; 3.1 Dynamical systems theory and the explanation of cognition based on symbolic models; 3.2 Computation theory and the explanation of cognition based on neural networks or other continuous dynamical models; 4 Cognitive systems and their models; 4.1 Simulation models of cognitive systems.
- 4.2 Galilean models of cognitive systems4.3 A new possibility for cognitive science: P-explanatory and correct Galilean frameworks of cognitive systems; 4.4 The Galilean approach to cognitive science; Notes; References; Index; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; Q; R; S; T; V; W.