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The Algebraic Mind : Integrating Connectionism and Cognitive Science - Gary F. Marcus

The Algebraic Mind

Integrating Connectionism and Cognitive Science

Paperback Published: 1st March 2003
ISBN: 9780262632683
Number Of Pages: 240
For Ages: 18+ years old

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In "The Algebraic Mind," Gary Marcus attempts to integrate two theories about how the mind works, one that says that the mind is a computer-like manipulator of symbols, and another that says that the mind is a large network of neurons working together in parallel. Resisting the conventional wisdom that says that if the mind is a large neural network it cannot simultaneously be a manipulator of symbols, Marcus outlines a variety of ways in which neural systems could be organized so as to manipulate symbols, and he shows why such systems are more likely to provide an adequate substrate for language and cognition than neural systems that are inconsistent with the manipulation of symbols. Concluding with a discussion of how a neurally realized system of symbol-manipulation could have evolved and how such a system could unfold developmentally within the womb, Marcus helps to set the future agenda of cognitive neuroscience.

Industry Reviews

In The Algebraic Mind, Marcus dives into the difficult waters of the connectionist-symbolic debate.

-Kenneth J. Kurtz , Cognitive Sciences Society Newsletter

Series Forewordp. ix
Prefacep. xi
Cognitive Architecturep. 1
Previewp. 2
Disclaimersp. 6
Multilayer Perceptronsp. 7
How Multilayer Perceptrons Workp. 7
Examplesp. 20
How Multilayer Perceptrons Have Figured in Discussions of Cognitive Architecturep. 25
The Appeal of Multilayer Perceptronsp. 27
Symbols, Symbol-Manipulators, and Multilayer Perceptronsp. 31
Relations between Variablesp. 35
The Relation between Multilayer Perceptron Models and Rules: Refining the Questionp. 35
Multilayer Perceptrons and Operations over Variablesp. 41
Alternative Ways of Representing Bindings between Variables and Instancesp. 50
Case Study 1: Artificial Grammars in Infancyp. 59
Case Study 2: Linguistic Inflectionp. 68
Structured Representationsp. 85
Structured Knowledge in Multilayer Perceptronsp. 85
Challenges to the Idea That the Mind Devotes Separate Representational Resources to Each Subject-Predicate Relation That Is Representedp. 90
Proposals for Implementing Recursive Combinations in a Neural Substratep. 95
A New Proposalp. 108
Discussionp. 116
Individualsp. 119
Multilayer Perceptronsp. 121
Object Permanencep. 128
Systems That Represent Kinds Distinctly from Individualsp. 133
Records and Propositionsp. 135
Neural Implementationp. 140
Where Does the Machinery of Symbol Manipulation Come From?p. 143
Could Symbol-Manipulation Be Innate?p. 143
Could Symbol-Manipulation Be Adaptive?p. 146
How Symbol-Manipulation Could Growp. 155
Conclusionsp. 169
Notesp. 175
Glossaryp. 185
Referencesp. 195
Name Indexp. 211
Subject Indexp. 217
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9780262632683
ISBN-10: 0262632683
Series: Learning, Development, and Conceptual Change Series
Audience: Professional
For Ages: 18+ years old
Format: Paperback
Language: English
Number Of Pages: 240
Published: 1st March 2003
Publisher: MIT Press Ltd
Country of Publication: US
Dimensions (cm): 22.23 x 14.61  x 1.91
Weight (kg): 0.35