A New Foundation For Representation In Cognitive And Brain Science

The purpose of the book is to advance in the understanding of brain function by defining a general framework for representation based on category theory. The idea is to bring this mathematical formalism into the domain of neural representation of physical spaces, setting the basis for a theory of mental representation, able to relate empirical findings, uniting them into a sound theoretical corpus. The innovative approach presented in the book provides a horizon of interdisciplinary collaboration that aims to set up a common agenda that synthesizes mathematical formalization and empirical procedures in a systemic way. Category theory has been successfully applied to qualitative analysis, mainly in theoretical computer science to deal with programming language semantics. Nevertheless, the potential of category theoretic tools for quantitative analysis of networks has not been tackled so far. Statistical methods to investigate graph structure typically rely on network parameters. Category theory can be seen as an abstraction of graph theory. Thus, new categorical properties can be added into network analysis and graph theoretic constructs can be accordingly extended in more fundamental basis. By generalizing networks using category theory we can address questions and elaborate answers in a more fundamental way without waiving graph theoretic tools. The vital issue is to establish a new framework for quantitative analysis of networks using the theory of categories, in which computational neuroscientists and network theorists may tackle in more efficient ways the dynamics of brain cognitive networks. The intended audience of the book is researchers who wish to explore the validity of mathematical principles in the understanding of cognitive systems. All the actors in cognitive science: philosophers, engineers, neurobiologists, cognitive psychologists, computer scientists etc. are akin to discover along its pages new unforeseen connections through the development of concepts and formal theories described in the book. Practitioners of both pure and applied mathematics e.g., network theorists, will be delighted with the mapping of abstract mathematical concepts in the terra incognita of cognition.

urrently a paradigm shift is occurring in for the conventional understanding of represen- which the traditional view of the brain as tions. The paper also summarizes the rationale for C representing the "things of the world" is the selection of contributions to this volume, which challenged in several respects. The present volume will roughly proceed from relatively "realist" c- is placed at the edge of this transition. Based on the ceptions of representation to more "constructivist" 1997 conference "New Trends in Cognitive Sci- interpretations. The final chapter of discussions, ence" in Vienna, Austria, it tries to collect and in- taped during and at the end of the conference, p- grate evidence from various disciplines such as p- vides the reader with the possibility to reflect upon losophy of science, neuroscience, computational the different approaches and thus contributes to b- approaches, psychology, semiotics, evolutionary ter and more integrative understanding of their biology, social psychology etc. , to foster a new thoughts and ideas. understanding of representation. The subjective experience of an outside world This book has a truly interdisciplinary character. It seems to suggest a mapping process where environ- is presented in a form that is readily accessible to mental entities are projected into our mind via some professionals and students alike across the cognitive kind of transmission. While a profound critique of sciences such as neuroscience, computer science, this idea is nearly as old as philosophy, it has gained philosophy, psychology, and sociology.

O Nuallain concludes that a science that fully attempts to treat cognition must remain au fait with the findings from all other approaches to the study of mind, from the purely behaviorist to the purely experiential."--BOOK JACKET.

What is cognitive science? The Foundations of Cognitive Science answers this question in a way that gives a feeling for the excitement, ferment, and accomplishments of this new field. It is the first broad treatment of cognitive science at an advanced level. Complete and authoritative, The Foundations of Cognitive Science covers the major architectures; provides background in philosophy linguistics, cognitive psychology, and neuroscience; and deals with methods for studying both brain and mind. All of the chapters have been written especially for the book by the leading scholars in the field. The foundations of cognitive science are developed in seven chapters covering computation, symbolic architectures, parallel distributed processing, grammars, semantics and formal logic, experimental cognitive science, and brain and cognition. These are then applied to the major cognitive domains of language acquisition, reading, discourse, mental models, categories and induction, problem solving, vision, visual attention, memory, action and motor control. The Foundations of Cognitive Science concludes with an assessment by a philosopher and a cognitive anthropologist. Michael I. Posner is Professor of Psychology at the University of Oregon. A Bradford Book. Contributors: Herbert A. SimonCraig A. KaplanZenon W. PylyshynAllen NewellJohn E. LairdPaul S. RosenbloomDavid E. RumelhartThomas WasowJon BarwiseJohn EtchemendyGordon H. BawerJohn P. ClapperTerrence J. SejnowskiPatricia Smith ChurchlandSteven PinkerAlexander PollatsekKeith RaynerBarbara J. GroszCandace L. SidnerMartha E. PollackP. N. Johnson-LairdEdward E. SmithKurt VanLehnEllen C. HildrethShimon UllmanAlan AllportDaniel L. SchacterDavid A. RosenbaumMichael I. JordanE. BizziF. A. Mussa IvaldiRoy D'AndradeGilbert Harman Contents: Computation, Symbolic Architectures, Parallel Distributed Processing, Grammars, Semantics and Formal Logic, Experimental Cognitive Science, Brain and Cognition, Language Acquisition, Reading, Discourse, Mental Models, Categories and Induction, Problem Solving, Vision, Visual Attention, Memory, Action, Motor Control, Culture, Philosophical Critique

Cognitive Science is a major new guide to the central theories and problems in the study of the mind and brain. The authors clearly explain how and why cognitive science aims to understand the brain as a computational system that manipulates representations. They identify the roots of cognitive science in Descartes - who argued that all knowledge of the external world is filtered through some sort of representation - and examine the present-day role of Artificial Intelligence, computing, psychology, linguistics and neuroscience. Throughout, the key building blocks of cognitive science are clearly illustrated: perception, memory, attention, emotion, language, control of movement, learning, understanding and other important mental phenomena. Cognitive Science: presents a clear, collaborative introduction to the subject is the first textbook to bring together all the different strands of this new science in a unified approach includes illustrations and exercises to aid the student

Cognitive science approaches the study of mind and intelligence from an interdisciplinary perspective, working at the intersection of philosophy, psychology, artificial intelligence, neuroscience, linguistics, and anthropology. With Mind, Paul Thagard offers an introduction to this interdisciplinary field for readers who come to the subject with very different backgrounds. It is suitable for classroom use by students with interests ranging from computer science and engineering to psychology and philosophy. Thagard's systematic descriptions and evaluations of the main theories of mental representation advanced by cognitive scientists allow students to see that there are many complementary approaches to the investigation of mind. The fundamental theoretical perspectives he describes include logic, rules, concepts, analogies, images, and connections (artificial neural networks). The discussion of these theories provides an integrated view of the different achievements of the various fields of cognitive science. This second edition includes substantial revision and new material. Part I, which presents the different theoretical approaches, has been updated in light of recent work the field. Part II, which treats extensions to cognitive science, has been thoroughly revised, with new chapters added on brains, emotions, and consciousness. Other additions include a list of relevant Web sites at the end of each chapter and a glossary at the end of the book. As in the first edition, each chapter concludes with a summary and suggestions for further reading.

Despite dramatic advances in neuroimaging techniques, patient-based analyses of brain disorders continue to offer important insights into the functioning of the normal brain. Bridging the gap between the work of neurologists studying clinical disorders and neuroscientists studying the neural mechanisms underlying normal cognition, this book reviews classical neurobehavioral syndromes from both neurological and cognitive scientific perspectives. (Midwest).