Download or read book Calculus for Cognitive Scientists written by James K. Peterson and published by Springer. This book was released on 2016-02-04 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-study program on how mathematics, computer science and science can be usefully and seamlessly intertwined. Learning to use ideas from mathematics and computation is essential for understanding approaches to cognitive and biological science. As such the book covers calculus on one variable and two variables and works through a number of interesting first-order ODE models. It clearly uses MatLab in computational exercises where the models cannot be solved by hand, and also helps readers to understand that approximations cause errors – a fact that must always be kept in mind.
Download or read book Calculus for Cognitive Scientists written by James K. Peterson and published by Springer. This book was released on 2018-12-09 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-study program on how mathematics, computer science and science can be profitably and seamlessly intertwined. This book focuses on two variable ODE models, both linear and nonlinear, and highlights theoretical and computational tools using MATLAB to explain their solutions. It also shows how to solve cable models using separation of variables and the Fourier Series.
Download or read book Calculus of Thought written by Daniel M Rice and published by Academic Press. This book was released on 2013-10-15 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus of Thought: Neuromorphic Logistic Regression in Cognitive Machines is a must-read for all scientists about a very simple computation method designed to simulate big-data neural processing. This book is inspired by the Calculus Ratiocinator idea of Gottfried Leibniz, which is that machine computation should be developed to simulate human cognitive processes, thus avoiding problematic subjective bias in analytic solutions to practical and scientific problems. The reduced error logistic regression (RELR) method is proposed as such a "Calculus of Thought." This book reviews how RELR's completely automated processing may parallel important aspects of explicit and implicit learning in neural processes. It emphasizes the fact that RELR is really just a simple adjustment to already widely used logistic regression, along with RELR's new applications that go well beyond standard logistic regression in prediction and explanation. Readers will learn how RELR solves some of the most basic problems in today’s big and small data related to high dimensionality, multi-colinearity, and cognitive bias in capricious outcomes commonly involving human behavior. Provides a high-level introduction and detailed reviews of the neural, statistical and machine learning knowledge base as a foundation for a new era of smarter machines Argues that smarter machine learning to handle both explanation and prediction without cognitive bias must have a foundation in cognitive neuroscience and must embody similar explicit and implicit learning principles that occur in the brain
Download or read book Interdisciplinary Perspectives on Math Cognition written by Marcel Danesi and published by Springer Nature. This book was released on 2019-09-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding. This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.
Download or read book A Calculus of Ideas written by Ulf Grenander and published by World Scientific. This book was released on 2012 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Understanding Cognitive Science written by Michael McTear and published by . This book was released on 1988 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Calculus of Ideas written by Ulf Grenander and published by . This book was released on 2012 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Calculus Of Ideas A A Mathematical Study Of Human Thought written by Ulf Grenander and published by World Scientific. This book was released on 2012-08-10 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Cognitive Science written by David Green and published by Wiley-Blackwell. This book was released on 1996-05-08 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new text introduces students to the concepts, methods and findings fundamental to the science of mind. It is the first genuine textbook introduction to cognitive science, and in presenting a comprehensive account of the discipline, it encourages critical thinking by presenting alternative views. The textbook grounds theoretical issues by reference to a concrete scenario throughout each chapter: a family conversing over breakfast. The opening chapters discuss the emergence and nature of cognitive science and core concept of the discipline, and introduce the topics of succeeding chapters in the context of the scenario. No single text can hope to cover the diversity and breadth of research and so succeeding chapters are exemplars of the discipline.
Download or read book Human Reasoning and Cognitive Science written by Keith Stenning and published by MIT Press. This book was released on 2012-01-13 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new proposal for integrating the employment of formal and empirical methods in the study of human reasoning. In Human Reasoning and Cognitive Science, Keith Stenning and Michiel van Lambalgen—a cognitive scientist and a logician—argue for the indispensability of modern mathematical logic to the study of human reasoning. Logic and cognition were once closely connected, they write, but were “divorced” in the past century; the psychology of deduction went from being central to the cognitive revolution to being the subject of widespread skepticism about whether human reasoning really happens outside the academy. Stenning and van Lambalgen argue that logic and reasoning have been separated because of a series of unwarranted assumptions about logic. Stenning and van Lambalgen contend that psychology cannot ignore processes of interpretation in which people, wittingly or unwittingly, frame problems for subsequent reasoning. The authors employ a neurally implementable defeasible logic for modeling part of this framing process, and show how it can be used to guide the design of experiments and interpret results.
Download or read book Mind Body World written by Michael R. W. Dawson and published by Athabasca University Press. This book was released on 2013 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cognitive science arose in the 1950s when it became apparent that a number of disciplines, including psychology, computer science, linguistics, and philosophy, were fragmenting. Perhaps owing to the field's immediate origins in cybernetics, as well as to the foundational assumption that cognition is information processing, cognitive science initially seemed more unified than psychology. However, as a result of differing interpretations of the foundational assumption and dramatically divergent views of the meaning of the term information processing, three separate schools emerged: classical cognitive science, connectionist cognitive science, and embodied cognitive science. Examples, cases, and research findings taken from the wide range of phenomena studied by cognitive scientists effectively explain and explore the relationship among the three perspectives. Intended to introduce both graduate and senior undergraduate students to the foundations of cognitive science, Mind, Body, World addresses a number of questions currently being asked by those practicing in the field: What are the core assumptions of the three different schools? What are the relationships between these different sets of core assumptions? Is there only one cognitive science, or are there many different cognitive sciences? Giving the schools equal treatment and displaying a broad and deep understanding of the field, Dawson highlights the fundamental tensions and lines of fragmentation that exist among the schools and provides a refreshing and unifying framework for students of cognitive science.
Download or read book Cognitive Science written by George F. Luger and published by Academic Press. This book was released on 1994-05-25 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interdisciplinary field of cognitive science brings together elements of cognitive psychology, mathematics, perception, linguistics, and artificial intelligence. Given this breadth, textbooks have had difficulty providing balanced coverage-most resort to disjointed edited treatises that prove difficult to use. Cognitive Science provides a unified and comprehensive look at the field, from foundations to applications. Luger explores the logical and philosophical bases of cognitive science with multiple models of intelligence, including neural networks and connectionism. Practical programming examples are included along with an introduction to PROLOG.
Download or read book Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being written by George Lakoff and published by . This book was released on 2000-11-02 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of the cognitive science of mathematical ideas.
Download or read book Neurocognitive Mechanisms written by Gualtiero Piccinini and published by Oxford University Press, USA. This book was released on 2020-10-08 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gualtiero Piccinini presents a systematic and rigorous philosophical defence of the computational theory of cognition. His view posits that cognition involves neural computation within multilevel neurocognitive mechanisms, and includes novel ideas about ontology, functions, neural representation, neural computation, and consciousness.
Download or read book Physical Computation and Cognitive Science written by Nir Fresco and published by Springer Science & Business Media. This book was released on 2013-10-12 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a study of digital computation in contemporary cognitive science. Digital computation is a highly ambiguous concept, as there is no common core definition for it in cognitive science. Since this concept plays a central role in cognitive theory, an adequate cognitive explanation requires an explicit account of digital computation. More specifically, it requires an account of how digital computation is implemented in physical systems. The main challenge is to deliver an account encompassing the multiple types of existing models of computation without ending up in pancomputationalism, that is, the view that every physical system is a digital computing system. This book shows that only two accounts, among the ones examined by the author, are adequate for explaining physical computation. One of them is the instructional information processing account, which is developed here for the first time. "This book provides a thorough and timely analysis of differing accounts of computation while advancing the important role that information plays in understanding computation. Fresco’s two-pronged approach will appeal to philosophically inclined computer scientists who want to better understand common theoretical claims in cognitive science.” Marty J. Wolf, Professor of Computer Science, Bemidji State University “An original and admirably clear discussion of central issues in the foundations of contemporary cognitive science.” Frances Egan, Professor of Philosophy, Rutgers, The State University of New Jersey
Download or read book Crisp and Soft Computing with Hypercubical Calculus written by Michael Zaus and published by Physica. This book was released on 2013-04-17 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Part I, the impact of an integro-differential operator on parity logic engines (PLEs) as a tool for scientific modeling from scratch is presented. Part II outlines the fuzzy structural modeling approach for building new linear and nonlinear dynamical causal forecasting systems in terms of fuzzy cognitive maps (FCMs). Part III introduces the new type of autogenetic algorithms (AGAs) to the field of evolutionary computing. Altogether, these PLEs, FCMs, and AGAs may serve as conceptual and computational power tools.
Download or read book Radical Embodied Cognitive Science written by Anthony Chemero and published by MIT Press. This book was released on 2011-08-19 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: A proposal for a new way to do cognitive science argues that cognition should be described in terms of agent-environment dynamics rather than computation and representation. While philosophers of mind have been arguing over the status of mental representations in cognitive science, cognitive scientists have been quietly engaged in studying perception, action, and cognition without explaining them in terms of mental representation. In this book, Anthony Chemero describes this nonrepresentational approach (which he terms radical embodied cognitive science), puts it in historical and conceptual context, and applies it to traditional problems in the philosophy of mind. Radical embodied cognitive science is a direct descendant of the American naturalist psychology of William James and John Dewey, and follows them in viewing perception and cognition to be understandable only in terms of action in the environment. Chemero argues that cognition should be described in terms of agent-environment dynamics rather than in terms of computation and representation. After outlining this orientation to cognition, Chemero proposes a methodology: dynamical systems theory, which would explain things dynamically and without reference to representation. He also advances a background theory: Gibsonian ecological psychology, “shored up” and clarified. Chemero then looks at some traditional philosophical problems (reductionism, epistemological skepticism, metaphysical realism, consciousness) through the lens of radical embodied cognitive science and concludes that the comparative ease with which it resolves these problems, combined with its empirical promise, makes this approach to cognitive science a rewarding one. “Jerry Fodor is my favorite philosopher,” Chemero writes in his preface, adding, “I think that Jerry Fodor is wrong about nearly everything.” With this book, Chemero explains nonrepresentational, dynamical, ecological cognitive science as clearly and as rigorously as Jerry Fodor explained computational cognitive science in his classic work The Language of Thought.
