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Structures Meres Semantics Mathematics And Cognitive Science
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Book Synopsis Structures Mères: Semantics, Mathematics, and Cognitive Science by : Alberto Peruzzi
Download or read book Structures Mères: Semantics, Mathematics, and Cognitive Science written by Alberto Peruzzi and published by Springer Nature. This book was released on 2020-09-14 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on cutting-edge concepts related to Bourbaki’s notion of structures mères. It merges perspectives from logic, philosophy, linguistics and cognitive science, suggesting how they can be combined with Bourbaki’s mathematical structuralism in order to solve foundational, ontological and epistemological problems using a novel category-theoretic approach. By offering a comprehensive account of Bourbaki’s structuralism and answers to several important questions that have arisen in connection with it, the book provides readers with a unique source of information and inspiration for future research on this topic.
Book Synopsis Morphogenesis of Symbolic Forms: Meaning in Music, Art, Religion, and Language by : Wolfgang Wildgen
Download or read book Morphogenesis of Symbolic Forms: Meaning in Music, Art, Religion, and Language written by Wolfgang Wildgen and published by Springer Nature. This book was released on 2023-03-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present book, the starting line is defined by a morphogenetic perspective on human communication and culture. The focus is on visual communication, music, religion (myth), and language, i.e., on the “symbolic forms” at the heart of human cultures (Ernst Cassirer). The term “morphogenesis” has more precisely the meaning given by René Thom (1923-2002) in his book “Morphogenesis and Structural Stability” (1972) and the notions of “self-organization” and cooperation of subsystems in the “Synergetics” of Hermann Haken (1927- ). The naturalization of communication and cultural phenomena is the favored strategy, but the major results of the involved disciplines (art history, music theory, religious science, and linguistics) are respected. Visual art from the Paleolithic to modernity stands for visual communication. The present book focuses on studies of classical painting and sculpture (e.g., Leonardo da Vinci, William Turner, and Henry Moore) and modern art (e.g., Jackson Pollock and Joseph Beuys). Musical morphogenesis embraces classical music (from J. S. Bach to Arnold Schönberg) and political songwriting (Bob Dylan, Leonhard Cohen). The myths of pre-literary societies show the effects of self-organization in the re-assembly (bricolage) of traditions. Classical polytheistic and monotheistic religions demonstrate the unfolding of basic germs (religious attractors) and their reduction in periods of crisis, the self-organization of complex religious networks, and rationalized macro-structures (in theologies). Significant tendencies are analyzed in the case of Buddhism and Christianism. Eventually, a holistic view of symbolic communication and human culture emerges based on state-of-the-art in evolutionary biology, cognitive science, linguistics, and semiotics (philosophy of symbolic forms).
Book Synopsis Diagrams and Gestures by : Francesco La Mantia
Download or read book Diagrams and Gestures written by Francesco La Mantia and published by Springer Nature. This book was released on 2023-09-16 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing a line, and then another, and another. Go back from the lines to the movements they capture and see gestures in them: not spatial displacements, but modes of knowledge that pass through the exercise of the body. Discovering something new in a gesture: the line that contracts into a point or the point that expands into a zone, perhaps sinking into a hole. Thus experiencing a diagram: a becoming other inscribed in the novelty of the gesture and in the changes of the forms it shapes. This and much more is discussed in the essays gathered in Diagrams and Gestures. Resulting from trans-disciplinary work between mathematicians, philosophers, linguists and semioticians, the volume delivers an up-to-date account of the most valuable research on the connections between gesture and diagram. As one of the most important themes in contemporary thought, the study of these connections poses a challenge for the future: to elaborate a theory that is equal to new and stimulating research methodologies. We call this theory a philosophy of diagrammatic gestures.
Book Synopsis Cognitive Science and Mathematics Education by : Alan H. Schoenfeld
Download or read book Cognitive Science and Mathematics Education written by Alan H. Schoenfeld and published by Psychology Press. This book was released on 1987 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1987. Routledge is an imprint of Taylor & Francis, an informa company.
Book Synopsis Structures and Algorithms by : Jens Erik Fenstad
Download or read book Structures and Algorithms written by Jens Erik Fenstad and published by Springer. This book was released on 2018-03-10 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains exactly what human knowledge is. The key concepts in this book are structures and algorithms, i.e., what the readers “see” and how they make use of what they see. Thus in comparison with some other books on the philosophy (or methodology) of science, which employ a syntactic approach, the author’s approach is model theoretic or structural. Properly understood, it extends the current art and science of mathematical modeling to all fields of knowledge. The link between structure and algorithms is mathematics. But viewing “mathematics” as such a link is not exactly what readers most likely learned in school; thus, the task of this book is to explain what “mathematics” should actually mean. Chapter 1, an introductory essay, presents a general analysis of structures, algorithms and how they are to be linked. Several examples from the natural and social sciences, and from the history of knowledge, are provided in Chapters 2–6. In turn, Chapters 7 and 8 extend the analysis to include language and the mind. Structures are what the readers see. And, as abstract cultural objects, they can almost always be seen in many different ways. But certain structures, such as natural numbers and the basic theory of grammar, seem to have an absolute character. Any theory of knowledge grounded in human culture must explain how this is possible. The author’s analysis of this cultural invariance, combining insights from evolutionary theory and neuroscience, is presented in the book’s closing chapter. The book will be of interest to researchers, students and those outside academia who seek a deeper understanding of knowledge in our present-day society.
Book Synopsis Conceptual Spaces by : Peter Gardenfors
Download or read book Conceptual Spaces written by Peter Gardenfors and published by MIT Press. This book was released on 2004-01-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within cognitive science, two approaches currently dominate the problem of modeling representations. The symbolic approach views cognition as computation involving symbolic manipulation. Connectionism, a special case of associationism, models associations using artificial neuron networks. Peter Gärdenfors offers his theory of conceptual representations as a bridge between the symbolic and connectionist approaches. Symbolic representation is particularly weak at modeling concept learning, which is paramount for understanding many cognitive phenomena. Concept learning is closely tied to the notion of similarity, which is also poorly served by the symbolic approach. Gärdenfors's theory of conceptual spaces presents a framework for representing information on the conceptual level. A conceptual space is built up from geometrical structures based on a number of quality dimensions. The main applications of the theory are on the constructive side of cognitive science: as a constructive model the theory can be applied to the development of artificial systems capable of solving cognitive tasks. Gärdenfors also shows how conceptual spaces can serve as an explanatory framework for a number of empirical theories, in particular those concerning concept formation, induction, and semantics. His aim is to present a coherent research program that can be used as a basis for more detailed investigations.
Book Synopsis Conceptual Spaces: Elaborations and Applications by : Mauri Kaipainen
Download or read book Conceptual Spaces: Elaborations and Applications written by Mauri Kaipainen and published by Springer. This book was released on 2019-06-25 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book focuses on concepts and their applications using the theory of conceptual spaces, one of today’s most central tracks of cognitive science discourse. It features 15 papers based on topics presented at the Conceptual Spaces @ Work 2016 conference. The contributors interweave both theory and applications in their papers. Among the first mentioned are studies on metatheories, logical and systemic implications of the theory, as well as relations between concepts and language. Examples of the latter include explanatory models of paradigm shifts and evolution in science as well as dilemmas and issues of health, ethics, and education. The theory of conceptual spaces overcomes many translational issues between academic theoretization and practical applications. The paradigm is mainly associated with structural explanations, such as categorization and meronomy. However, the community has also been relating it to relations, functions, and systems. The book presents work that provides a geometric model for the representation of human conceptual knowledge that bridges the symbolic and the sub-conceptual levels of representation. The model has already proven to have a broad range of applicability beyond cognitive science and even across a number of disciplines related to concepts and representation.
Book Synopsis Cognitive Structural Realism by : Majid Davoody Beni
Download or read book Cognitive Structural Realism written by Majid Davoody Beni and published by Springer. This book was released on 2019-01-29 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author develops a new form of structural realism and deals with the problem of representation. The work combines two distinguished developments of the Semantic View of Theories, namely Structural Realism (SR), a flourishing theory from contemporary philosophy of science, and Ronald Giere and colleagues’ Cognitive Models of Science approach (CMSA). Readers will see how replacing the model-theoretic structures that are at issue in SR with connectionist networks and activations patterns (which are the formal tools of computational neuroscience) helps us to deal with the problem of representation. The author suggests that cognitive structures are not only the precise formal tools for regimenting the structure of scientific theories but also the tools that the biological brain uses to capture the essential features (i.e., structures) of its environment. Therefore, replacing model-theoretic structures with cognitive structures allows us to account for the theories-reality relationship on the basis of the most reliable theories of neurology. This is how a new form of SR, called Cognitive Structural Realism (CSR) is introduced through this book, which articulates and defends CSR, and shows how two diverging branches of SVT can be reconciled. This ground-breaking work will particularly appeal to people who work in the philosophy of science, philosophy of mind and cognitive sciences.
Book Synopsis Quantifiers and Cognition by : Jakub Szymanik
Download or read book Quantifiers and Cognition written by Jakub Szymanik and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume on the semantic complexity of natural language explores the question why some sentences are more difficult than others. While doing so, it lays the groundwork for extending semantic theory with computational and cognitive aspects by combining linguistics and logic with computations and cognition. Quantifier expressions occur whenever we describe the world and communicate about it. Generalized quantifier theory is therefore one of the basic tools of linguistics today, studying the possible meanings and the inferential power of quantifier expressions by logical means. The classic version was developed in the 1980s, at the interface of linguistics, mathematics and philosophy. Before this volume, advances in "classic" generalized quantifier theory mainly focused on logical questions and their applications to linguistics, this volume adds a computational component, the third pillar of language use and logical activity. This book is essential reading for researchers in linguistics, philosophy, cognitive science, logic, AI, and computer science.
Book Synopsis Teaching and Learning Patterns in School Mathematics by : Ferdinand Rivera
Download or read book Teaching and Learning Patterns in School Mathematics written by Ferdinand Rivera and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book synthesizes research findings on patterns in the last twenty years or so in order to argue for a theory of graded representations in pattern generalization. While research results drawn from investigations conducted with different age-level groups have sufficiently demonstrated varying shifts in structural awareness and competence, which influence the eventual shape of an intended generalization, such shifts, however, are not necessarily permanent due to other pertinent factors such as the complexity of patterning tasks. The book proposes an alternative view of pattern generalization, that is, one that is not about shifts or transition phases but graded depending on individual experiences with target patterns. The theory of graded representations involving pattern generalization offers a much more robust understanding of differences in patterning competence since it is sensitive to varying levels of entry into generalization. Empirical evidence will be provided to demonstrate this alternative view, which is drawn from the author’s longitudinal work with elementary and middle school children, including several investigations conducted with preservice elementary majors. Two chapters of the book will be devoted to extending pattern generalization activity to arithmetic and algebraic learning of concepts and processes. The concluding chapter addresses the pedagogical significance of pattern learning in the school mathematics curriculum.
Book Synopsis The Structure of Thinking by : Laura E. Wood
Download or read book The Structure of Thinking written by Laura E. Wood and published by Andrews UK Limited. This book was released on 2013-06-17 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic philosophers and cognitive scientists have long argued that the mind is a computer-like syntactical engine, and that all human mental capacities can be described as digital computational processes. This book presents an alternative, naturalistic view of human thinking, arguing that computers are merely sophisticated machines. Computers are only simulating thought when they crunch symbols, not thinking. Human cognition - semantics, de re reference, indexicals, meaning and causation - are all rooted in human experience and life. Without life and experience, these elements of discourse and knowledge refer to nothing. And without these elements of discourse and knowledge, syntax is vacant structure, not thinking.
Book Synopsis Functional Models of Cognition by : A. Carsetti
Download or read book Functional Models of Cognition written by A. Carsetti and published by Springer Science & Business Media. This book was released on 2000 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: What function is played by concepts related to meaning and mereology in the cognitive sciences? How can one outline adequate simulation models for the continuous emergence of new categorization forms characterizing cognitive processes? To what extent is it possible to define new measures of meaningful complexity? How is it possible to describe synergetically the symbolic dynamics inherent in cognitive processes? What types of formal models should we use to describe the evolutionary aspects of cognition? These, the most difficult questions in cognitive science, are discussed here in 15 original essays written by distinguished scholars drawn from a variety of disciplines. The first part presents an up-to-date account of some current trends in the functional modeling of cognitive activities, the synergetic models in particular are widely discussed. The second part focuses on recent advances in complexity theory, self-organizing networks, the theory of self- reference, and the theory of self organization. The third part focuses on some methods of formal analysis that can be used to delineate consistent simulation models of cognitive activities at the perceptual, linguistic and computational levels. The volume also highlights traditional philosophical concerns about realism, the cognitivism-connectionism debate, and the role of holistic assumptions. Readership: psychologists, cognitive scientists, theorists working in complexity theory, self-organization theory, synergetics, semantics of natural language and mereology, philosophers, epistemologists.
Book Synopsis Cognitive Science and Mathematics Education by : Alan H. Schoenfeld
Download or read book Cognitive Science and Mathematics Education written by Alan H. Schoenfeld and published by Routledge. This book was released on 2013-04-03 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider.
Book Synopsis Dual-Process Theories of Numerical Cognition by : Mario Graziano
Download or read book Dual-Process Theories of Numerical Cognition written by Mario Graziano and published by Springer. This book was released on 2018-08-12 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a philosophical interpretation to numerical cognition based on dual process theories and heuristics. It shows how investigations in cognitive science can shed light on issues traditionally raised by philosophers of mathematics. The analysis will also help readers to better understand the relationship between current neuroscientific research and the philosophical reflection on mathematics. The author seeks to explain the acquisition of mathematical concepts. To accomplish this, he needs to answer two questions. How can the concepts of approximate numerosity become an object of thought that is so accessible to our consciousness? How are these concepts refined and specified in such a way as to become numbers? Unfortunately, there is currently no model that can truly demonstrate the role of language in the development of numerical skills starting from approximate pre-verbal skills. However, the author details a solution to this problem: dual process theories. It is an approach widely used by theorists focusing on reasoning, decision making, social cognition, and consciousness. Here, he applies this approach to the studies on mathematical knowledge. He details the results brought about by psychological and neuroscientific studies conducted on numerical cognition by key neuroscientists. In the process, he develops the foundations of a new, potential philosophical explanation on mathematical knowledge.
Book Synopsis Foundations of Cognitive Science by : Michael I. Posner
Download or read book Foundations of Cognitive Science written by Michael I. Posner and published by MIT Press (MA). This book was released on 1989 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Foundational Issues in Artificial Intelligence and Cognitive Science by : M.H. Bickhard
Download or read book Foundational Issues in Artificial Intelligence and Cognitive Science written by M.H. Bickhard and published by Elsevier. This book was released on 1996-10-15 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on a conceptual flaw in contemporary artificial intelligence and cognitive science. Many people have discovered diverse manifestations and facets of this flaw, but the central conceptual impasse is at best only partially perceived. Its consequences, nevertheless, visit themselves as distortions and failures of multiple research projects - and make impossible the ultimate aspirations of the fields. The impasse concerns a presupposition concerning the nature of representation - that all representation has the nature of encodings: encodingism. Encodings certainly exist, but encodingism is at root logically incoherent; any programmatic research predicted on it is doomed too distortion and ultimate failure. The impasse and its consequences - and steps away from that impasse - are explored in a large number of projects and approaches. These include SOAR, CYC, PDP, situated cognition, subsumption architecture robotics, and the frame problems - a general survey of the current research in AI and Cognitive Science emerges. Interactivism, an alternative model of representation, is proposed and examined.
Book Synopsis Syntactic Structures by : Noam Chomsky
Download or read book Syntactic Structures written by Noam Chomsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Syntactic Structures".
