Image Schema Theory And Mathematical Cognition
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Image Schema Theory And Mathematical Cognition
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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2025-04-10
Image Schema Theory And Mathematical Cognition written by Marcel Danesi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-10 with Mathematics categories.
This book uses blending theory in math cognition, and assesses the main aspect of this theory, called image schema theory. Applied work in math pedagogy has used this theory, but no work has assessed its validity. This book provides an overall assessment of the theory with regard to its validity in the study of math cognition. Overall, this book presents image schema theory as it has evolved today to mathematicians, cognitive scientists, and math educators, deriving from it any concrete implications for modeling math in computer science and, on the other side, for making math pedagogy more effective.
From Perception To Meaning
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Author : Beate Hampe
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22
From Perception To Meaning written by Beate Hampe and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Language Arts & Disciplines categories.
The 1987 landmark publications by G. Lakoff and M. Johnson made image schema one of the cornerstone concepts of the emerging experientialist paradigm of Cognitive Linguistics, a framework founded upon the rejection of the mind-body dichotomy and stressing the fundamentally embodied nature of meaning, imagination and reason - hence language. Conceived of as the pre-linguistic, dynamic and highly schematic gestalts arising directly from motor movement, object manipulation, and perceptual interaction, image schemas served to anchor abstract reasoning and imagination to sensori-motor patterns in the conceptual theory of metaphor. Being itself informed by preceding crosslinguistic work on semantic primitives in the linguistic representations of spatial relations (carried out by L. Talmy, R. Langacker, and others), the notion has inspired a large amount of subsequent research and debate on diverse issues ranging from the meaning, structure and acquisition of natural languages to the embodied mind itself. From Perception to Meaning is the first survey of current image-schema theory and offers a collection of original and innovative essays by leading scholars, many of whom have shaped the theory from the very beginning. The edition unites essays on major issues in recent research on image-schemas - from aspects of their definition and linguistic formalization, their psychological status and neural grounding to their role as semantic universals and primitives in language acquisition. The book will thus not only be welcomed by linguists of a cognitive orientation, but will prove relevant to philosophers, psychologists, and anthropologists interested in language, and indeed to anyone studying the embodied mind.
Conceptual Metonymy
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Author : Olga Blanco-Carrión
language : en
Publisher: John Benjamins Publishing Company
Release Date : 2018-05-17
Conceptual Metonymy written by Olga Blanco-Carrión and has been published by John Benjamins Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-17 with Language Arts & Disciplines categories.
The volume addresses a number of closely connected methodological, descriptive, and theoretical issues in the study of metonymy, and includes a series of case studies broadening our knowledge of the functioning of metonymy. As regards the methodological and descriptive issues, the book exhibits a unique feature in metonymy literature: the discussion of the structure of a detailed, web-based metonymy database (especially its entry model), and the descriptive criteria to be applied in its completion. The theoretical discussion contributes important challenging insights on several metonymy-related topics such as contingency, source prominence, “complex target”, source-target contrast / asymmetry, conceptual integration, hierarchies, triggers, de-personalization and de-roling, and many others. The case studies deal with the role of metonymy in morphology, monoclausal if only constructions, emotional categories, and iconicity in English and other languages, including one sign language. Beside cognitive linguists, especially metonymy researchers, the book should appeal to researchers in A.I., sign language, rhetoric, lexicography, and communication.
Concept Invention
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Author : Roberto Confalonieri
language : en
Publisher: Springer
Release Date : 2018-10-23
Concept Invention written by Roberto Confalonieri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-23 with Computers categories.
This book introduces a computationally feasible, cognitively inspired formal model of concept invention, drawing on Fauconnier and Turner's theory of conceptual blending, a fundamental cognitive operation. The chapters present the mathematical and computational foundations of concept invention, discuss cognitive and social aspects, and further describe concrete implementations and applications in the fields of musical and mathematical creativity. Featuring contributions from leading researchers in formal systems, cognitive science, artificial intelligence, computational creativity, mathematical reasoning and cognitive musicology, the book will appeal to readers interested in how conceptual blending can be precisely characterized and implemented for the development of creative computational systems.
Embodied Mind Meaning And Reason
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Author : Mark Johnson
language : en
Publisher: University of Chicago Press
Release Date : 2017-11-20
Embodied Mind Meaning And Reason written by Mark Johnson and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-20 with Philosophy categories.
Mark Johnson is one of the great thinkers of our time on how the body shapes the mind. This book brings together a selection of essays from the past two decades that build a powerful argument that any scientifically and philosophically satisfactory view of mind and thought must ultimately explain how bodily perception and action give rise to cognition, meaning, language, action, and values. A brief account of Johnson’s own intellectual journey, through which we track some of the most important discoveries in the field over the past forty years, sets the stage. Subsequent chapters set out Johnson’s important role in embodied cognition theory, including his cofounding (with George Lakoff) of conceptual metaphor theory and, later, their theory of bodily structures and processes that underlie all meaning, conceptualization, and reasoning. A detailed account of how meaning arises from our physical engagement with our environments provides the basis for a nondualistic, nonreductive view of mind that he sees as most congruous with the latest cognitive science. A concluding section explores the implications of our embodiment for our understanding of knowledge, reason, and truth. The resulting book will be essential for all philosophers dealing with mind, thought, and language.
Diagrammatic Representation And Inference
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Author : Amrita Basu
language : en
Publisher: Springer Nature
Release Date : 2021-09-21
Diagrammatic Representation And Inference written by Amrita Basu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-21 with Computers categories.
This book constitutes the refereed proceedings of the 12th International Conference on the Theory and Application of Diagrams, Diagrams 2021, held virtually in September 2021. The 16 full papers and 25 short papers presented together with 16 posters were carefully reviewed and selected from 94 submissions. The papers are organized in the following topical sections: design of concrete diagrams; theory of diagrams; diagrams and mathematics; diagrams and logic; new representation systems; analysis of diagrams; diagrams and computation; cognitive analysis; diagrams as structural tools; formal diagrams; and understanding thought processes. 10 chapters are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Extended Conceptual Metaphor Theory
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Author : Zoltán Kövecses
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-23
Extended Conceptual Metaphor Theory written by Zoltán Kövecses and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-23 with Language Arts & Disciplines categories.
Offers an extended, improved version of Conceptual Metaphor Theory (CMT), updating it in the context of current linguistic theory.
Image Schemas And Concept Invention
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Author : Maria M. Hedblom
language : en
Publisher: Springer Nature
Release Date : 2020-06-13
Image Schemas And Concept Invention written by Maria M. Hedblom and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-13 with Computers categories.
In this book the author's theoretical framework builds on linguistic and psychological research, arguing that similar image-schematic notions should be grouped together into interconnected family hierarchies, with complexity increasing with regard to the addition of spatial and conceptual primitives. She introduces an image schema logic as a language to model image schemas, and she shows how the semantic content of image schemas can be used to improve computational concept invention. The book will be of value to researchers in artificial intelligence, cognitive science, psychology, and creativity.
Handbook Of Cognitive Mathematics
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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2022-10-31
Handbook Of Cognitive Mathematics written by Marcel Danesi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-31 with Mathematics categories.
Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.
Mathematical Structures Of Natural Intelligence
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Author : Yair Neuman
language : en
Publisher: Springer
Release Date : 2017-12-01
Mathematical Structures Of Natural Intelligence written by Yair Neuman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-01 with Mathematics categories.
This book uncovers mathematical structures underlying natural intelligence and applies category theory as a modeling language for understanding human cognition, giving readers new insights into the nature of human thought. In this context, the book explores various topics and questions, such as the human representation of the number system, why our counting ability is different from that which is evident among non-human organisms, and why the idea of zero is so difficult to grasp. The book is organized into three parts: the first introduces the general reason for studying general structures underlying the human mind; the second part introduces category theory as a modeling language and use it for exposing the deep and fascinating structures underlying human cognition; and the third applies the general principles and ideas of the first two parts to reaching a better understanding of challenging aspects of the human mind such as our understanding of the number system, the metaphorical nature of our thinking and the logic of our unconscious dynamics.