Visual Thinking in Mathematics

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9780199285945: Visual Thinking in Mathematics
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"The author provides a lot of signposting, making all the arguments easy to follow and the monograph a pleasure to read."--Mathematical Reviews"I recommend this book highly. It is rich with insight, stimulating and worth careful thought. Furthermore, its concise presentation of recent psychological work is invaluable."--Andrew Arana, Analysis Reviews

From the Publisher:

Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquinto argues that visual thinking in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures.

Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual's basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking.

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Giaquinto, Marcus; Giaquinto, M.
Editorial: Oxford Univ Pr (2007)
ISBN 10: 0199285942 ISBN 13: 9780199285945
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Descripción Oxford Univ Pr, 2007. Hardcover. Estado de conservación: Brand New. 1st edition. 240 pages. 9.25x6.50x1.00 inches. In Stock. Nº de ref. de la librería zk0199285942

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Giaquinto, Marcus; Giaquinto, M.
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Descripción Clarendon Press, 2007. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9780199285945

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Giaquinto, Marcus; Giaquinto, M.
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Descripción Oxford University Press, United Kingdom, 2007. Hardback. Estado de conservación: New. 234 x 156 mm. Language: English . Brand New Book ***** Print on Demand *****. Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquinto argues that visual thinking in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures. Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual s basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking. Nº de ref. de la librería APC9780199285945

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Giaquinto, Marcus; Giaquinto, M.
Editorial: Oxford University Press, United Kingdom (2007)
ISBN 10: 0199285942 ISBN 13: 9780199285945
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Descripción Oxford University Press, United Kingdom, 2007. Hardback. Estado de conservación: New. 234 x 156 mm. Language: English . Brand New Book ***** Print on Demand *****.Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquinto argues that visual thinking in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures. Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual s basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking. Nº de ref. de la librería APC9780199285945

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Giaquinto, Marcus; Giaquinto, M.
Editorial: Oxford University Press (2007)
ISBN 10: 0199285942 ISBN 13: 9780199285945
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Descripción Oxford University Press, 2007. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0199285942

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Giaquinto, Marcus; Giaquinto, M.
Editorial: Oxford University Press
ISBN 10: 0199285942 ISBN 13: 9780199285945
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Descripción Oxford University Press. Hardcover. Estado de conservación: New. Hardcover. 240 pages. Dimensions: 9.2in. x 6.1in. x 0.9in.Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means Or does it also have epistemological functions, as a means of discovery, understanding, and even proof By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquinto argues that visual thinking in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures. Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individuals basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Nº de ref. de la librería 9780199285945

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Giaquinto, Marcus; Giaquinto, M.
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Descripción Hardcover. Estado de conservación: BRAND NEW. BRAND NEW. Fast Shipping. Prompt Customer Service. Satisfaction guaranteed. Nº de ref. de la librería 0199285942BNA

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