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Title Visualization, explanation and reasoning styles in mathematics / edited by Paolo Mancosu, Klaus Frovin Jorgensen and Stig Andur Pedersen
Published Dordrecht ; Norwell, MA : Springer, ©2005

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Description 1 online resource (x, 300 pages) : illustrations
Series Synthese library, 0082-1128 ; 327
Synthese library ; 327. 0082-1128
Contents Introduction / P. Mancosu [and others] -- PART I. MATHEMATICAL REASONING AND VISUALIZATION -- Visualization in logic and mathematics / P. Mancosu -- From symmetry perception to basic geometry / M. Giaquinto -- Naturalism, pictures, and Platonic intuitions / J.R. Brown -- Mathematical activity / M. Giaquinto -- PART II. MATHEMATICAL EXPLANATION AND PROOF STYLES -- Tertium non datur: on reasoning styles in early mathematics / J. Høyrup -- The interplay between proof and algorithm in 3rd century China: the operation as prescription of computation and the operation as argument / K. Chemla -- Proof style and understanding in mathematics I: visualization, unification and axiom choice / J. Tappenden -- The varieties of mathematical explanations / J. Hafner, P. Mancosu -- The aesthetics of mathematics: a study / R. Netz
Summary "This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. The reader will find here systematic philosophical analyses as well as a wealth of philosophically informed case studies ranging from Babylonian, Greek, and Chinese mathematics to nineteenth century real and complex analysis."--Jacket
Bibliography Includes bibliographical references and index
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In OhioLINK electronic book center
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Subject Mathematics -- Philosophy.
Logic, Symbolic and mathematical.
Visualization.
31.02 philosophy and theory of mathematics.
08.33 logics and argumentation.
MATHEMATICS -- History & Philosophy.
Mathematics -- Philosophy.
Logic, Symbolic and mathematical.
Visualization.
Reasoning.
Matemáticas -- Filosofía
Logic, Symbolic and mathematical
Mathematics -- Philosophy
Visualization
Wiskunde.
Filosofie.
Form Electronic book
Author Mancosu, Paolo.
Jørgensen, Klaus Frovin
Pedersen, Stig Andur, 1943-
ISBN 9781402033353
1402033354
1402033346
9781402033346
128028370X
9781280283703
6610283702
9786610283705