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Visualization, explanation and reasoning styles in mathematics

Author: Paolo Mancosu; Klaus Frovin Jørgensen; Stig Andur Pedersen
Publisher: Dordrecht ; Norwell, MA : Springer, ©2005.
Series: Synthese library, 327.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Visualization, explanation and reasoning styles in mathematics.
Dordrecht ; Norwell, MA : Springer, ©2005
(DLC) 2005279961
(OCoLC)60333540
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Paolo Mancosu; Klaus Frovin Jørgensen; Stig Andur Pedersen
ISBN: 9781402033353 1402033354 1402033346 9781402033346 128028370X 9781280283703
OCLC Number: 209844822
Description: 1 online resource (x, 300 pages) : illustrations.
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.
Series Title: Synthese library, 327.
Responsibility: edited by Paolo Mancosu, Klaus Frovin Jorgensen and Stig Andur Pedersen.
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Abstract:

In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century.  Read more...

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From the reviews:"As its title suggests, the book deals with themes that are of great interest to mathematics educators. ... this book is a collection of excellent papers by distinguished authors. It Read more...

 
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