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Visualization, Explanation and Reasoning Styles in Mathematics.

Author: Paolo Mancosu; Klaus Frovin Jørgensen; Stig Andur Pedersen
Publisher: Dordrecht : Springer Netherlands, 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. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, understanding, heuristics, changes in style of reasoning, the role of analogies and diagrams, etc. have become the subject  Read more...
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Genre/Form: Electronic books
History
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: Paolo Mancosu; Klaus Frovin Jørgensen; Stig Andur Pedersen
ISBN: 9048168376 9789048168378 1402033346 9781402033346
OCLC Number: 990597323
Language Note: English.
Description: 1 online resource (320 pages)
Contents: Introduction; Visualization in Logic and Mathematics; From Symmetry Perception to Basic Geometry; Naturalism, Pictures, and Platonic Intuitions; Mathematical Activity; Tertium Non Datur: On Reasoning Styles in Early Mathematics; The Interplay Between Proof and Algorithm in 3rd Century China: The Operation as Prescription of Computation and the Operation as Argumento; Proof Style and Understanding in Mathematics I: Visualization, Unification and Axiom Choice; The Varieties of Mathematical Explanation; The Aesthetics of Mathematics: A Study.
Series Title: Synthese library, 327.
Other Titles: Synthese Library
Synthese Library, Volume 327

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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