Visualization, Explanation and Reasoning Styles in Mathematics

Language: English

Published by Springer Netherlands Okt 2010, 2010

9048168376 / 9789048168378

Series: Book 34 of 304 - Synthese Library

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. These views have primarily focused on questions pertaining to the logical structure of mathematics and questions regarding the justi cation and consistency of mathematics. Paradigmatic in this - spect is Hilbert's program which inherits from Frege and Russell the project to formalize all areas of ordinary mathematics and then adds the requi- ment of a proof, by epistemically privileged means ( nitistic reasoning), of the consistency of such formalized theories. While interest in modi ed v- sions of the original foundational programs is still thriving, in the second part of the twentieth century several philosophers and historians of mat- matics have questioned whether such foundational programs could exhaust the realm of important philosophical problems to be raised about the nature of mathematics. Some have done so in open confrontation (and hostility) to the logically based analysis of mathematics which characterized the cl- sical foundational programs, while others (and many of the contributors to this book belong to this tradition) have only called for an extension of the range of questions and problems that should be raised in connection with an understanding of mathematics. The focus has turned thus to a consideration of what mathematicians are actually doing when they produce mathematics. Questions concerning concept-formation, understanding, heuristics, changes instyle of reasoning, the role of analogies and diagrams etc. 324 pp. Englisch.

Seller Inventory # 9789048168378

Title
Visualization, Explanation and Reasoning Styles in Mathematics
Author
P. Mancosu
Publisher
Springer Netherlands Okt 2010
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
9048168376
ISBN 13
9789048168378
Item weight
520 grams
Dimensions
240x160x18 mm
Series
Book 34 of 304: Synthese Library

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

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