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The Philosophy of Mathematical Practice~tqw~ darksiderg

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The Philosophy of Mathematical Practice
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Type.................: Ebook
Part Size............: 20,402,841 bytes

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Posted by............: ~tqw~

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Release Notes
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Contemporary philosophy of mathematics offers us an embarrassment of riches.
Among the major areas of work one could list developments of the classical
foundational programs, analytic approaches to epistemology and ontology of
mathematics, and developments at the intersection of history and philosophy of
mathematics. But anyone familiar with contemporary philosophy of mathematics
will be aware of the need for new approaches that pay closer attention to
mathematical practice. This book is the first attempt to give a coherent and
unified presentation of this new wave of work in philosophy of mathematics. The
new approach is innovative at least in two ways. First, it holds that there are
important novel characteristics of contemporary mathematics that are just as
worthy of philosophical attention as the distinction between constructive and
non-constructive mathematics at the time of the foundational debates. Secondly,
it holds that many topics which escape purely formal logical treatment--such as
visualization, explanation, and understanding--can nonetheless be subjected to
philosophical analysis.

Table Of Contents

Introduction, Paolo Mancosu
1. Visualization, Marcus Giaquinto
2. Diagrammatic Reasoning and Representational Systems, Kenneth Manders
3. Explanation, Paolo Mancosu and Johannes Hafner
4. Purity of Methods, Mic Detlefsen and Michael Hallett
5. Mathematical concepts, James Tappenden
6. Philosophical Relevance of Category Theory, Colin McLarty
7. Philosophical Relevance of Computers in Mathematics, Jeremy Avigad
8. Philosophical Relevance of the interaction between mathematical physics and
pure mathematics, Alasdair Urquhart

Product Details

* ISBN: 0199296456
* ISBN-13: 9780199296453
* Format: Hardcover, 460pp
* Publisher: Oxford University Press, USA
* Pub. Date: September 2008

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