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The philosophy of mathematical practice

Author: Paolo Mancosu
Publisher: Oxford ; New York : Oxford University Press, 2008.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This title offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Paolo Mancosu
ISBN: 0199296456 9780199296453
OCLC Number: 214305978
Description: xi, 447 pages : illustrations ; 24 cm
Contents: Visualizing in mathematics --
Cognition of structure --
Diagram-based geometric practice --
The Eulidean Diagram (1995) --
Mathematical explanation: why it matters --
Beyond Unification --
Purity as an ideal proof --
Reflections on the purity of method in Hilbert's Grundlagen der Geometrie --
Mathematical comcepts and definitions --
Mathematical concept: fruitfulness and naturalness --
Computers in mathematical inquiries --
Understanding proofs --
What Structuralism achieves --
'There is no ontology here': visual and structural geometry in arithmetic --
The boundary between mathematics and physics --
Mathematics and physics: strategies of assimilation.
Responsibility: [conceived, planned and edited by] Paolo Mancosu ; [preface and introduction by Paolo Mancosu].
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Abstract:

There is an urgent need in philosophy of mathematics for new approaches which pay closer attention to mathematical practice. This book will blaze the trail: it offers philosophical analyses of  Read more...

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Contemporary philosophy of mathematics offers us an embarrassment of riches... anyone familiar with contemporary philosophy of mathematics will be aware of the need for new approaches that pay closer Read more...

 
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