The Philosophy of Mathematical Practice

(ed.)
Oxford, England: Oxford University Press (2008)
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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 important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.

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2011

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QA299.8.M36 2011

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9780199296453   9780199640102   0199640106   0199296456
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Chapters

Diagrammatic Reasoning and Representational Systems.Kenneth Manders
Mathematical concepts.James Tappenden
Philosophical Relevance of Category Theory.Colin McLarty
Philosophical Relevance of Computers in Mathematics.Jeremy Avigad
Philosophical Relevance of the interaction between mathematical physics and pure mathematics.Alasdair Urquhart
Reflections on the purity of method in Hilbert's Grundlagen der Geometrie.Michael Hallett
Visualization.Marcus Giaquinto
Visualizing in Mathematics.  (pages 22-42)Marcus Giaquinto
Diagram-Based Geometric Practice.  (pages 65--79)Kenneth Manders
The Euclidean Diagram.  (pages 80--133)Kenneth Manders
Mathematical explanation: Why it matters.  (pages 134--149)Paolo Mancosu
it Matters.  (pages 134)Paolo Mancosu
Beyond unification.  (pages 151--178)Johannes Hafner & Paolo Mancosu
Unification and Explanation: A Case Study from Real Algebraic Geometry.  (pages 151--178)Paolo Mancosu & Johannes Hafner
Purity as an ideal of proof.  (pages 179-197)Michael Detlefsen
Mathematical concepts and definitions.  (pages 256--275)Jamie Tappenden
and Definitions.  (pages 256)Jamie Tappenden
Mathematical concepts: Fruitfulness and naturalness.  (pages 276--301)Jamie Tappenden
What structuralism achieves.  (pages 354--369)C. McLarty
in Arithmetic.  (pages 370)Colin Mclarty
The boundary between mathematics and physics.  (pages 407--416)Alasdair Urquhart

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Paolo Mancosu
University of California, Berkeley

Citations of this work

Groundwork for a Fallibilist Account of Mathematics.Silvia De Toffoli - 2021 - Philosophical Quarterly 7 (4):823-844.
What are mathematical diagrams?Silvia De Toffoli - 2022 - Synthese 200 (2):1-29.

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