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Author Perspectives on Mathematical Practices Conference (2nd : 2007 : Brussels, Belgium)

Title New perspectives on mathematical practices : essays in philosophy and history of mathematics : Brussels, Belgium, 26-28 March 2007 / edited by Bart van Kerkhove
Published Singapore ; Hackensack, NJ : World Scientific, ©2009

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Description 1 online resource (xii, 235 pages) : illustrations
Contents On the nature and origin of algebraic symbolism / Albrecht Heeffer -- Reading diophantos / Ad Meskens -- What did the abbacus teachers aim at when they (sometimes) ended up doing mathematics? An investigation of the incentives and norms of a distinct mathematical practice / Jens Høyrup -- Philosophical method and Galileo's paradox of infinity / Matthew Parker -- Representations as means and ends : representability and habituation in mathematical analysis during the first part of the nineteenth century / Henrik Kragh Sørensen -- Nineteenth century analysis as philosophy of mathematics / Jeremy J. Gray -- Dedekind, structural reasoning, and mathematical understanding / Erich H. Reck -- A mathematician and a philosopher on the science-likeness of mathematics : Klein's and Lakatos' methodologies compared / Eduard Glas -- An enhanced argument for innate elementary geometric knowledge and its philosophical implications / Helen De Cruz -- The serpent in Russell's paradise / Ronny Desmet -- Bridging theories with axioms : Boole, Stone, and Tarski / Dirk Schlimm
Summary This volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics. It contains a well-balanced mixture of contributions by internationally established experts, such as Jeremy Gray and Jens Hoyrup; upcoming scholars, such as Erich Reck and Dirk Schlimm; and young, promising researchers at the beginning of their careers. The book is situated within a relatively new and broadly naturalistic tradition in the philosophy of mathematics. In this alternative philosophical current, which has been dramatically growing in importance in the last few decades, unlike in the traditional schools, proper attention is paid to scientific practices as informing for philosophical accounts
Bibliography Includes bibliographical references
Notes English
Print version record
Subject Mathematics -- Philosophy -- Congresses
Mathematics -- History -- Congresses
MATHEMATICS -- History & Philosophy.
Mathematics
Mathematics -- Philosophy
Genre/Form Conference papers and proceedings
History
Form Electronic book
Author Kerkhove, Bart van.
ISBN 9789812812230
9812812237
1282440977
9781282440975
9786612440977
661244097X