New perspectives on mathematical practices : essays in philosophy and history of mathematics : Brussels, Belgium, 26-28 March 2007 / edited by Bart van Kerkhove.

Format:

Book

Conference/Event

Author/Creator:

Perspectives on Mathematical Practices Conference, Corporate Author.

Contributor:

Kerkhove, Bart van.

Conference Name:

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

Perspectives on Mathematical Practices Conference

Language:

English

Subjects (All):

Mathematics--Philosophy--Congresses.

Mathematics.

Mathematics--History--Congresses.

Physical Description:

1 online resource (248 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, c2009.

Language Note:

English

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 l

Contents:

Editorial Preface; CONTENTS; On the Nature and Origin of Algebraic Symbolism Albrecht Hee er; 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. GrayDedekind, 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

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786612440977

9781282440975

1282440977

9789812812230

9812812237

OCLC:

555793173