Pluralism in Mathematics: A New Position in Philosophy of Mathematics

This book is about philosophy, mathematics and logic, giving a philosophical account of Pluralism which is a family of positions in the philosophy of mathematics. There are four parts to this book, beginning with a look at motivations for Pluralism by way

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Michèle Friend

Pluralism in Mathematics: A New Position in Philosophy of Mathematics

Pluralism in Mathematics: A New Position in Philosophy of Mathematics

LOGIC, EPISTEMOLOGY, AND THE UNITY OF SCIENCE VOLUME 32

Editors Shahid Rahman, University of Lille III, France

John Symons, University of Texas at El Paso, USA Managing Editor Ali Abasnezhad, University of Lille III, France Editorial Board Jean Paul van Bendegem, Free University of Brussels, Belgium Johan van Benthem, University of Amsterdam, the Netherlands Jacques Dubucs, University of Paris I-Sorbonne, France Anne Fagot-Largeault, Coll`ege de France, France G¨oran Sundholm, Universiteit Leiden, The Netherlands Bas van Fraassen, Princeton University, U.S.A. Dov Gabbay, King’s College London, U.K. Jaakko Hintikka, Boston University, U.S.A. Karel Lambert, University of California, Irvine, U.S.A. Graham Priest, University of Melbourne, Australia Gabriel Sandu, University of Helsinki, Finland Heinrich Wansing, Technical University Dresden, Germany Timothy Williamson, Oxford University, U.K.

Logic, Epistemology, and the Unity of Science aims to reconsider the question of the unity of science in light of recent developments in logic. At present, no single logical, semantical or methodological framework dominates the philosophy of science. However, the editors of this series believe that formal techniques like, for example, independence friendly logic, dialogical logics, multimodal logics, game theoretic semantics and linear logics, have the potential to cast new light on basic issues in the discussion of the unity of science. This series provides a venue where philosophers and logicians can apply specific technical insights to fundamental philosophical problems. While the series is open to a wide variety of perspectives, including the study and analysis of argumentation and the critical discussion of the relationship between logic and the philosophy of science, the aim is to provide an integrated picture of the scientific enterprise in all its diversity.

For further volumes: http://www.springer.com/series/6936

Mich`ele Friend

Pluralism in Mathematics: A New Position in Philosophy of Mathematics

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Mich`ele Friend The George Washington University Washington, DC, USA

ISBN 978-94-007-7057-7 ISBN 978-94-007-7058-4 (eBook) DOI 10.1007/978-94-007-7058-4 Springer Dordrecht Heidelberg New York London Library of Congress Control Number: 2013953900 © Springer Science+Business Media Dordrecht 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or mat