Connecting Humans to Equations A Reinterpretation of the Philosophy
Connecting Humans to Equations: A Reinterpretation of the Philosophy of Mathematics presents some of the most important positions in the philosophy of mathematics, while adding new dimensions to this philosophy. Mathematics is an integral part of hum
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Ole Ravn Ole Skovsmose
Connecting Humans to Equations A Reinterpretation of the Philosophy of Mathematics
History of Mathematics Education
Series Editors Nerida F. Ellerton Illinois State University Normal, IL, USA M. A. (Ken) Clements Illinois State University Normal, IL, USA
More information about this series at http://www.springer.com/series/13545
Ole Ravn • Ole Skovsmose
Connecting Humans to Equations A Reinterpretation of the Philosophy of Mathematics
Ole Ravn Department of Learning and Philosophy Aalborg University Aalborg, Denmark
Ole Skovsmose Department of Learning and Philosophy Aalborg University Aalborg, Denmark Department of Mathematics Education State University of São Paulo (Universidade Estadual Paulista, Unesp) São Paulo, Brazil
ISSN 2509-9736 ISSN 2509-9744 (electronic) History of Mathematics Education ISBN 978-3-030-01336-3 ISBN 978-3-030-01337-0 (eBook) https://doi.org/10.1007/978-3-030-01337-0 Library of Congress Control Number: 2018959751 © Springer Nature Switzerland AG 2019 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. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Acknowledgements On the following pages we have attempted to present some of the most important positions in the philosophy of mathematics. At the same time, we have tried to add new dimensions to this special domain of philosophy. It is our hope that our presentation can help to broaden the conception of mathematics as a general human concern. We see mathematics as an integral part of human social life, meaning that a philosophy of mathematics turns relevant to any kind of social theorising. In 2011 we published the book Matematikfilosofi in Danish. The present book is not a translation of the Danish version; it includes reformulat
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