When Does Mathematical Form Make Sense?
There has been a particular Anglo-Saxon obsession with the meaning of meaning (Lacan 1966). Yet meaning also is one of those concepts in scholarly discourse that is used so often that it does not appear to require any further explanation. A particular pro
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Wolff-Michael Roth
Adventures of Mind and Mathematics
Mathematics in Mind Series Editors Marcel Danesi, University of Toronto, Canada
Editorial Board Louis H. Kauffman, University of Illinois at Chicago, USA Dragana Martinovic, University of Windsor, Canada Yair Neuman, Ben-Gurion University of the Negev, Israel Rafael Núñez, University of California, San Diego, USA Anna Sfard, University of Haifa, Israel David Tall, University of Warwick, United Kingdom Kumiko Tanaka-Ishii, University of Tokyo, Japan Shlomo Vinner, The Hebrew University of Jerusalem, Israel
The monographs and occasional textbooks published in this series tap directly into the kinds of themes, research findings, and general professional activities of the Fields Cognitive Science Network, which brings together mathematicians, philosophers, and cognitive scientists to explore the question of the nature of mathematics and how it is learned from various interdisciplinary angles. Themes and concepts to be explored include connections between mathematical modeling and artificial intelligence research, the historical context of any topic involving the emergence of mathematical thinking, interrelationships between mathematical discovery and cultural processes, and the connection between math cognition and symbolism, annotation, and other semiotic processes. All works are peer-reviewed to meet the highest standards of scientific literature. More information about this series at http://www.springer.com/series/15543
Wolff-Michael Roth
Adventures of Mind and Mathematics
Wolff-Michael Roth Faculty of Education University of Victoria Victoria, BC, Canada
ISSN 2522-5405 ISSN 2522-5413 (electronic) Mathematics in Mind ISBN 978-3-030-51808-0 ISBN 978-3-030-51809-7 (eBook) https://doi.org/10.1007/978-3-030-51809-7 Mathematics Subject Classification (MSC) Codes: 00A05, 97C10, 97C20, 97C30, 97C60 © Springer Nature Switzerland AG 2020 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, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neu
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