Algorithms and Complexity in Mathematics, Epistemology, and Science

ACMES (Algorithms and Complexity in Mathematics, Epistemology, and Science) is a multidisciplinary conference series that focuses on epistemological and mathematical issues relating to computation in modern science. This volume includes a selection of pap

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Nicolas Fillion Robert M. Corless Ilias S. Kotsireas Editors

Algorithms and Complexity in Mathematics, Epistemology, and Science Proceedings of 2015 and 2016 ACMES Conferences

Fields Institute Communications Volume 82 Fields Institute Editorial Board: Ian Hambleton, Director of the Institute Huaxiong Huang, Deputy Director of the Institute James G. Arthur, University of Toronto Kenneth R. Davidson, University of Waterloo Lisa Jeffrey, University of Toronto Barbara Lee Keyfitz, Ohio State University Thomas S. Salisbury, York University Juris Steprans, York University Noriko Yui, Queen’s University

The Communications series features conference proceedings, surveys, and lecture notes generated from the activities at the Fields Institute for Research in the Mathematical Sciences. The publications evolve from each year’s main program and conferences. Many volumes are interdisciplinary in nature, covering applications of mathematics in science, engineering, medicine, industry, and finance.

More information about this series at http://www.springer.com/series/10503

Nicolas Fillion • Robert M. Corless Ilias S. Kotsireas Editors

Algorithms and Complexity in Mathematics, Epistemology, and Science Proceedings of 2015 and 2016 ACMES Conferences

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Editors Nicolas Fillion Department of Philosophy Simon Fraser University Philosophy Burnaby, BC, Canada

Robert M. Corless The Rotman Institute of Philosophy, The Ontario Research Center for Computer Algebra and The School of Mathematical and Statistical Sciences The University of Western Ontario London, ON, Canada

Ilias S. Kotsireas Department of Physics & Computer Science Wilfrid Laurier University Waterloo, ON, Canada

ISSN 1069-5265 ISSN 2194-1564 (electronic) Fields Institute Communications ISBN 978-1-4939-9050-4 ISBN 978-1-4939-9051-1 (eBook) https://doi.org/10.1007/978-1-4939-9051-1 Library of Congress Control Number: 2019930430 Mathematics Subject Classification (2010): 00 © Springer Science+Business Media, LLC, part of Springer Nature 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 conta