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Boston Studies in the Philosophy and History of Science 324 Juliet Floyd Alisa Bokulich Editors Philosophical Explorations of the Legacy of Alan Turing Turing 100 Boston Studies in the Philosophy and History of Science Volume 324 Editors Alisa Bokulich, Boston University Robert S. Cohen, Boston University Jürgen Renn, Max Planck Institute for the History of Science  Kostas Gavroglu, University of Athens  Managing Editor Lindy Divarci, Max Planck Institute for the History of Science  Editorial Board Theodore Arabatzis, University of Athens  Heather E. Douglas, University of Waterloo  Jean Gayon, Université Paris 1  Thomas F. Glick, Boston University  Hubert Goenner, University of Goettingen  John Heilbron, University of California, Berkeley  Diana Kormos-Buchwald, California Institute of Technology  Christoph Lehner, Max Planck Institute for the History of Science  Peter McLaughlin, Universität Heidelberg  Agustí Nieto-Galan, Universitat Autònoma de Barcelona  Nuccio Ordine, Universitá della Calabria  Sylvan S. Schweber, Harvard University  Ana Simões, Universidade de Lisboa  John J. Stachel, Boston University Baichun Zhang, Chinese Academy of Science More information about this series at http://www.springer.com/series/5710 Juliet Floyd • Alisa Bokulich Editors Philosophical Explorations of the Legacy of Alan Turing Turing 100 Editors Juliet Floyd Alisa Bokulich Department of Philosophy Department of Philosophy Boston University Boston University Boston, MA, USA Boston, MA, USA ISSN 0068-0346 ISSN 2214-7942 (electronic) Boston Studies in the Philosophy and History of Science ISBN 978-3-319-53278-3 ISBN 978-3-319-53280-6 (eBook) DOI 10.1007/978-3-319-53280-6 Library of Congress Control Number: 2017936968 © Springer International Publishing AG 2017 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. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland This volume is dedicated to the memory of two of our participants in the “Turing 100” session of the Boston Colloquium for Philosophy of Science, Marvin Minsky (1927–2016) and S. Barry Cooper (1943–2015) who, like Turing, have contributed so much to these topics and whose insights and presence will be greatly missed. Preface On November 11 and 12 of 2012, we celebrated the centenary of Alan Turing’s (1912–1954) birth with a session of the Boston Colloquium for Philosophy of Science titled “Turing 100,” which was co-sponsored by the Center for Philosophy and History of Science and the Rafik B. Hariri Institute for Computing and Computational Science and Engineering, both centers of excellence here at Boston University. We invited a distinguished team of philosophers, mathematicians, logi- cians, historians, computer scientists, and cryptographers to our event—among them four Turing Award winners, the highest honor now given in computer science: Marvin Minsky (1969), Michael O. Rabin (1976), Ron Rivest (2002), and Silvio Micali (2012). Other speakers included Juliette Kennedy, Martin Davis, Gerald Sacks, Theodore Slaman, Craig Bauer, Patrick Henry Winston, S. Barry Cooper, Wilfrid Sieg, Stephen Wolfram, Rohit Parikh, Mark Hogarth, Rod Downey, and Leonid Levin. Appropriately, each speaker reflected on foundational issues with power and imagination in Turing’s spirit, representing a number of different fields in which speculation, rigorous mathematics, good sense, and simplicity are valued. A record of their talks and slides may be found at http://www.bu.edu/cphs/ colloquium/2012–2013/#turing. “Turing 100” attracted a large audience and gener- ated a lively discussion, closing out the Alan Turing Year in style. A host of meetings took place around the world in 2012, which was known to users of the Internet as “The Alan Turing Year.” Several recent volumes have appeared, or are slated to appear, aiming to bring the importance of Turing’s ideas and life to a wider, more variegated public. Our Boston University “Turing 100” meeting was distinctive, however, in addressing itself specifically to the philosophi- cal legacy of Turing’s work. We asked our participants to consider foundational motives and methods, as well as look forward to the frontiers of the more applied philosophical regions of Turing’s ideas. Turing counts as one of the twentieth cen- tury’s most important scientists—if not one of the most influential scientists of all time—and we wanted to explore his philosophical sensibility and contributions to general issues of philosophical importance. Philosophy, and the philosophy of sci- ence more specifically, often plays a central role when it comes to revolutionary periods in science, and Turing is like many of the other great scientists in this regard. vii viii Preface The purpose of our volume is to show how Turing’s distinctive way of thinking promoted a panoply of ideas and outstanding questions crucial to the history and philosophy of science. In discussing Turing’s philosophical legacy, we must also note the important moral and political dimensions of his life and death. Turing died in 1954, age 41, apparently by suicide, having chosen to undergo chemical castration to correct his homosexuality rather than face a year in prison for “gross indecency.” Though it may not, in the end, surprise us, it must surely concern us that an ostensibly demo- cratically liberal state claiming to have been fighting the tyranny of dictatorship would willingly—and legally—so persecute one of its most able scientists and pro- tectors. In the fall of 2008, an Internet campaign generated the then-largest petition for a pardon in the history of Britain; a royal pardon was issued on Christmas Eve, 2013. But this was only the beginning. On February 25, 2015, the day after the Oscar Award Ceremony for the film “The Imitation Game” (2014), Turing’s great- nephew and great-niece presented a petition signed by even more people—half a million on change.org—demanding the pardon of 49,000 men unjustly convicted of gross indecency before 2003 (when homosexuality was fully legalized in Britain). Turing’s grand-niece put it perfectly: “It is illogical that my great uncle has been the only one to be pardoned when so many were convicted of the same crime.” In February 2017 “Turing’s Law” passed in the United Kingdom, automatically par- doning deceased men—including Turing himself—convicted for consensual same- sex relations before homosexuality was decriminalised, and opening up procedures for men living with convictions to apply to have their names cleared. It is a true irony of history that through the Internet itself—using devices instantiating Turing’s very idea of a “Turing machine”—the sense of justice of hundreds of thousands of offended individuals could be pooled to such positive effect in Turing’s name. We think this volume is a fitting and unique tribute to the breadth and depth of Turing’s philosophical side and a strong and stimulating contribution to our long- standing Springer series, Boston Studies in the Philosophy and History of Science. Boston, MA, USA Juliet Floyd March 2015 Alisa Bokulich Acknowledgments We received generous funding for “Turing 100” from our two Boston University co-sponsors: the Center for Philosophy and History of Science and the Rafik B. Hariri Institute for Computing and Computational Science and Engineering. They are two truly interdisciplinary centers of intellectual excellence, one with a long tradition and the other a promising new one: we are grateful for their support. In addition to offering us financial support, Program Committee members Azer Bestavros and Steven Homer offered especially sage advice and helped us to attract a truly distinguished speaker list. We are grateful to the Department of Computer Science at Boston University for lending us their hands. Finally we are grateful to several talented graduate students who helped us with the manuscript at various stages along the way. In particular, we are grateful to Katherine Valde for proofreading the entire manuscript before submission, Jared Henderson for managing timely conversion of documents from LaTex to Word, and Kurt Blankschaen for helping us with the index. We express our final thanks to the Department of Philosophy at Boston University for supporting this good work of our graduate students. ix Contents 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Juliet Floyd Part I Logic and Mathematics to Philosophy 2 Turing, the Mathematician . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 Daniele Mundici and Wilfried Sieg 3 Turing, Gödel and the “Bright Abyss” . . . . . . . . . . . . . . . . . . . . . . . . . 63 Juliette Kennedy 4 Justified True Belief: Plato, Gettier, and Turing . . . . . . . . . . . . . . . . . 93 Rohit Parikh and Adriana Renero 5 T uring on “Common Sense”: Cambridge Resonances . . . . . . . . . . . . 103 Juliet Floyd Part II The Universal Machine: From Music to Morphogenesis 6 Universality Is Ubiquitous . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153 Martin Davis 7 The Early History of Voice Encryption . . . . . . . . . . . . . . . . . . . . . . . . . 159 Craig Bauer 8 Turing and the History of Computer Music . . . . . . . . . . . . . . . . . . . . . 189 B. Jack Copeland and Jason Long 9 Exploring the Frontiers of Computation: Measurement Based Quantum Computers and the Mechanistic View of Computation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219 Armond Duwell 10 Embodying Computation at Higher Types . . . . . . . . . . . . . . . . . . . . . . 233 S. Barry Cooper xi

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