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William Lane Craig God and Abstract Objects The Coherence of Theism: Aseity God and Abstract Objects William Lane Craig God and Abstract Objects The Coherence of Theism: Aseity William Lane Craig Talbot School of Theology Biola University La Mirada, CA, USA Houston Baptist University Houston, TX, USA ISBN 978-3-319-55383-2 ISBN 978-3-319-55384-9 (eBook) DOI 10.1007/978-3-319-55384-9 Library of Congress Control Number: 2017934646 © 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 God sustains in being all intelligible things as well as all things of a material nature. . . . He comprehendeth in Himself all of the intelligible creation, that all things may remain in existence controlled by His encompassing power. . . . Does what has been said leave us any longer in ignorance of Him who is ‘God over all’? Gregory of Nyssa Against Eunomius II.11 For Robert Adams With gratitude for your work and example Preface This book is the third installment of a long-range research program on the coher- ence of theism, that is to say, a systematic philosophical analysis of the principal attributes of God according to classical theism. My first two volumes explored the divine attributes of omniscience and eternity, respectively. This third volume exam- ines God’s attribute of aseity or self-existence. God is traditionally conceived to exist not merely necessarily but independently of anything else and to be the Creator of everything apart from Himself. The chief challenge to the doctrine of divine aseity issues from contemporary Platonism, which holds that there are objects, such as numbers and other mathematical objects, which exist necessarily and indepen- dently, so that God is not the sole ultimate reality. I first became aware of the challenge posed by Platonism to classical theism at a meeting of the Society of Christian Philosophers in Milwaukee in 1982, where I heard Thomas Morris present his remarkable paper “Absolute Creation.” Although my previous forays into set theory and philosophy of mathematics had made me sceptical of the reality of abstract mathematical objects, I had never before appreci- ated how Platonism struck at the very heart of theism. Moreover, Morris’ own solu- tion to the challenge posed by abstract objects to divine aseity seemed to involve a vicious circularity, which, in my opinion, he struggled vainly to elude. Clearly, here was a powerful challenge to the coherence of classical theism that I did not know how to resolve. I put the issue on the back burner until my studies of divine omni- science and divine eternity were complete and then took up the challenge in earnest. Vaguely aware of the tradition of divine conceptualism in Christian theology, I initially anticipated that I would eventually articulate some sort of conceptualist solution to Platonism’s challenge. What caught me by surprise was the discovery of the rich cornucopia of anti-realist solutions to the problem. Contemporary Christian philosophers are to all appearances largely unfamiliar with these options, so that such viewpoints are virtually never discussed in any depth by writers on divine aseity. Moreover, these views are often conflated in the literature, and no standard nomenclature exists for all of these views. This makes it difficult even to discern clearly the array of options available. Philosophers working in philosophy of ix x Preface mathematics, the field where the debate over abstract objects is most vigorously pursued, almost never consider integrating theism into their respective views on mathematical objects, making the task of theological integration especially chal- lenging. As my study proceeded, I found myself increasingly attracted to anti-realist perspectives on abstract objects, relative to which the challenge to divine aseity simply evaporates or, rather, never appears. I hope in this study to lay out a range of viable options for the classical theist who is seeking to find a solution to Platonism’s challenge. One drawback of the embarrassment of riches available for responding to Platonism’s challenge is that I often find it necessary to mention various alternative viewpoints before those views have been properly introduced. This practice may be unenlightening to the reader not already familiar with these views. My best solution to this problem is the perhaps brazen suggestion that the reader, after completing the book, reread the earlier chapters in light of newly acquired knowledge of the alter- native views. I have profited from personal discussion or correspondence with many thinkers in the pursuit of this study, among whom I wish to thank in particular for their stimulus and input: Robert Adams, Jody Azzouni, Mark Balaguer, J. T. Bridges, Jeffrey Brower, Charles Chihara, Paul Copan, Thomas Crisp, Trent Dougherty, Mark Edwards, Thomas Flint, Paul Gould, Dorothy Grover, Geoffrey Hellman, Paul Horwich, Ross Inman, Peter van Inwagen, Dennis Jowers, Brian Leftow, Mary Leng, Christopher Menzel, J. P. Moreland, Thomas Morris, Kenneth Perszyk, Michael Rea, Maria Reicher-Marek, Theodore Sider, Peter Simons, Alvin Plantinga, Joshua Rasmussen, Elliott Sober, Robert Thomas, Achille Varzi, Greg Welty, Edward Wierenga, Dallas Willard, Stephen Yablo, Takashi Yagisawa, and Dean Zimmerman. Thanks are due as well to my research assistant Timothy Bayless for procuring research materials, hunting down references, compiling the bibliography, compiling the indices, and carrying out other related tasks for me. Finally, as always, I am grateful to my wife Jan, not only for her help with early portions of the typescript but even more for her encouragement and interaction. I have presented portions of my research at meetings of the Society of Biblical Literature, the Society for Philosophy of Religion, the Society of Christian Philosophers, the C. S. Lewis Society (Oxford), the Evangelical Philosophical Society, the American Philosophical Association (Central Division), and the Österreichische Gesellschaft für Religionsphilosophie and at philosophical collo- quia at Texas A&M University, Rutgers University, and Southern Evangelical Seminary. Earlier versions of my work on the topic of God and abstract objects have been published as “Why Are (Some) Platonists So Insouciant?” Philosophy 86 (2011): 213–29; “A Nominalist Perspective on God and Abstract Objects,” Philosophia Christi 13 (2011): 305–18; “God and Abstract Objects,” in The Blackwell Companion to Science and Christianity, ed. Alan Padgett and James Stump (Oxford: Wiley-Blackwell, 2012), pp. 441–52; “Nominalism and Divine Aseity,” Oxford Studies in Philosophy of Religion 4 (2012): 43–64; “Propositional Truth—Who Needs It?” Philosophia Christi 15 (2013): 355–64; “Peter van Preface xi Inwagen, Substitutional Quantification, and Ontological Commitment,” Notre Dame Journal of Formal Logic 55 (2014): 553–561; “Divine Self-Existence,” in Neo-Aristotelian Perspectives in Metaphysics, ed. Daniel D. Novotný and Lukáš Novák (London: Routledge, 2014), pp. 269–95; “Divine Aseity and Abstract Objects,” in Christian Philosophy of Religion: Essays in Honor of Stephen T. Davis, ed. C. P. Ruloff (Notre Dame, Ind.: University of Notre Dame Press, 2015), pp. 165– 201; and “God and Abstract Objects,” Philosophia Christi 17 (2015): 269–76. I am grateful for permissions where required. In the spring of 2015, I had the honor of delivering a semipopular distillation of the material of this book as the Cadbury Lectures at the University of Birmingham, UK. An expansion of these lectures has now been published by Oxford University Press as God Over All: Divine Aseity and the Challenge of Platonism (2016). The present book offers a more detailed and technical discussion of the issues surveyed there. Atlanta, Georgia, USA William Lane Craig Contents Part I The Problematic 1 Introduction ............................................................................................. 3 Divine Aseity............................................................................................. 3 Abstract and Concrete Objects .................................................................. 6 Heavyweight and Lightweight Platonism ................................................. 13 Peter van Inwagen ................................................................................. 14 Bob Hale and Crispin Wright ................................................................ 15 Michael Dummett ................................................................................. 21 John Burgess and Gideon Rosen ........................................................... 24 Concluding Reflections ............................................................................. 26 Bibliography ............................................................................................. 29 2 Theology Proper and Abstract Objects ................................................ 33 Biblical and Patristic Witness to Divine Aseity ........................................ 33 The Witness of John and Paul ............................................................... 33 The Witness of the Church Fathers ....................................................... 57 Perfect Being Theology ............................................................................ 70 Conclusion ................................................................................................ 72 Bibliography ............................................................................................. 72 3 The Indispensability Argument for Platonism ..................................... 77 Quine’s Indispensability Argument ........................................................... 79 Naturalism ............................................................................................. 80 The Indispensability Thesis .................................................................. 87 The Criterion of Ontological Commitment ........................................... 95 Confirmational Holism.......................................................................... 104 Conclusion and Transition ........................................................................ 107 Bibliography ............................................................................................. 115 xiii

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This book is an exploration and defense of the coherence of classical theism’s doctrine of divine aseity in the face of the challenge posed by Platonism with respect to abstract objects. A synoptic work in analytic philosophy of religion, the book engages discussions in philosophy of mathematics,
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