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Russell, Infinity, and the Tristram Shandy Paradox
RUSSELL, INFINITY, AND THE TRISTRAM SHANDY PARADOX by Shandon Guthrie INTRODUCTION Mathematicians have puzzled for centuries what precisely we mean when we refer to the concept of infinity . Some have suggested that infinity is merely something that exists in the mind. Yet others maintain that infinity possesses some ontological status in the real world. In an attempt to demonstrate the difference between the reality of an infinite and the idea of an infinite, Aristotle had suggested the terms actual infinite (the completed whole value of infinity) and potential infinite (susceptible to infinite addition). (1) Analytic philosopher Bertrand Russell believed that an actual infinite could be achieved as long as the counter possessed an actually infinite number of years to do it. In the example given in Sterne's novel, we have the example of Tristram Shandy. (2) Sterne writes about Tristram Shandy as an individual committed to writing an autobiography. However, he is so slow that it takes him one year in order to complete only one day. This means that the most recent event that could be recorded is the day that occurred one year ago. As Shandy writes an additional day, it takes him an additional year to complete the events of that day. Russell uses this example and believes that an actual infinite can be achieved through successive addition only if Shandy has an infinite number of days to complete it. RUSSELL'S ASSESSMENT OF THE TRISTRAM SHANDY PARADOX Bertrand Russell (1872-1970) suspects that the Tristram Shandy paradox can be solved. For Russell, it is the individual who possesses an infinite number of days. -
On God's Existence
Scholars Crossing SOR Faculty Publications and Presentations Summer 2001 On God's Existence W. David Beck Liberty University, [email protected] Follow this and additional works at: https://digitalcommons.liberty.edu/sor_fac_pubs Part of the Biblical Studies Commons, Comparative Methodologies and Theories Commons, Epistemology Commons, Esthetics Commons, Ethics in Religion Commons, History of Philosophy Commons, History of Religions of Eastern Origins Commons, History of Religions of Western Origin Commons, Other Philosophy Commons, Other Religion Commons, and the Religious Thought, Theology and Philosophy of Religion Commons Recommended Citation Beck, W. David, "On God's Existence" (2001). SOR Faculty Publications and Presentations. 167. https://digitalcommons.liberty.edu/sor_fac_pubs/167 This Article is brought to you for free and open access by Scholars Crossing. It has been accepted for inclusion in SOR Faculty Publications and Presentations by an authorized administrator of Scholars Crossing. For more information, please contact [email protected]. W. DAVID BECK 49 compared to the energy involved in the entire act of, say, raising one's hand to vote. When an engineer throws a switch to release the water behind Hoover Dam, the vast amount of potential energy unleashed by the moving water is overwhelmingly greater than that involved in the engineer throwing the switch. It may be the same with libeliarian acts. Perhaps the energy released in the exercise of active power is miniscule compared to the poten tial energy released in the body as part of the relevant causal pathway. I just don't lmow. Second, even if one opts for this second option (the release of energy is virtually undetectable), it doesn't follow that the resulting gap would not be detectable, since the effects of a libertarian act could still be quite different in a "gappy" way from what would have followed in the absence of that act. -
Kenosis and Nature
from John Polkinghorne, ed., The Work of Love: Creation as Kenosis. Grand Rapids, MI: Wm. Eeerdmans Publishing Co., and London: SPCK, 2001, pp. 43-65. Kenosis and Nature HOLMES ROLSTON, III Every commonplace detail of nature, every stone and tree, includes an immense richness and variety of lesser detail: in every fragment of it a thousand million lesser fragments cohere and interact. Loves Endeavour, Love's Expense, p. 84 Unless a grain of wheat falls into the earth and dies, it remains alone; but if it dies, it bears much fruit. John 12:24 1. Selfish Genes, Selfish Organisms, and Survival of the Fittest If one compares the general worldview of biology with that of theology, it first seems that there is only stark contrast. To move from Darwinian na- ture to Christian theology, one will have to change the sign of natural his- tory, from selfish genes to suffering love. Theologians also hold that, in regeneration, humans with their sinful natures must be reformed to lives that are more altruistic, also requiring a change of sign. But the problem lies deeper; all of biological nature can seem to run counter to what Jesus teaches: that one ought to lay down one s life for others. In nature, there is no altruism, much less kenosis. 43 HOLMES ROLSTON, III Life, coded by the genes, is always encapsulated in particular organ- isms. In biology we find, at once and pervasively, the organism as a bounded somatic "self" — something quite unknown in physics, chemis- try, astronomy, meteorology, or geology. The general Darwinian interpre- tive framework moves from the coding genes to the coping organisms and sees organisms so constituted genetically that self-interested (typically la- beled "selfish") behavior is inevitable. -
Thomas Aquinas' Argument from Motion & the Kalām Cosmological
University of Central Florida STARS Honors Undergraduate Theses UCF Theses and Dissertations 2020 Rethinking Causality: Thomas Aquinas' Argument From Motion & the Kalām Cosmological Argument Derwin Sánchez Jr. University of Central Florida Part of the Philosophy Commons Find similar works at: https://stars.library.ucf.edu/honorstheses University of Central Florida Libraries http://library.ucf.edu This Open Access is brought to you for free and open access by the UCF Theses and Dissertations at STARS. It has been accepted for inclusion in Honors Undergraduate Theses by an authorized administrator of STARS. For more information, please contact [email protected]. Recommended Citation Sánchez, Derwin Jr., "Rethinking Causality: Thomas Aquinas' Argument From Motion & the Kalām Cosmological Argument" (2020). Honors Undergraduate Theses. 858. https://stars.library.ucf.edu/honorstheses/858 RETHINKING CAUSALITY: THOMAS AQUINAS’ ARGUMENT FROM MOTION & THE KALĀM COSMOLOGICAL ARGUMENT by DERWIN SANCHEZ, JR. A thesis submitted in partial fulfillment of the requirements for the Honors in the Major Program in Philosophy in the College of Arts and Humanities and in the Burnett Honors College at the University of Central Florida Orlando, Florida Fall Term 2020 Thesis Chair: Dr. Cyrus Zargar i ABSTRACT Ever since they were formulated in the Middle Ages, St. Thomas Aquinas’ famous Five Ways to demonstrate the existence of God have been frequently debated. During this process there have been several misconceptions of what Aquinas actually meant, especially when discussing his cosmological arguments. While previous researchers have managed to tease out why Aquinas accepts some infinite regresses and rejects others, I attempt to add on to this by demonstrating the centrality of his metaphysics in his argument from motion. -
The Absurdity of Life Without God (Craig)
The Absurdity of Life Without God (Craig) 1. Life Without God is Meaningless: William Lane Craig argues that, if there is no God, then life itself lacks meaning, value, and purpose. The primary motive of this conclusion is the idea that, without God, there is no immortality. And, without immortality, then each and every one of us is doomed to die. Life is, as Craig notes, merely a brief transition out of oblivion and back into oblivion. Not only that, but the human race—indeed, the entire universe—is doomed to die. In 5 billion years, the Sun will engulf the Earth in a fiery death. Billions of years after that, the entire universe, as it expands and cools, will one day be nothing but a litter of dead, cold stars, forever getting further and further from one another, travelling forever into the dark recesses of dead, cold, lifeless space. (1) Life is Meaningless: If we are all doomed to die, then nothing really matters. No one’s life has any ULTIMATE significance. Our advancements to expand human knowledge, to alleviate human suffering, to learn to live in peace will all eventually be meaningless. Craig claims that, because human beings are doomed to be here for only a short time, astronomically speaking, we are no more significant than a “swarm of mosquitos”; and man, “because he ends in nothing, he IS nothing”. But, he says, even if we could live forever, life would still be meaningless. It is not MERE eternity that gives life meaning. There must be something that GIVES it meaning. -
A Brief Look at Mathematics and Theology Philip J
Humanistic Mathematics Network Journal Issue 27 Article 14 Winter 1-1-2004 A Brief Look at Mathematics and Theology Philip J. Davis Brown University Follow this and additional works at: http://scholarship.claremont.edu/hmnj Part of the Logic and Foundations of Mathematics Commons, Mathematics Commons, and the Religious Thought, Theology and Philosophy of Religion Commons Recommended Citation Davis, Philip J. (2004) "A Brief Look at Mathematics and Theology," Humanistic Mathematics Network Journal: Iss. 27, Article 14. Available at: http://scholarship.claremont.edu/hmnj/vol1/iss27/14 This Article is brought to you for free and open access by the Journals at Claremont at Scholarship @ Claremont. It has been accepted for inclusion in Humanistic Mathematics Network Journal by an authorized administrator of Scholarship @ Claremont. For more information, please contact [email protected]. 1 A Brief Look at Mathematics and Theology Philip J. Davis "Such a really remarkable discovery. I wanted your opinion on it. You know the formula m over naught equals infinity, m being any positive number? [m/0 = ]. Well, why not reduce the equation to a simpler form by multiplying both sides by naught? In which case you have m equals infinity times naught [m = x 0]. That is to say, a positive number is the product of zero and infinity. Doesn't that demonstrate the creation of the Universe by an infinite power out of nothing? Doesn't it?" Aldous Huxley, Point Counter Point, (1928), Chapter XI. I Introduction We are living in a mathematical age. Our lives, from the personal to the communal, from the communal to the international, from the biological and physical to the economic and even to the ethical, are increasingly mathematicized. -
The Emergent, Self-Explaining Universe of Paul Davies – a Summary and Christian Response
S & CB (2012), 24, 33–53 0954–4194 PAUL HIMES The Emergent, Self-explaining Universe of Paul Davies – a Summary and christian Response Physicist Paul Davies has emerged as one of the most popular scientists of the twenty-first century, despite his critique of the scientific establishment and its perceived failure to account for the origins and rational nature of the universe. Davies argues that the scientific consensus on cosmology rests on faith, both in its failure to provide an ultimate explanation for the origin of the universe and in its blind acceptance of its rational laws. As an alternative, Davies postulates an ‘emergent’ universe which contains the cause of its own existence and which renders unnecessary any sort of a personal deity. Yet Davies’s alternative falls short of providing a satisfactory cosmic explanation. Davies himself cannot adequately account for the principle of backward causation which creates his universe, and thus his paradigm still relies on a transcendent principle that remains unexplained. Furthermore, Davies’s objections against a personal god can be answered on philosophical grounds. Thus Davies’s hypothesis does not provide a superior alternative to the Christian view of God. key words: Paul Davies, physics, universe, emergent, self-causation, quantum mechanics, cosmology, time, teleology, cosmological argument, fine-tuning introduction Douglas Adams’ classic Hitchhiker’s Guide to the Galaxy tells the story of an advanced civilisation that builds a magnificent supercomputer for the sole purpose of providing the ultimate answer to the meaning of ‘life, the universe, and everything’. After millions of years of calculation, the an- swer, much to the confusion and frustration of the advanced civilisation, turns out to be ‘42’.1 Physicist Paul C. -
Debating Design from Darwin to DNA
P1: IRK 0521829496agg.xml CY335B/Dembski 0 521 82949 6 April 13, 2004 10:0 Debating Design From Darwin to DNA Edited by WILLIAM A. DEMBSKI Baylor University MICHAEL RUSE Florida State University iii P1: IRK 0521829496agg.xml CY335B/Dembski 0 521 82949 6 April 13, 2004 10:0 published by the press syndicate of the university of cambridge The Pitt Building, Trumpington Street, Cambridge, United Kingdom cambridge university press The Edinburgh Building, Cambridge CB22RU, UK 40 West 20th Street, New York, NY 10011-4211, USA 477 Williamstown Road, Port Melbourne, VIC 3207, Australia Ruiz de Alarcon´ 13, 28014 Madrid, Spain Dock House, The Waterfront, Cape Town 8001, South Africa http://www.cambridge.org C Cambridge University Press 2004 This book is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published 2004 Printed in the United States of America Typeface ITC New Baskerville 10/12 pt. System LATEX2ε [TB] A catalog record for this book is available from the British Library. Library of Congress Cataloging in Publication data available ISBN 0 521 82949 6 hardback iv P1: IRK 0521829496agg.xml CY335B/Dembski 0 521 82949 6 April 13, 2004 10:0 Contents Notes on Contributors page vii introduction 1. General Introduction 3 William A. Dembski and Michael Ruse 2. The Argument from Design: A Brief History 13 Michael Ruse 3. Who’s Afraid of ID? A Survey of the Intelligent Design Movement 32 Angus Menuge part i: darwinism 4. -
Works of Love
reader.ad section 9/21/05 12:38 PM Page 2 AMAZING LIGHT: Visions for Discovery AN INTERNATIONAL SYMPOSIUM IN HONOR OF THE 90TH BIRTHDAY YEAR OF CHARLES TOWNES October 6-8, 2005 — University of California, Berkeley Amazing Light Symposium and Gala Celebration c/o Metanexus Institute 3624 Market Street, Suite 301, Philadelphia, PA 19104 215.789.2200, [email protected] www.foundationalquestions.net/townes Saturday, October 8, 2005 We explore. What path to explore is important, as well as what we notice along the path. And there are always unturned stones along even well-trod paths. Discovery awaits those who spot and take the trouble to turn the stones. -- Charles H. Townes Table of Contents Table of Contents.............................................................................................................. 3 Welcome Letter................................................................................................................. 5 Conference Supporters and Organizers ............................................................................ 7 Sponsors.......................................................................................................................... 13 Program Agenda ............................................................................................................. 29 Amazing Light Young Scholars Competition................................................................. 37 Amazing Light Laser Challenge Website Competition.................................................. 41 Foundational -
Alister Mcgrath Is the Andreas Idreos Professor of Science and Religion at Oxford University, and Director of the Ian Ramsey Centre for Science and Religion
Alister McGrath is the Andreas Idreos Professor of Science and Religion at Oxford University, and Director of the Ian Ramsey Centre for Science and Religion. He holds Oxford doctorates in both the natural sciences and Christian theology. McGrath has written extensively on the interaction of science and Christian theology, and is the author of many books, including the inter- national bestseller The Dawkins Delusion? Atheist fundamentalism and the denial of the divine (SPCK, 2007), and the market-leading textbook Christian Theology: An introduction (Wiley, 2016). McGrath also serves as the Gresham Professor of Divinity, a public professor- ship in the City of London, established in 1597, that promotes the public engagement of theology with the leading issues of the day. ENrichiNG Our VisioN OF RealiTY Theology and the natural sciencess in dialogue Alister McGrath First published in Great Britain in 2016 Society for Promoting Christian Knowledge 36 Causton Street London SW1P 4ST www.spck.org.uk Copyright © Alister McGrath 2016 All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the publisher. SPCK does not necessarily endorse the individual views contained in its publications. The author and publisher have made every effort to ensure that the external website and email addresses included in this book are correct and up to date at the time of going to press. The author and publisher are not responsible for the content, quality or continuing accessibility of the sites. -
God? a Debate Between a Christian and an Atheist
God? A Debate Between A Christian and An Atheist William Lane Craig Walter Sinnott-Armstrong OXFORD UNIVERSITY PRESS GOD? POINT/COUNTERPOINT SERIES Series Editor James P. Sterba, University of Notre Dame AFFIRMATIVE ACTION AND RACIAL PREFERENCE Carl Cohen and James P. Sterba GOD? A DEBATE BETWEEN A CHRISTIAN AND AN ATHEIST William Lane Craig and Walter Sinnott-Armstrong GOD? A DEBATE BETWEEN A CHRISTIAN AND AN ATHEIST William Lane Craig Walter Sinnott-Armstrong Point/Counterpoint Series James P. Sterba, Series Editor 1 2004 1 Oxford New York Auckland Bangkok Buenos Aires Cape Town Chennai Dar es Salaam Delhi Hong Kong Istanbul Karachi Kolkata Kuala Lumpur Madrid Melbourne Mexico City Mumbai Nairobi São Paulo Shanghai Taipei Tokyo Toronto Copyright © 2004 by Oxford University Press, Inc. Published by Oxford University Press, Inc. 198 Madison Avenue, New York, New York, 10016 http://www.oup-usa.org Oxford is a registered trademark of Oxford University Press All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior permission of Oxford University Press. Library of Congress Cataloging-in-Publication Data Craig, William Lane. God? : a debate between a Christian and an atheist / William Lane Craig, Walter Sinnott-Armstrong. p. cm.—(Point/counterpoint series) ISBN 0-19-516599-3 (alk. paper)—ISBN 0-19-516600-0 (pbk. : alk. paper) 1. God—Proof. 2. Atheism. I. Sinnott-Armstrong, Walter, -
Hesitations About Special Divine Action: Reflections on Some Scientific, Cultural and Theological Concerns
HESITATIONS ABOUT SPECIAL DIVINE ACTION: REFLECTIONS ON SOME SCIENTIFIC, CULTURAL AND THEOLOGICAL CONCERNS ALISTER E. MCGRATH Oxford University Abstract. The new interest in special divine action has led to a close reading of the great debates and discussions of the early modern period in an attempt to understand contemporary resistance to the notion of divine action, and to develop strategies for reaffirming the notion in a refined manner. Although continuing engagement with and evaluation of the Humean legacy on miracles and divine action will be of central importance to this programme of review, there are other issues that also need to be addressed. In this article I identify some of the factors that have caused or continue to cause difficulties for the articulation of a concept of special divine action and I suggest how they might be engaged. The last two decades have witnessed a renewed surge of interest in the question of whether, and to what extent, God may be said to act in the world. Can God be understood to act entirely in and through the regular structures and capacities of nature, or does a robust account of divine action also require us to affirm that God acts specially in order to redirect the course of events in the natural world, thus delivering outcomes that would not have occurred if God had not acted in this way? Although this discussion is sometimes framed in terms of a generic notion of divinity,1 the most significant recent engagements with the question have reflected Judeo-Christian conceptions of God, and the questions arising from these.