Thomas Aquinas & John Duns Scotus

Total Page:16

File Type:pdf, Size:1020Kb

Thomas Aquinas & John Duns Scotus THOMAS AQUINAS AND JOHN DUNS SCOTUS: NATURAL THEOLOGY IN THE HIGH MIDDLE AGES Continuum Studies in Philosophy Series Editor: James Fieser, University of Tennessee at Martin, USA Continuum Studies in Philosophy is a major monograph series from Continuum. The series features first-class scholarly research monographs across the whole field of philosophy. Each work makes a major contribution to the field of philosophical research. Aesthetic in Kant, James Kirwan Analytic Philosophy: The History of an Illusion, Aaron Preston Aquinas and the Ship of Theseus, Christopher Brown Augustine and Roman Virtue, Brian Harding The Challenge of Relativism, Patrick Phillips Demands of Taste in Kant’s Aesthetics, Brent Kalar Descartes and the Metaphysics of Human Nature, Justin Skirry Descartes’ Theory of Ideas, David Clemenson Dialectic of Romanticism, Peter Murphy and David Roberts Hegel and the Analytic Tradition, edited by Angelica Nuzzo Hegel’s Philosophy of Language, Jim Vernon Hegel’s Philosophy of Right, David James Hegel’s Theory of Recognition, Sybol Cook Anderson The History of Intentionality, Ryan Hickerson Kierkegaard, Metaphysics and Political Theory, Alison Assiter Kierkegaard’s Analysis of Radical Evil, David A. Roberts Leibniz Re-interpreted, Lloyd Strickland Metaphysics and the End of Philosophy, HO Mounce Nicholas Malebranche, Susan Peppers-Bates Nietzsche and the Greeks, Dale Wilkerson Origins of Analytic Philosophy, Delbert Reed Philosophy of Miracles, David Corner Platonism, Music and the Listener’s Share, Christopher Norris Popper’s Theory of Science, Carlos Garcia Role of God in Spinoza’s Metaphysics, Sherry Deveaux Rousseau and the Ethics of Virtue, James Delaney Rousseau’s Theory of Freedom, Matthew Simpson Spinoza and the Stoics, Firmin DeBrabander Spinoza’s Radical Cartesian Mind, Tammy Nyden-Bullock St. Augustine and the Theory of Just War, John Mark Mattox St. Augustine of Hippo, R.W. Dyson Thomas Aquinas & John Duns Scotus, Alex Hall Tolerance and the Ethical Life, Andrew Fiala THOMAS AQUINAS AND JOHN DUNS SCOTUS: NATURAL THEOLOGY IN THE HIGH MIDDLE AGES Alexander W. Hall Continuum The Tower Building 80 Maiden Lane 11 York Road Suite 704 London New York SE1 7NX NY 10038 www.continuumbooks.com © Alexander W. Hall 2007 First published 2007 Paperback edition 2009 All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage or retrieval system, without permission in writing from the publishers. British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. ISBN: PB: 978-1-4411-8408-5 Library of Congress Cataloging-in-Publication Data A catalog record for this book is available from the Library of Congress. Typeset by Fakenham Photosetting, Fakenham, Norfolk For my Wife Tuyet, my children Maia and Dylan, and my parents Terrence and Donna Hall This page intentionally left blank Contents Acknowledgements ix Preface xi List of Abbreviations xiii List of Translations xv 1 Natural Theology in the High Middle Ages 1 2 Aquinas and Scientia 28 3 Scientia, Analogia, and the Five Ways 49 4 Scotus and Scientia 75 5 Scotus on Naming and Understanding 86 6 Scotus on the Signification of Theological Discourse 101 7 Infinitude, Transcendental Signification and Analogy 110 Sources Consulted 121 Notes 131 Index 167 This page intentionally left blank Acknowledgements Material from John Duns Scotus, Philosophical Writings, translated with introduction and notes by Allan Wolter (Indianapolis: Hackett, 1987); and from ‘Summa theologiae,’ in Basic Writings of Saint Thomas Aquinas, edited and annotated, with an introduction, by Anton C. Pegis, 2 vols. (New York: Random House, 1944) is reprinted by permission of Hackett Publishing Company, Inc. All rights reserved. Material from John Duns Scotus, God and Creatures: The Quodlibetal Questions, translated with introduction, notes, and glossary by Felix Alluntis and Allan B. Wolter (Princeton, NJ: Princeton University Press, 1975) is used with permission of The Catholic University of America Press, Washington, D.C. Material from John Duns Scotus, Opera omnia, edited by C. Bali´c, et al. Vatican Scotistic Commission (Rome: Polyglot Press, 1950–) is used with permission of Commissione Internazionale Scotista critica della Opera omnia del Beato Giovanni Duns Scoto. This page intentionally left blank Preface This book began as a dissertation written at Emory University under Jack Zupko, whose wisdom and mentorship inspire my work as a scholar and educator. I also owe thanks to Gyula Klima for encouragement and advice at the outset of this project, as well as to numerous scholars who shared their expertise with me at the sessions of various learned societies, and to Lloyd Newton who allowed me the use of his forthcoming edition of Scotus’s Quaestiones in librum Praedicamentorum. In addition I am deeply grateful to Richard Berquist for generously sharing with me his considerable knowledge concerning ancient and medieval concep- tions of scientia. Where the sound advice of these scholars has not been incorporated into the final product, it is generally because a recommendation came too late to see print. This especially concerns the advice given me in response to a presentation of my research at an annual meeting of the International Duns Scotus Society where Timothy Noone and Stephen Dumont, respectively, noted work to be done as concerns both the meaning of Scotus’s assertion that our knowledge of God is confused and his rejection of prior and posterior signification. I am also grateful to the two additional members of my dissertation committee, Thomas Flynn and Steven Strange; my readers Pamela Hall and Mark Risjord; and to John Glanville and Armand Fernandez, teachers who inspired my love of philosophy. Of course the views expressed in this book are my own and may not be shared by those who helped me. Finally, heartfelt thanks goes to my wife Tuyet whose considerable sacrifice and support made this work possible. This page intentionally left blank List of Abbreviations An Aristotle, On the Soul An.Post Aristotle, Posterior Analytics CHLMP Norman Kretzmann et al. (eds), The Cambridge History of Later Medieval Philosophy De Div. Nom Dionysius, De divinus nominibus De primo princ. Scotus, On the First Principle In DA Aquinas, Sententia super De anima In PA Aquinas, Sententia super Posteriora analytica Met Aristotle, Metaphysics NAB New American Bible Ord. Scotus, Ordinatio Quodl. Scotus, Quaestiones quodlibetales SCG Aquinas, Summa contra gentiles ST Aquinas, Summa theologiae This page intentionally left blank List of Translations An.Post (from the Greek): Translated by Jonathan Barnes, in: Aristotle. The Complete Works of Aristotle: The Revised Oxford Translation. Edited by J. Barnes. 2 vols. Bollingen Series. Princeton: Princeton University Press, 1984. An.Post (from the Latin): Translated by F. R. Larcher, in: Thomas Aquinas. Commentary on the ‘Posterior Analytics’ of Aristotle. Preface by James A. Weisheipl. New York: Magi Books, 1970. De primo princ: Translated by Allan B. Wolter, in: John Duns Scotus. A Treatise on God as First Principle. Chicago: Franciscan Herald Press, 1966. In PA: Larcher. De Interpretatione: Translated by J. L. Ackrill, in: Barnes, ed., vol. 1. Met (from the Greek): Translated by W. D. Ross, in: Barnes, ed., vol. 2. Met (from the Latin): Rowan. Ord: Translated by Allan Wolter, in: Philosophical Writings: A Selection. With introduction and notes by Allan Wolter. Cambridge: Hackett Publishing Company, 1987. Ord: Translated by William A. Frank and Allan B. Wolter, in: Duns Scotus, Metaphysician. West Lafayette, IN: Purdue University Press, 1995. Quodl: Translated by Felix Alluntis and Allan B. Wolter, in: John Duns Scotus, God and Creatures: The Quodlibetal Questions. Introduction, notes, and glossary by Felix Alluntis and Allan B. Wolter. Princeton, NJ: Princeton University Press, 1975. Republic: Translated by Paul Shorey, in Plato: The Collected Dialogues. Edited by Edith Hamilton and Huntington Cairns. Princeton: Princeton University Press, 1961. SCG: Translated by Anton C. Pegis, et al. Notre Dame: University of Notre Dame Press, 1975. xvi Thomas Aquinas and John Duns Scotus In DA: Translated by Kenelm Foster and Silvester Humphries, in: Commentary on Aristotle’s ‘De Anima.’ Introduction by Ralph McInerny. Notre Dame: Dumb Ox Books, 1994. Sententia super Metaphysiciam: Translated by John Rowan, in: Commentary on Aristotle’s ‘Metaphysics.’ Introduction by John Rowan, preface by Ralph McInerny. Notre Dame: Dumb Ox Books, 1995. ST: Translated by Fathers of the English Dominican Province, in: Basic Writings of Saint Thomas Aquinas. Edited and annotated, with an introduction, by Anton C. Pegis. 2 vols. New York: Random House, 1944 Unless otherwise noted, I rely solely on these translations. I use two translations of the Ordinatio, providing the English title in the citation. It is sometimes difficult to correlate a passage from these translations back to the Latin critical edition, so I also provide the page numbers from the English edition. For example ‘Ord. I, d. 3, q. 1, n. 26, Duns Scotus, Metaphysician, 109’ refers to p. 109 of Duns Scotus, Metaphysician. Citations from Ord. I, d. 22, q. un., Appendix A provide page numbers from the Vatican edition as the editors do not organize this material into numbered sections. On occasion, I tacitly introduce minor modifications in the
Recommended publications
  • St. Augustine and St. Thomas Aquinas on the Mind, Body, and Life After Death
    The University of Akron IdeaExchange@UAkron Williams Honors College, Honors Research The Dr. Gary B. and Pamela S. Williams Honors Projects College Spring 2020 St. Augustine and St. Thomas Aquinas on the Mind, Body, and Life After Death Christopher Choma [email protected] Follow this and additional works at: https://ideaexchange.uakron.edu/honors_research_projects Part of the Christianity Commons, Epistemology Commons, European History Commons, History of Philosophy Commons, History of Religion Commons, Metaphysics Commons, Philosophy of Mind Commons, and the Religious Thought, Theology and Philosophy of Religion Commons Please take a moment to share how this work helps you through this survey. Your feedback will be important as we plan further development of our repository. Recommended Citation Choma, Christopher, "St. Augustine and St. Thomas Aquinas on the Mind, Body, and Life After Death" (2020). Williams Honors College, Honors Research Projects. 1048. https://ideaexchange.uakron.edu/honors_research_projects/1048 This Dissertation/Thesis is brought to you for free and open access by The Dr. Gary B. and Pamela S. Williams Honors College at IdeaExchange@UAkron, the institutional repository of The University of Akron in Akron, Ohio, USA. It has been accepted for inclusion in Williams Honors College, Honors Research Projects by an authorized administrator of IdeaExchange@UAkron. For more information, please contact [email protected], [email protected]. 1 St. Augustine and St. Thomas Aquinas on the Mind, Body, and Life After Death By: Christopher Choma Sponsored by: Dr. Joseph Li Vecchi Readers: Dr. Howard Ducharme Dr. Nathan Blackerby 2 Table of Contents Introduction p. 4 Section One: Three General Views of Human Nature p.
    [Show full text]
  • Thomas Aquinas and Irenaeus on the Divine and Natural Law
    Randall B. Smith University of St. Thomas, Houston, Texas [email protected] 13 (2020) 2: 175–187 ORCID: 0000-0003-4262-4279 ISSN (print) 1689-5150 DOI: http://dx.doi.org/10.12775/BPTh.2020.007 ISSN (online) 2450-7059 Thomas Aquinas and Irenaeus on the Divine and Natural Law Abstract. Thomas’s account of the natural law owes a large debt to Aristotle and other early Greek philosophers back to Heraclitus. This debt has long been known and dis- cussed. Largely unrecognized, however, are the crucial influences of the early Greek Fathers of the Church who mediated this classical philosophical heritage to the Chris- tian world. They were the first to set out the relationship between the natural law, the Old Law, and grace which would have a decisive influence on Aquinas’s famous “trea- tise on law” in the Summa of Theology. In this paper, I analyze Thomas’s mature work on the natural law in STh I–II, qq. 90–108 and show how the roots of this view can be traced to the earliest Church, especially in the writings of the second century bishop and martyr, St. Irenaeus of Lyons. Of special interest is how Irenaeus transformed the Greek-Aristotelian notion of physis and “natural law” within the context of his discus- sion of the goodness of creation and the Mosaic Law, contrary to the popular Gnostic views of his day. Keywords: Thomas Aquinas; Ireneaus; natural law; divine law; Mosaic Law; Old Law; Adversus Haereses. 1. A Common Narrative about the Natural Law: The Missing Historical Piece common narrative about the natural law divides its development
    [Show full text]
  • FR. WILLIAM B. GOLDIN, S.T.D. Intro to St. Thomas Aquinas the Sources of Catholic Theology
    FR. WILLIAM B. GOLDIN, S.T.D. CLASS 2, SACRA DOCTRINA: INTRODUCTION TO THEOLOGY 3 SEPTEMBER 2020 ST. IRENAEUS CHURCH—CYPRESS, CALIFORNIA Intro to St. Thomas Aquinas The Sources of Catholic Theology Finishing Class 1: Faith and Reason in the Scholastic Period I. Theology as Scientia: Intro to Saint Thomas Aquinas Class 2, Part I: Theology as Scientia: Intro to Saint Thomas Aquinas I. The Contribution of St. Thomas Aquinas to Theology II. How to Read Aquinas ST Ia, q. 1, aa. 1, 2, and 8: Article 1. Whether, besides philosophy, any further doctrine is required? Objection 1. It seems that, besides philosophical science, we have no need of any further knowledge. For man should not seek to know what is above reason: "Seek not the things that are too high for thee" (Sirach 3:22). But whatever is not above reason is fully treated of in philosophical science. Therefore any other knowledge besides philosophical science is superfluous. Objection 2. Further, knowledge can be concerned only with being, for nothing can be known, save what is true; and all that is, is true. But everything that is, is treated of in philosophical science—even God Himself; so that there is a part of philosophy called theology, or the divine science, as Aristotle has proved (Metaph. vi). Therefore, besides philosophical science, there is no need of any further knowledge. On the contrary, It is written (2 Timothy 3:16): "All Scripture, inspired of God is profitable to teach, to reprove, to correct, to instruct in justice." Now Scripture, inspired of God, is no part of philosophical science, which has been built up by human reason.
    [Show full text]
  • Aquinas's Sermon for the Feast of Pentecost
    Aquinas’s Sermon for the Feast of Pentecost: A Rare Glimpse of Thomas the Preaching Friar Peter A. Kwasniewski and Jeremy Holmes1 (1) INTRODUCTION Friar Thomas of the Order of Preachers For seven centuries St. Thomas Aquinas has been revered as the Church’s supreme dogmatic or speculative theologian. In the course of this long history, he has also, though perhaps less widely, been recognized as a scriptural exegete of considerable subtlety and insight.2 It is fair to say, however, that he is rarely thought of as a preacher. Indeed, the conventional image of him—that of an abstracted, solitary genius, aloof from the cares of the world, pacing the halls in pursuit of an argument, plunged into a literary apostolate of staggering dimensions—seems to exclude preaching from the round of activities in which he could have been realistically engaged. His popular nickname, the Angelic Doctor, though very well suited to the loftiness of his thought and the purity of his person, might convey the impression that Thomas, like Moses during the revela- tion of the Law, spent his days at the summit of God’s mountain, unseen by the people.3 Yet those who know more about the saint and his times have good reason for calling into question the fidelity of such a portrait to its flesh-and-blood original.4 Thomas gave himself heart and soul to a new religious community whose very identity was bound up with the mission of public preaching: the Dominicans, or more properly, the Ordo Fratrum Praedicatorum, the order of preaching brethren.
    [Show full text]
  • John Duns Scotus's Metaphysics of Goodness
    University of South Florida Scholar Commons Graduate Theses and Dissertations Graduate School 11-16-2015 John Duns Scotus’s Metaphysics of Goodness: Adventures in 13th-Century Metaethics Jeffrey W. Steele University of South Florida, [email protected] Follow this and additional works at: http://scholarcommons.usf.edu/etd Part of the Medieval History Commons, Philosophy Commons, and the Religious Thought, Theology and Philosophy of Religion Commons Scholar Commons Citation Steele, Jeffrey W., "John Duns Scotus’s Metaphysics of Goodness: Adventures in 13th-Century Metaethics" (2015). Graduate Theses and Dissertations. http://scholarcommons.usf.edu/etd/6029 This Dissertation is brought to you for free and open access by the Graduate School at Scholar Commons. It has been accepted for inclusion in Graduate Theses and Dissertations by an authorized administrator of Scholar Commons. For more information, please contact [email protected]. John Duns Scotus’s Metaphysics of Goodness: Adventures in 13 th -Century Metaethics by Jeffrey Steele A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy Department of Philosophy College of Arts and Sciences University of South Florida Major Professor: Thomas Williams, Ph.D. Roger Ariew, Ph.D. Colin Heydt, Ph.D. Joanne Waugh, Ph.D Date of Approval: November 12, 2015 Keywords: Medieval Philosophy, Transcendentals, Being, Aquinas Copyright © 2015, Jeffrey Steele DEDICATION To the wife of my youth, who with patience and long-suffering endured much so that I might gain a little knowledge. And to God, fons de bonitatis . She encouraged me; he sustained me. Both have blessed me. “O taste and see that the LORD is good; How blessed is the man who takes refuge in Him!!” --Psalm 34:8 “You are the boundless good, communicating your rays of goodness so generously, and as the most lovable being of all, every single being in its own way returns to you as its ultimate end.” –John Duns Scotus, De Primo Principio Soli Deo Gloria .
    [Show full text]
  • Augustine and Aquinas on Property Ownership
    Journal of Markets & Morality Volume 6, Number 2 (Fall 2003): 479–495 Copyright © 2003 Catholicism and the Economy: Augustine and Aquinas on Property Richard J. Dougherty Ownership University of Dallas This essay attempts to lay out the understanding of property ownership found in the writings of Saint Augustine and Saint Thomas Aquinas. The reason for focus- ing on the thought of these two authors is, in part, that much of the contempo- rary discussion of Church teaching and the economy omits mention of these most prominent figures in the tradition. An additional reason for considering their work is that they both engage the argument laid out by Aristotle on prop- erty, thus bridging the distance between classical and Christian thought. The importance of this question can be seen when one assesses how contemporary policy makers might employ these principles in a largely secular social order. The central focus of both Augustine and Aquinas in their treatment of the question of property ownership is twofold, addressing the rightful acquisition and just use of such possessions. In the conclusion the essay considers some of the ramifications of this earlier teaching for contemporary Catholic social thought on the economy, suggesting that opposing positions will find both sup- port and challenges from the teaching of these authors. It would not be a controversial statement to suggest that the response to devel- opments in Catholic social teaching in the century-plus since the issuance of Rerum Novarum by Pope Leo XIII in 1891 has been marked by critiques and defenses across the political spectrum, as progressives and conservatives have alternately been bolstered or disheartened by the issuance of various papal encyclicals, especially, one might argue, on economic questions.
    [Show full text]
  • Chicken Soup for the Legal Soul: the Jurisprudence of Saint Thomas More
    Journal of Catholic Legal Studies Volume 51 Number 2 Volume 52, 2012, Number 2 Article 3 Chicken Soup for the Legal Soul: The Jurisprudence of Saint Thomas More Brian M. Murray Follow this and additional works at: https://scholarship.law.stjohns.edu/jcls Part of the Catholic Studies Commons This Article is brought to you for free and open access by the Journals at St. John's Law Scholarship Repository. It has been accepted for inclusion in Journal of Catholic Legal Studies by an authorized editor of St. John's Law Scholarship Repository. For more information, please contact [email protected]. CHICKEN SOUP FOR THE LEGAL SOUL: THE JURISPRUDENCE OF SAINT THOMAS MORE BRIAN M. MURRAYt INTRODUCTION Before Thomas More's life ended, he uttered the following famous last words: "'I die the king's good servant, and God's first.' "1 The phrase, while brief, is a window through which one can view More's philosophy, legal career, and service as a judge under the regime of King Henry VIII. Roughly twenty years earlier, More, in his finest and most widely known work, Utopia,2 advocated perseverance through prudence to public servants facing moral difficulty: "Don't give up the ship in a storm because you cannot direct the winds. [W]hat you cannot turn to good, you may at least-to the extent of your powers-make less bad."3 These lines, demonstrating the tension between serving in a system of imperfect human law while trying to remain the loyal servant of an unearthly yet divine kingdom, also serve as bookends for More's life and philosophy.
    [Show full text]
  • “We Do Not Pray to Change Divine Decree, but Only to Obtain What God Has Decided Will Be Obtained Through Prayer.” - St
    “We do not pray to change divine decree, but only to obtain what God has decided will be obtained through prayer.” - St. Thomas Aquinas, Summa theologiae Common Catholic Prayers: The Our Father Our Father, Who art in heaven, Hallowed be Thy Name. Thy Kingdom come. Thy Will be done, on earth as it is in Heaven. Give us this day our daily bread. And forgive us our trespasses, as we forgive those who trespass against us. And lead us not into temptation, but deliver us from evil. Amen. The Hail Mary Hail Mary, Full of Grace, The Lord is with thee. Blessed art thou among women, and blessed is the fruit of thy womb, Jesus. Holy Mary, Mother of God, pray for us sinners now, and at the hour of death. Amen. The Apostle’s Creed I believe in God, the Father Almighty, Creator of Heaven and earth; and in Jesus Christ, His only Son Our Lord, Who was conceived by the Holy Spirit, born of the Virgin Mary, suffered under Pontius Pilate, was crucified, died, and was buried. He descended into Hell; the third day He rose again from the dead; He ascended into Heaven, and sitteth at the right hand of God, the Father almighty; from thence He shall come to judge the living and the dead. I believe in the Holy Spirit, the holy Catholic Church, the communion of saints, the forgiveness of sins, the resurrection of the body and life everlasting. Amen. The Glory Be Glory be to the Father, and to the Son, and to the Holy Spirit.
    [Show full text]
  • The Aristotelian Curriculum in Arabic and Hebrew
    1 The Aristotelian Curriculum (Excluding Mathematics) In Arabic and Hebrew (occasionally also Greek, Syriac, Persian, Latin) Handout for “Aristotle in the Middle Ages,” James Robinson, U. Chicago, Winter 2013 General background: Christina d’Ascona, “Greek Sources in Arabic and Islamic Philosophy,” Stanford Encyc. of Philosophy Online: http://plato.stanford.edu/entries/arabic-islamic-greek/ M. Zonta, “The Influence of Arabic and Islamic Philosophy on Judaic Thought,” Stanford Encyc. of Philosophy: http://plato.stanford.edu/entries/arabic-islamic-judaic/ Dag Hasse, “The Influence of Arabic and Islamic Philosophy on the Latin West,” Stanford Encyc. of Philosophy: http://plato.stanford.edu/entries/arabic-islamic-influence/ Tony Street, “Arabic and Islamic Philosophy of Language and Logic,” Stanford Encyc. of Philosophy: http://plato.stanford.edu/entries/arabic-islamic-language/ J. McGinnis, “Arabic and Islamic Natural Philosophy and Natural Science,” Stanford Encyc. of Philosophy: http://plato.stanford.edu/entries/arabic-islamic-natural/ Alfred Ivry, “Arabic and Islamic Psychology and Philosophy of Mind,” Stanford Encyclopedia of Philosophy: http://plato.stanford.edu/entries/arabic-islamic-mind/ Amos Bertolacci, “Arabic and Islamic Metaphysics,” Stanford Encyclopedia of Philosophy: http://plato.stanford.edu/entries/arabic-islamic-metaphysics/ Useful Resources: Arist. semitico-latinus: http://www.brill.com/publications/aristoteles-semitico-latinus Online dictionary of Arabic philosophical terms: http://www.arabic-philosophy.com/dict Hans Daiber
    [Show full text]
  • The Peripatetic Program in Categorical Logic: Leibniz on Propositional Terms
    THE REVIEW OF SYMBOLIC LOGIC, Page 1 of 65 THE PERIPATETIC PROGRAM IN CATEGORICAL LOGIC: LEIBNIZ ON PROPOSITIONAL TERMS MARKO MALINK Department of Philosophy, New York University and ANUBAV VASUDEVAN Department of Philosophy, University of Chicago Abstract. Greek antiquity saw the development of two distinct systems of logic: Aristotle’s theory of the categorical syllogism and the Stoic theory of the hypothetical syllogism. Some ancient logicians argued that hypothetical syllogistic is more fundamental than categorical syllogistic on the grounds that the latter relies on modes of propositional reasoning such as reductio ad absurdum. Peripatetic logicians, by contrast, sought to establish the priority of categorical over hypothetical syllogistic by reducing various modes of propositional reasoning to categorical form. In the 17th century, this Peripatetic program of reducing hypothetical to categorical logic was championed by Gottfried Wilhelm Leibniz. In an essay titled Specimina calculi rationalis, Leibniz develops a theory of propositional terms that allows him to derive the rule of reductio ad absurdum in a purely categor- ical calculus in which every proposition is of the form AisB. We reconstruct Leibniz’s categorical calculus and show that it is strong enough to establish not only the rule of reductio ad absurdum,but all the laws of classical propositional logic. Moreover, we show that the propositional logic generated by the nonmonotonic variant of Leibniz’s categorical calculus is a natural system of relevance logic ¬ known as RMI→ . From its beginnings in antiquity up until the late 19th century, the study of formal logic was shaped by two distinct approaches to the subject. The first approach was primarily concerned with simple propositions expressing predicative relations between terms.
    [Show full text]
  • DEMONSTRATION and Scientific KNOWLEDGE in WILLIAM OF
    Longeway-000.FM 11/8/06 2:29 PM Page iii Demonstration and Scientific knowledge in william of ockham ATranslation of Summa Logicae III-II: De Syllogismo Demonstrativo, and Selections from the Prologue to the Ordinatio JO HN LEE LO NGEWAY University of Notre Dame Press Notre Dame, Indiana © 2007 University of Notre Dame Press Longeway-000.FM 11/8/06 2:29 PM Page iv Copyright © 2007 by University of Notre Dame Notre Dame, Indiana 46556 www.undpress.nd.edu All Rights Reserved Manufactured in the United States of America Library of Congress Cataloging-in-Publication Data Longeway, John. Demonstration and scientific knowledge in William of Ockham : a translation of Summa Logicae III-II : De Syllogismo Demonstrativo, and selections from the Prologue to the Ordinatio / John Lee Longeway. p. cm. Includes bibliographical references and index. isbn-13: 978-0-268-03378-1 (cloth : alk. paper) isbn-10: 0-268-03378-1 (cloth : alk. paper) 1. Knowledge, Theory of. 2. Science —Methodology. 3. Logic. 4. Aristotle. Posterior analytics. 5. William, of Ockham, ca. 1285– ca. 1349. Summa logicae. 6.William, of Ockham, ca. 1285– ca. 1349. I. Title. bd161.l66 2006 160 —dc22 2006032380 ∞This book is printed on acid-free paper. © 2007 University of Notre Dame Press Longeway-01.Intro 11/8/06 2:28 PM Page 1 introduction The medievalist needs no convincing that William of Ockham (ca. 1285–1347) is worthy of study. At one time Ockham’s views might have been regarded as a clever but uninstructed sign of the decay of Scholastic discourse, but, with the work of such scholars as Philotheus Boehner, Ernest Moody, and Marilyn McCord Adams, those days are now receding into the past.
    [Show full text]
  • 25 the Canonization of Saint Thomas Aquinas LEONARDAS V
    The Canonization Saint Thomas of Aquinas LEONARDAS V. GERULAITIS HE early Christian Church did not have any set views about the subject of the veneration of the saints. Some historians view the passage in the Acts: "And devout men carried Stephen to his burial, and made great lamentations over him "I , as an indication of the veneration of the early martyrs. But already by 56 A. D., at the time of the martyrdom of St. Polycarp, there is definitive proof that the Jews were aware that the relics of executed Christians were likely to become centers of religious devotions2. In the age of the martyrs, canonization was a spontaneous act of the local community. Even in disputed cases the judgement of the community appears to have operated automatically3. Even by the third century we cannot find any evidence for a formal process of canonization at Rome, but in Africa the Church was compelled in face of heresy (especially Donatism) and persecution to legislate on the matter of the veneration of martyrs4. It was first discussed at the First Council of Carthage in 3485. Optatus, in 370, in a work against the Donatists, maintained that there can be no martyrdom apart from the confession of the name of Christ, and that without charity martyrdom cannot have any existence6. The Fifth Council of Carthage in 4o placed the responsibility to determine the sanctity of a martyr on the diocesan bishop7. The earliest saints were martyrs who suffered death for their faith but already by the second century a new class of saints appears.
    [Show full text]