Al-Farabi's Short Commentary on Aristotle's Prior Analytics
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Aristotle's Assertoric Syllogistic and Modern Relevance Logic*
Aristotle’s assertoric syllogistic and modern relevance logic* Abstract: This paper sets out to evaluate the claim that Aristotle’s Assertoric Syllogistic is a relevance logic or shows significant similarities with it. I prepare the grounds for a meaningful comparison by extracting the notion of relevance employed in the most influential work on modern relevance logic, Anderson and Belnap’s Entailment. This notion is characterized by two conditions imposed on the concept of validity: first, that some meaning content is shared between the premises and the conclusion, and second, that the premises of a proof are actually used to derive the conclusion. Turning to Aristotle’s Prior Analytics, I argue that there is evidence that Aristotle’s Assertoric Syllogistic satisfies both conditions. Moreover, Aristotle at one point explicitly addresses the potential harmfulness of syllogisms with unused premises. Here, I argue that Aristotle’s analysis allows for a rejection of such syllogisms on formal grounds established in the foregoing parts of the Prior Analytics. In a final section I consider the view that Aristotle distinguished between validity on the one hand and syllogistic validity on the other. Following this line of reasoning, Aristotle’s logic might not be a relevance logic, since relevance is part of syllogistic validity and not, as modern relevance logic demands, of general validity. I argue that the reasons to reject this view are more compelling than the reasons to accept it and that we can, cautiously, uphold the result that Aristotle’s logic is a relevance logic. Keywords: Aristotle, Syllogism, Relevance Logic, History of Logic, Logic, Relevance 1. -
Marko Malink (NYU)
Demonstration by reductio ad impossibile in Posterior Analytics 1.26 Marko Malink (New York University) Contents 1. Aristotle’s thesis in Posterior Analytics 1. 26 ................................................................................. 1 2. Direct negative demonstration vs. demonstration by reductio ................................................. 14 3. Aristotle’s argument from priority in nature .............................................................................. 25 4. Priority in nature for a-propositions ............................................................................................ 38 5. Priority in nature for e-, i-, and o-propositions .......................................................................... 55 6. Accounting for Aristotle’s thesis in Posterior Analytics 1. 26 ................................................... 65 7. Parts and wholes ............................................................................................................................. 77 References ............................................................................................................................................ 89 1. Aristotle’s thesis in Posterior Analytics 1. 26 At the beginning of the Analytics, Aristotle states that the subject of the treatise is demonstration (ἀπόδειξις). A demonstration, for Aristotle, is a kind of deductive argument. It is a deduction through which, when we possess it, we have scientific knowledge (ἐπιστήμη). While the Prior Analytics deals with deduction in -
C.S. Peirce's Abduction from the Prior Analytics
Providence College DigitalCommons@Providence Community Scholar Publications Providence College Community Scholars 7-1996 C.S. Peirce's Abduction from the Prior Analytics William Paul Haas Follow this and additional works at: https://digitalcommons.providence.edu/comm_scholar_pubs Haas, William Paul, "C.S. Peirce's Abduction from the Prior Analytics" (1996). Community Scholar Publications. 2. https://digitalcommons.providence.edu/comm_scholar_pubs/2 This Article is brought to you for free and open access by the Providence College Community Scholars at DigitalCommons@Providence. It has been accepted for inclusion in Community Scholar Publications by an authorized administrator of DigitalCommons@Providence. For more information, please contact [email protected]. WILLIAM PAUL HAAS July 1996 C.S. PEIRCE'S ABDUCTION FROM THE PRIOR ANALYTICS In his Ancient Formal Logic. Professor Joseph Bochenski finds Aristotle's description of syllogisms based upon hypotheses to be "difficult to understand." Noting that we do not have the treatise which Aristotle promised to write, Bochenski laments the fact that the Prior Analytics, where it is treated most explicitly, "is either corrupted or (which is more probable) was hastily written and contains logical errors." (1) Charles Sanders Peirce wrestled with the same difficult text when he attempted to establish the Aristotelian roots of his theory of abductive or hypothetical reasoning. However, Peirce opted for the explanation that the fault was with the corrupted text, not with Aristotle's exposition. Peirce interpreted the text of Book II, Chapter 25 thus: Accordingly, when he opens the next chapter with the word ' Ajray (¿y-q a word evidently chosen to form a pendant to 'Errctyuyrj, we feel sure that this is what he is coming to. -
God and Physics: from Hawking to Avicenna William E. Carroll
God and Physics: From Hawking to Avicenna William E. Carroll The first religious obligation of every intelligent boy who comes of age, as marked by years or by the dreams of puberty, is to form the intention of reasoning as soundly as he can to an awareness that the world is originated. Abū ‘l-Ma’āli al-Juwaynī (1028-1085) 1 Al-Juwaynī thought that an awareness of the originatedness [ hud_th ] of the world necessarily meant a rejection of any claim to its being eternal and led, consequently, to the affirmation that it was created by God. He argues that it is reasonable to hold that the world is temporally finite -- this is what it means to be originated -- and that, on the basis of such an observation, one can come to know that there is a Creator. Furthermore, knowledge of creation is knowledge of divine sovereignty, which leads one to submit religiously to God’s plan. Discussions about the relationship between physics and theology — between our knowledge of the world of nature and our knowledge of God — are one of the enduring features of Western culture. Although my remarks will have as their focus developments in the Christian Latin West, we need to remember that in the natural sciences and in philosophy the Latin West was heavily influenced by the work of Muslim and Jewish thinkers. In some of my comments today and in my next lecture I hope to show the nature and extent of that influence. The twin pillars of every civilization are religion and science. Contemporary cosmological theories, especially discourse about the origins of the universe, reveal the continuing encounter between physics and theology. -
Catalogue of Titles of Works Attributed to Aristotle
Catalogue of Titles of works attributed by Aristotle 1 To enhance readability of the translations and usability of the catalogues, I have inserted the following bold headings into the lists. These have no authority in any manuscript, but are based on a theory about the composition of the lists described in chapter 3. The text and numbering follows that of O. Gigon, Librorum deperditorum fragmenta. PART ONE: Titles in Diogenes Laertius (D) I. Universal works (ta kathalou) A. The treatises (ta syntagmatika) 1. The dialogues or exoterica (ta dialogika ex terika) 2. The works in propria persona or lectures (ta autopros pa akroamatika) a. Instrumental works (ta organika) b. Practical works (ta praktika) c. Productive Works (ta poi tika) d. Theoretical works (ta the r tika) . Natural philosophy (ta physiologia) . Mathematics (ta math matika) B. Notebooks (ta hypomn matika) II. Intermediate works (ta metaxu) III. Particular works (ta merika) PART TWO: Titles in the Vita Hesychii (H) This list is organized in the same way as D, with two exceptions. First, IA2c “productive works” has dropped out. Second, there is an appendix, organized as follows: IV. Appendix A. Intermediate or Particular works B. Treatises C. Notebooks D. Falsely ascribed works PART THREE: Titles in Ptolemy al-Garib (A) This list is organized in the same way as D, except it contains none of the Intermediate or Particular works. It was written in Arabic, and later translated into Latin, and then reconstructed into Greek, which I here translate. PART FOUR: Titles in the order of Bekker (B) The modern edition contains works only in IA2 (“the works in propria persona”), and replaces the theoretical works before the practical and productive, as follows. -
Michael of Ephesus' Comments on Aristotle's De Memoria
NATIONAL AND KAPODISTRIAN UNIVERSITY OF ATHENS NATIONAL TECHNICAL UNIVERSITY OF ATHENS Michael of Ephesus’ comments on Aristotle’s De memoria Graduate Programme in the History and Philosophy of Science and Technology Daphne Argyri Advisor: Katerina Ierodiakonou Athens 2016 ΔΙΠΛΩΜΑΤΙΚΗ ΕΡΓΑΣΙΑ Ονοματεπώνυμο: Δάφνη Αργύρη Μεταπτυχιακό πρόγραμμα: Ιστορία και Φιλοσοφία των Επιστημών και της Τεχνολογίας (ΙΦΕΤ) Α.Μ.: 004/13 Υπεύθυνη καθηγήτρια: Κατερίνα Ιεροδιακόνου Αναγνώστες: Βασίλης Καρασμάνης Παύλος Καλλιγάς i Τα σχόλια του Μιχαήλ Εφέσιου στο Περί μνήμης του Αριστοτέλη Στην πραγματεία του Περί μνήμης και αναμνήσεως ο Αριστοτέλης παρουσιάζει τη μνήμη ως βασικό στοιχείο της γνωστικής διαδικασίας, πολύ συγγενές με την αντίληψη. Πρόκειται για μια παθητική κατάσταση (ἕξις/πάθος, 449b25), δηλαδή για μια αποθήκη της ψυχής γεμάτη με εικόνες του παρελθόντος, που σε αντίθεση και συνέχεια του Πλάτωνα διακρίνεται εμφατικά από την σαφώς ενεργητική διαδικασία της ανάμνησης. Η ανάμνηση συνίσταται στη δυνατότητα ανάκλησης στο παρόν, εκουσίως ή ακουσίως, των εικόνων του παρελθόντος και ανήκει, σαν συλλογισμός (οἷον συλλογισμός τις, 453a10), στο μέρος της ψυχής που συνδέεται με την λογική ικανότητα του ανθρώπου. Το υπόμνημα του Μιχαήλ Εφέσιου (12ος αι. μ.Χ.) στο παραπάνω έργο του Αριστοτέλη (Σχόλια εἰς τὸ Περὶ μνήμης καὶ ἀναμνήσεως, 1-41) είναι το μόνο υπόμνημα σε αυτό που σώζεται ως τις μέρες μας και αποτελεί πολύ σημαντική πηγή για την ιστορία των δύο αυτών εννοιών. Οι οξυδερκείς παρατηρήσεις και τα σχόλια του Μιχαήλ φαίνεται κατ΄αρχάς πως έχουν επηρεαστεί από τις διάφορες σχολές σκέψης με τις οποίες ήταν εξοικειωμένος, αλλά παράλληλα εκφράζουν ξεκάθαρα και τις προσωπικές του αντιλήψεις πάνω στο θέμα. Συγκεκριμένα, φανερώνεται μια συγκροτημένη θεώρηση της μνήμης και της ανάμνησης καθώς και του τρόπου με τον οποίο σχετίζονται και αλληλεπιδρούν στο πλαίσιο μιας συστηματικής γνωστικής θεωρίας. -
The Beginnings of Formal Logic: Deduction in Aristotle's Topics Vs
Phronesis 60 (�0�5) �67-309 brill.com/phro The Beginnings of Formal Logic: Deduction in Aristotle’s Topics vs. Prior Analytics Marko Malink Department of Philosophy, New York University, 5 Washington Place, New York, NY 10003. USA [email protected] Abstract It is widely agreed that Aristotle’s Prior Analytics, but not the Topics, marks the begin- ning of formal logic. There is less agreement as to why this is so. What are the distinctive features in virtue of which Aristotle’s discussion of deductions (syllogismoi) qualifies as formal logic in the one treatise but not in the other? To answer this question, I argue that in the Prior Analytics—unlike in the Topics—Aristotle is concerned to make fully explicit all the premisses that are necessary to derive the conclusion in a given deduction. Keywords formal logic – deduction – syllogismos – premiss – Prior Analytics – Topics 1 Introduction It is widely agreed that Aristotle’s Prior Analytics marks the beginning of formal logic.1 Aristotle’s main concern in this treatise is with deductions (syllogismoi). Deductions also play an important role in the Topics, which was written before the Prior Analytics.2 The two treatises start from the same definition of what 1 See e.g. Cornford 1935, 264; Russell 1946, 219; Ross 1949, 29; Bocheński 1956, 74; Allen 2001, 13; Ebert and Nortmann 2007, 106-7; Striker 2009, p. xi. 2 While the chronological order of Aristotle’s works cannot be determined with any certainty, scholars agree that the Topics was written before the Prior Analytics; see Brandis 1835, 252-9; Ross 1939, 251-2; Bocheński 1956, 49-51; Kneale and Kneale 1962, 23-4; Brunschwig 1967, © koninklijke brill nv, leiden, ���5 | doi �0.��63/�5685�84-��34��86 268 Malink a deduction is (stated in the first chapter of each). -
Aristotle on Principles As Elements
Aristotle on Principles as Elements Marko Malink, New York University Draft, September 2016 Abstract: In his discussion of the four causes, Aristotle claims that ‘the hypotheses are material causes of the conclusion’ ( Physics 2.3, Metaphysics Δ 2). This claim has puzzled commentators since antiquity. It is usually taken to mean that the premises of any deduction are material causes of the conclusion. By contrast, I argue that the claim does not apply to deductions in general but only to scientific demonstrations. In Aristotle’s view, the theorems of a given science are composites composed of the indemonstrable premises from which they are demonstrated. Accordingly, these premises are elements, and hence material causes, of the theorems. Given this, Aristotle’s claim can be shown to be well-motivated and illuminating. 1. Hypotheses are material causes of the conclusion In Physics 2.3 and its doublet in Metaphysics Δ 2, Aristotle distinguishes the so-called four causes. The first of them is characterized as ‘that from which as a constituent something comes to be’. 1 Since antiquity, this type of cause is known as the ‘material cause’. 2 Aristotle illustrates it by a series of examples as follows: 1 τὸ ἐξ οὗ γίγνεταί τι ἐνυπάρχοντος, Phys. 2.3 194b24 (= Metaph. Δ 2 1013a24–5). 2 The ancient commentators refer to it as ὑλικὸν αἴτιον (Alex. Aphr. in Metaph. 349.2, 351.5, 353.20, Philop. in Phys. 243.21, 243.30, 246.25–247.11, 249.6, Simpl. in Phys. 314.27, 319.20, 320.13, Asclep. in Metaph. 305.22–4, 306.9–14). -
Avicenna and the Aristotelian Tradition Islamic Philosophy, Theology and Science
Avicenna and the Aristotelian Tradition Islamic Philosophy, Theology and Science Texts and Studies Edited by Hans Daiber Anna Akasoy Emilie Savage-Smith VOLUME 89 The titles published in this series are listed at brill.com/ipts Avicenna and the Aristotelian Tradition Introduction to Reading Avicenna’s Philosophical Works Second, Revised and Enlarged Edition, Including an Inventory of Avicenna’s Authentic Works By Dimitri Gutas LEIDEN • BOSTON 2014 Cover illustration: Leiden University Library Or. 4, f. 1a. Title page of Avicenna’s Kitāb aš-Šifāʾ (The Cure) Library of Congress Cataloging-in-Publication Data Gutas, Dimitri. Avicenna and the Aristotelian tradition : introduction to reading Avicenna's philosophical works / by Dimitri Gutas. – Second, revised, and enlarged edition, including an inventory of Avicenna's authentic works. pages cm. – (Islamic philosophy, theology, and science, ISSN 0169-8729 ; VOLUME 89) Includes bibliographical references and index. ISBN 978-90-04-25580-7 (hardback : alk. paper) – ISBN 978-90-04-26207-2 (e-book : alk. paper) 1. Avicenna, 980-1037. 2. Aristotle–Influence. I. Title. B751.Z7G87 2014 181'.5–dc23 2013040355 This publication has been typeset in the multilingual “Brill” typeface. With over 5,100 characters covering Latin, IPA, Greek, and Cyrillic, this typeface is especially suitable for use in the humanities. For more information, please see www.brill.com/brill-typeface. ISSN 0169-8729 ISBN 978-90-04-25580-7 (hardback) ISBN 978-90-04-26207-2 (e-book) Copyright 2014 by Koninklijke Brill NV, Leiden, The Netherlands. Koninklijke Brill NV incorporates the imprints Brill, Brill Nijhoff, Global Oriental and Hotei Publishing. All rights reserved. -
The Medieval Culture of Disputation
The Medieval Culture of Disputation Unauthenticated Download Date | 5/6/16 12:15 PM ................. 18418$ $$FM 07-24-13 14:54:07 PS PAGE i THE MIDDLE AGES SERIES Ruth Mazo Karras, Series Editor Edward Peters, Founding Editor A complete list of books in the series is available from the publisher. Unauthenticated Download Date | 5/6/16 12:15 PM ................. 18418$ $$FM 07-24-13 14:54:08 PS PAGE ii The Medieval Culture of DISPUTATION Pedagogy, Practice, and Performance Alex J. Novikoff university of pennsylvania press philadelphia Unauthenticated Download Date | 5/6/16 12:15 PM ................. 18418$ $$FM 07-24-13 14:54:08 PS PAGE iii Copyright ᭧ 2013 University of Pennsylvania Press All rights reserved. Except for brief quotations used for purposes of review or scholarly citation, none of this book may be reproduced in any form by any means without written permission from the publisher. Published by University of Pennsylvania Press Philadelphia, Pennsylvania 19104-4112 www.upenn.edu/pennpress Printed in the United States of America on acid-free paper 10987654321 Library of Congress Cataloging-in-Publication Data Novikoff, Alex J. The medieval culture of disputation : pedagogy, practice, and performance / Alex J. Novikoff. — 1st ed. pages cm — (The Middle Ages series) Includes bibliographical references and index. ISBN 978-0-8122-4538-7 (hardcover : alk. paper) 1. Civilization, Medieval—12th century. 2. Civilization, Medieval—13th century. 3. Learning and scholarship—Europe—History—Medieval, 500–1500. 4. Scholasticism—Europe—History—To 1500. 5. Academic disputations—Europe—History—To 1500. 6. Religious disputations—Europe—History—To 1500. 7. Debates and debating—Europe—History—To 1500. -
Plato and Aristotle on What Is Common to Soul and Body. Some Remarks on a Complicated Issue
Chapter 8 Plato and Aristotle On What Is Common to Soul and Body. Some Remarks on a Complicated Issue Marcelo D. Boeri Abstract Aristotelian scholars tend to reject the Cartesian dualism as applied to Aristotelian model of the soul, and favor the view that denies that the soul is radically opposed to body. This is so due the fact that Aristotle takes the living being to be a unified whole (composed by form and matter). I start by reminding that both Plato and Aristotle argue that by their very nature soul and body are different, but at the same time they maintain that there are things that are ‘common’ to soul and body. The issue is how it is possible that two entities so different in nature have something in common. I argue that the key to the problem lies in the fact that both Plato and Aristotle regard the soul and the body as capacities, and that – in so far as they are able to act and to be acted upon – such is the ‘commonality’ shared both by soul and body. Given that capacities are relational entities, both of them turn out to be very plastic notions that should not necessarily be understood as entirely foreign to each other. 8.1 Introduction Both Plato and Aristotle famously argue that soul and body are two different kinds of entities: the soul is immaterial and the body material; the former is able to set in motion the body, and the latter is motionless.1 If this is so, one might assume that by their very nature soul and body are two profoundly disparate entities. -
Brief Bibliographic Guide in Medieval Islamic Philosophy and Theology
BRIEF BIBLIOGRAPHICAL GUIDE IN MEDIEVAL AND POST-CLASSICAL ISLAMIC PHILOSOPHY AND THEOLOGY (2014-2015) Thérèse-Anne Druart The Catholic University of America I cannot thank enough all the scholars who kindly sent me information, in particular, those who provided me with a copy of their publications or photocopies of tables of contents of collective works. They are true scholars and true friends. I also wish to thank very much the colleagues who patiently checked the draft of this installment. Their invaluable help was a true work of mercy. Collective Works or Collections of Articles Adamson, Peter, Studies on Early Arabic Philosophy (Variorum). Farnham, Surrey: Ashgate, 2015, xii-330 pp., ISBN 9781472420268. -------, Studies on Plotinus and al-Kindî (Variorum). Farnham, Surrey: Ashgate, 2014, xii-356 pp., ISBN 9781472420251. An Anthology of Philosophy in Persia, vol. 5: From the School of Shiraz to the Twentieth Century, ed. by Seyyed Hossein Nasr & Mehdi Aminrazavi. London-New York: I.B. Tauris, 2015, xx-544 pp., ISBN 9781848857506. Aristotle and the Arabic Tradition, ed. by Ahmed Alwishah & Josh Hayes. Cambridge: Cambridge University Press, 2015, x-270 pp., ISBN 9781107101739. L’averroismo in età moderna (1400-1700), ed. by Giovanni Licata. Macerata: Quodlibet, 2013, 211 pp., ISBN 9788874626465. Controverses sur les écritures canoniques de l’islam, ed. by Daniel De Smet & Mohammad Ali Amir-Moezzi (Islam – Nouvelles approches). Paris: Cerf, 2014, 436 pp., ISBN 9782204102933. Gutas, Dimitri, Orientations of Avicenna’s Philosophy: Essays on his Life, Method, Heritage (Variorum). Farnham, Surrey: Ashgate, 2014, xiv-368 pp., ISBN 9781472436337. The Heritage of Arabo-Islamic Learning. Studies presented to Wadad Kadi, ed.