The Posterior Analytics and the Topics Richard L
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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 -
The INPR Journal. Volume I, Fall 2020
Crossing: The INPR Journal. Volume I, Fall 2020. Editor in chief Emmanuel Falque Editorial coordinators William L. Connelly Domenico Cambria Editorial committee Tamsin Jones Adam Graves Martin Koci William Woody S.J. Crossing: The INPR Journal. Volume I. November 2020. 26 Rue d’Assas 75006 Paris, France. ISSN (online): 2644-9242 DOI: 10.21428/8766eb43.b95a977c Web: https://inprjournal.pubpub.org/ http://www.network-inpr.org/ Email: [email protected] Crossing : une étape fondatrice de l’INPR (English Translation on Page III) L’international Network of Philosophy of Religion (INPR) est un réseau international de jeunes philosophes et théologiens (doctorants, post-doctorants, jeunes professeurs) réunis pour travailler ensemble autour de la question de Dieu et de sa pertinence dans un monde contemporain sécularisé. Essentiellement appuyé sur la philosophie continentale, mais pas exclusivement, il s’efforce d’être au service d’un renouveau de la philosophie et de la théologie chez les jeunes générations pour aujourd’hui. Loin de rester chacune sur leur pré-carré, philosophie et théologie sont appelées aujourd’hui à se croiser et à davantage se féconder mutuellement, dans le respect de la distinction des disciplines. Et les chercheurs de différents pays, en particulier ceux qui feront la pensée de demain, doivent eux aussi mieux dialoguer, sûrs que dans la confrontation des idées se fomente le terreau d’où naissent de nouvelles pensées. Inauguré en 2015, ce réseau international compte aujourd’hui plus d’une centaine de membres personnellement engagés, de plus de dix nationalités différentes, et venus en particulier d’Europe et des États-Unis. Les membres qui constituent ce réseau ont déjà fait la preuve par plusieurs séminaires (grands colloques ou séminaires doctoraux et post-doctoraux) du bien-fondé de leur démarche commune. -
Allan Gotthelf's Teleology, First Principles, And
Reason Papers Vol. 35, no. 1 Review Essays Review Essay: Allan Gotthelf’s Teleology, First Principles, and Scientific Method in Aristotle’s Biology and James G. Lennox and Robert Bolton’s (ed.) Being, Nature, and Life in Aristotle Owen Goldin Marquette University Although readers of Reason Papers are no doubt familiar with Allan Gotthelf’s extensive efforts aimed at a more widespread appreciation of Ayn Rand’s philosophical thought, he is best known among historians of philosophy and science for his contributions to the understanding of Aristotle’s biological works, which have shed much light on Aristotle’s scientific methodology, epistemology, and metaphysics. Two new books allow us to take account of Gotthelf’s contributions to Aristotelian studies. The first is a collection of Gotthelf’s most important papers on Aristotle.1 Although the papers were written independently, there is little superfluous repetition, and taken together they constitute a comprehensive and coherent account of Aristotle’s biology and its philosophical significance. The second, which has its origin in a 2004 conference in Gotthelf’s honor, is a collection of papers on Aristotle, most of which focus on themes that Gotthelf himself has discussed.2 Some of the papers further his thought, taking it in new directions; others depart from Gotthelf in philosophically interesting ways. Gotthelf believes that one of his most important contributions to Aristotelian studies lies in his account of teleology in the biological writings. For this he gives credit to Rand (p. viii) (who personally led Gotthelf to the study of Aristotle), for she had argued that scientific explanation must identify potentials inherent in natures. -
Syllabus for B.H.M.S. (Degree) Course
SYLLABUS FOR B.H.M.S. (DEGREE) COURSE As per the Homoeopathy (DEGREE Course) BHMS regulation, 1983, (as amended up to 2019) ANATOMY Instructions: I. (a) Instructions in anatomy should be so planed as to present a general working knowledge of the structure of the human body; (b) The amount of detail which a student is required to memorise should be reduced to the minimum; (c) Major emphasis should be laid on functional anatomy of the living subject rather than on the static structures of the cadaver, and on general anatomical positions and broad relations of the viscera, muscles, blood-vessels, nerves and lymphatics and study of the cadaver is the only means to achieve this; (d) Students should not be burdened with minutes anatomical details which have no clinical significance. II. Though dissection of the entire body is essential for the preparation of the student of his clinical studies, the burden of dissection can be reduced and much saving of time can be effected, if considerable reduction of the amount of topographical details is made and the following points are kept in view:- (1) Only such details as have professional or general educational value for the medical students. (2) The purpose of dissection is to give the student an understanding of the body in relation to its function, and the dissection should be designed to achieve this goal. (3) Normal radiological anatomy may also form part of practical or clinical training and the structure of the body should be presented linking functional aspects. (4) Dissection should be preceded by a course of lectures on the general structure of the organ or the system under discussion and then its function. -
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. -
Posterior Analytics
POSTERIOR ANALYTICS The Posterior Analytics contains Aristotle!> epistemology and philosophy of science. His approach is broadly speaking foundational. Some of what we know can be justified by being shown to follow logically from other things that we know, but some of what we know does not need to be justified in this way. Such items of foundational knowledge are the first principles of the various sciences. In the excerpts below, Aristotle sets out the axiomatic structure of a science and presents his theory of explanation. The final chapter provides a tantalizing but obscure presentation of his ideas on the acquisition of first principles. BOOK I 1 71a All teaching and all intellectual learning result from previous cognition. This is clear if we examine all the cases; for this is how the mathematical 5 sciences and all crafts arise. This is also true of both deductive and induc tive arguments, since they both succeed in teaching because they rely on previous cognition: deductive arguments begin with premisses we are as sumed to understand, and inductive arguments prove the universal by relying on the fact that the particular is already clear. Rhetorical arguments 10 also persuade in the same way, since they rely either on examples (and hence on induction) or on argumentations (and hence on deduction). Previous cognition is needed in two ways. In some cases we must presup pose that something is! (for example, that it is true that everything is either asserted or denied truly <of a given subject». In other cases we must 15 comprehend what the thing spoken of is (for example, that a triangle signifies this); and in other cases we must do both (for example, we must both comprehend what a unit signifies and presuppose that there is such a thing). -
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). -
1 the Aristotelian Method and Aristotelian
1 The Aristotelian Method and Aristotelian Metaphysics TUOMAS E. TAHKO (www.ttahko.net) Published in Patricia Hanna (Ed.), An Anthology of Philosophical Studies (Athens: ATINER), pp. 53-63, 2008. ABSTRACT In this paper I examine what exactly is ‘Aristotelian metaphysics’. My inquiry into Aristotelian metaphysics should not be understood to be so much con- cerned with the details of Aristotle's metaphysics. I am are rather concerned with his methodology of metaphysics, although a lot of the details of his meta- physics survive in contemporary discussion as well. This warrants an investigation into the methodological aspects of Aristotle's metaphysics. The key works that we will be looking at are his Physics, Meta- physics, Categories and De Interpretatione. Perhaps the most crucial features of the Aristotelian method of philosophising are the relationship between sci- ence and metaphysics, and his defence of the principle of non-contradiction (PNC). For Aristotle, natural science is the second philosophy, but this is so only because there is something more fundamental in the world, something that natural science – a science of movement – cannot study. Furthermore, Aristotle demonstrates that metaphysics enters the picture at a fundamental level, as he argues that PNC is a metaphysical rather than a logical principle. The upshot of all this is that the Aristotelian method and his metaphysics are not threatened by modern science, quite the opposite. Moreover, we have in our hands a methodology which is very rigorous indeed and worthwhile for any metaphysician to have a closer look at. 2 My conception of metaphysics is what could be called ‘Aristotelian’, as op- posed to Kantian. -
A Note on the Simile of the Rout in the Posterior Analytics Ii 19
Ancient Philosophy 31 (2011) ©Mathesis Publications 1 A Note on the Simile of the Rout in the Posterior Analytics ii 19 James Lesher In the Posterior Analytics (APo ) ii 19, Aristotle compares the way in which sense perception ( αἴσθησις ) gives rise to knowledge of the universal ( τὸ καθόλου ) with the way in which one soldier’s ceasing his flight from the enemy leads other soldiers to do the same (100a12-13). 1 While the philosophical lesson appears to be that the human soul has the capacity to retain and organize multiple sense impressions (just as soldiers have the capacity to stop and form themselves into an effective fighting unit), the simile’s concluding phrase, ἕως ἐπὶ ἀρχὴν ἦλθεν , has no clear meaning. In Lesher 2010a I argued that the phrase should not be taken to mean ‘until the soldiers return to the original location or arrange - ment’ since that would suggest that in grasping the universal the mind returns to a prior state or condition (a view proposed by Plato but rejected by Aristotle at APo 99b25-7). I also noted that no surviving ancient account of a battle makes any mention of soldiers who cease their flight from the enemy and ‘come or go to an ἀρχή . Accordingly, I proposed that we take the subject of the verb ἦλθε to be the stabilizing of the sensible image in the soul and the ἀρχή toward which this process advances to be ‘the ἀρχή of art and scientific knowledge’ mentioned in the previous sentence. It seems clear that the process Aristotle was seeking to explain consists (ini - tially) in the stabilizing of the sensible image (99b36-110a2) and (subsequently) in the situating of the universal within a network of broader universals (100a15- b3). -
The University of Chicago Aristotle on the Necessity
THE UNIVERSITY OF CHICAGO ARISTOTLE ON THE NECESSITY OF WHAT WE KNOW A DISSERTATION SUBMITTED TO THE FACULTY OF THE DIVISION OF THE HUMANITIES IN CANDIDACY FOR THE DEGREE OF DOCTOR OF PHILOSOPHY DEPARTMENT OF PHILOSOPHY BY JOSHUA MENDELSOHN CHICAGO, ILLINOIS JUNE 2019 TABLE OF CONTENTS ACKNOWLEDGMENTS . iv ABSTRACT . v 1 INTRODUCTION . 1 1.1 Aristotle on what we know ........................... 1 1.2 Previous approaches ............................... 7 1.3 Some first steps toward an answer ....................... 25 1.4 Chapter breakdown ................................ 34 2 ARISTOTLE’S DURABILITY ARGUMENTS . 36 2.1 Knowledge in the Categories ........................... 36 2.1.1 Knowledge as a relative: Categories 7 . 36 2.1.2 Knowledge as a state: Categories 8 ................... 51 2.1.3 The tension between the two principles . 59 2.2 When what is changeable goes out of view: Nicomachean Ethics VI.3 . 66 2.2.1 The sense of “necessity” ......................... 74 2.2.2 A Platonic precursor: Theaetetus 163c–164b . 75 2.3 Durability and demonstration: Posterior Analytics I.6 . 79 2.4 Knowledge of sensible particulars: Metaphysics Ζ.15 . 86 2.5 Taking stock ................................... 88 3 THE OBJECT OF KNOWLEDGE . 90 3.1 The introduction of the Forms ......................... 93 3.2 The irrelevance of the Forms .......................... 96 3.3 Essentiality and necessity: Posterior Analytics I.4 . 102 3.3.1 “Of all” and “per se” . 103 3.3.2 Per se predications and necessity . 108 3.3.3 “Universal” ................................112 3.3.4 Demonstrative necessities concerning individuals . 115 3.4 Per se necessity in natural science . 120 3.4.1 Per se necessity in biology: Parts of Animals II.3 . -
Metaphysics Translated by W
Aristotle Metaphysics translated by W. D. Ross Book Α 1 All men by nature desire to know. An indication of this is the delight we take in our senses; for even apart from their usefulness they are loved for themselves; and above all others the sense of sight. For not only with a view to action, but even when we are not going to do anything, we prefer seeing (one might say) to everything else. The reason is that this, most of all the senses, makes us know and brings to light many differences between things. By nature animals are born with the faculty of sensation, and from sensation memory is produced in some of them, though not in others. And therefore the former are more intelligent and apt at learning than those which cannot remember; those which are incapable of hearing sounds are intelligent though they cannot be taught, e.g. the bee, and any other race of animals that may be like it; and those which besides memory have this sense of hearing can be taught. The animals other than man live by appearances and memories, and have but little of connected experience; but the human race lives also by art and reasonings. Now from memory experience is produced in men; for the several memories of the same thing produce finally the capacity for a single experience. And experience seems pretty much like science and art, but really science and art come to men through experience; for ‘experience made art’, as Polus says, ‘but inexperience luck.’ Now art arises when from many notions gained by experience one universal judgement about a class of objects is produced. -
Greco-Roman Legal Analysis: the Topics of Invention
St. John's Law Review Volume 66 Number 1 Volume 66, Winter 1992, Number 1 Article 3 Greco-Roman Legal Analysis: The Topics of Invention Michael Frost Follow this and additional works at: https://scholarship.law.stjohns.edu/lawreview 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 St. John's Law Review by an authorized editor of St. John's Law Scholarship Repository. For more information, please contact [email protected]. GRECO-ROMAN LEGAL ANALYSIS: THE TOPICS OF INVENTION MICHAEL FROST* I. INTRODUCTION Despite a wealth of commentary on legal reas6ning and legal logic, modern writers on the subject demonstrate a curious and re- grettable disregard for the close connections between classical Greco-Roman theories of forensic discourse and modern theories of legal reasoning and analysis. Two recent treatises on logic and legal reasoning, Judge Ruggero Aldisert's Logic for Lawyers' and Pro- fessor Steven Burton's An Introduction to Law and Legal Reason- ing,2 are exceptions to this rule. Their treatises fall within a 2,000- year-old tradition of rhetorical analysis and discourse especially designed for lawyers. Beginning with treatises on rhetoric by Aris- totle, Cicero, and Quintilian, philosophers and lawyers have re- peatedly attempted, some more ambitiously than others, to de- scribe and analyze legal reasoning and methodology. Judge Aldisert implicitly acknowledges his participation in this ancient tradition with an epigraph drawn from Cicero's Republic, with his choice of subject matter, and with his use of centuries-old rhetori- cal terminology.3 Professor Burton's approach to legal analysis and argument can also be traced back to ancient rhetorical treatises especially written for the instruction of beginning advocates.