Space in Hellenistic Philosophy
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
The Philosophy of Physics
The Philosophy of Physics ROBERTO TORRETTI University of Chile 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 CB2 2RU, UK www.cup.cam.ac.uk 40 West 20th Street, New York, NY 10011-4211, USA www.cup.org 10 Stamford Road, Oakleigh, Melbourne 3166, Australia Ruiz de Alarcón 13, 28014, Madrid, Spain © Roberto Torretti 1999 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 1999 Printed in the United States of America Typeface Sabon 10.25/13 pt. System QuarkXPress [BTS] A catalog record for this book is available from the British Library. Library of Congress Cataloging-in-Publication Data is available. 0 521 56259 7 hardback 0 521 56571 5 paperback Contents Preface xiii 1 The Transformation of Natural Philosophy in the Seventeenth Century 1 1.1 Mathematics and Experiment 2 1.2 Aristotelian Principles 8 1.3 Modern Matter 13 1.4 Galileo on Motion 20 1.5 Modeling and Measuring 30 1.5.1 Huygens and the Laws of Collision 30 1.5.2 Leibniz and the Conservation of “Force” 33 1.5.3 Rømer and the Speed of Light 36 2 Newton 41 2.1 Mass and Force 42 2.2 Space and Time 50 2.3 Universal Gravitation 57 2.4 Rules of Philosophy 69 2.5 Newtonian Science 75 2.5.1 The Cause of Gravity 75 2.5.2 Central Forces 80 2.5.3 Analytical -
Chrysippus's Dog As a Case Study in Non-Linguistic Cognition
Chrysippus’s Dog as a Case Study in Non-Linguistic Cognition Michael Rescorla Abstract: I critique an ancient argument for the possibility of non-linguistic deductive inference. The argument, attributed to Chrysippus, describes a dog whose behavior supposedly reflects disjunctive syllogistic reasoning. Drawing on contemporary robotics, I urge that we can equally well explain the dog’s behavior by citing probabilistic reasoning over cognitive maps. I then critique various experimentally-based arguments from scientific psychology that echo Chrysippus’s anecdotal presentation. §1. Language and thought Do non-linguistic creatures think? Debate over this question tends to calcify into two extreme doctrines. The first, espoused by Descartes, regards language as necessary for cognition. Modern proponents include Brandom (1994, pp. 145-157), Davidson (1984, pp. 155-170), McDowell (1996), and Sellars (1963, pp. 177-189). Cartesians may grant that ascribing cognitive activity to non-linguistic creatures is instrumentally useful, but they regard such ascriptions as strictly speaking false. The second extreme doctrine, espoused by Gassendi, Hume, and Locke, maintains that linguistic and non-linguistic cognition are fundamentally the same. Modern proponents include Fodor (2003), Peacocke (1997), Stalnaker (1984), and many others. Proponents may grant that non- linguistic creatures entertain a narrower range of thoughts than us, but they deny any principled difference in kind.1 2 An intermediate position holds that non-linguistic creatures display cognitive activity of a fundamentally different kind than human thought. Hobbes and Leibniz favored this intermediate position. Modern advocates include Bermudez (2003), Carruthers (2002, 2004), Dummett (1993, pp. 147-149), Malcolm (1972), and Putnam (1992, pp. 28-30). -
Zeno of Elea: Where Space, Time, Physics, and Philosophy Converge
Western Kentucky University TopSCHOLAR® Honors College Capstone Experience/Thesis Honors College at WKU Projects Fall 2007 Zeno of Elea: Where Space, Time, Physics, and Philosophy Converge An Everyman’s Introduction to an Unsung Hero of Philosophy William Turner Western Kentucky University Follow this and additional works at: http://digitalcommons.wku.edu/stu_hon_theses Part of the Other Philosophy Commons, Other Physics Commons, and the Philosophy of Science Commons Recommended Citation Turner, William, "Zeno of Elea: Where Space, Time, Physics, and Philosophy Converge An Everyman’s Introduction to an Unsung Hero of Philosophy" (2007). Honors College Capstone Experience/Thesis Projects. Paper 111. http://digitalcommons.wku.edu/stu_hon_theses/111 This Thesis is brought to you for free and open access by TopSCHOLAR®. It has been accepted for inclusion in Honors College Capstone Experience/ Thesis Projects by an authorized administrator of TopSCHOLAR®. For more information, please contact [email protected]. P │ S─Z─T │ P Zeno of Elea: Where Space, Time, Physics, and Philosophy Converge An Everyman’s Introduction to an Unsung Hero of Philosophy Will Turner Western Kentucky University Abstract Zeno of Elea, despite being among the most important of the Pre-Socratic philosophers, is frequently overlooked by philosophers and scientists alike in modern times. Zeno of Elea’s arguments on have not only been an impetus for the most important scientific and mathematical theories in human history, his arguments still serve as a basis for modern problems and theoretical speculations. This is a study of his arguments on motion, the purpose they have served in the history of science, and modern applications of Zeno of Elea’s arguments on motion. -
Diogenes Laertius, Vitae Philosophorum, Book Five
Binghamton University The Open Repository @ Binghamton (The ORB) The Society for Ancient Greek Philosophy Newsletter 12-1986 The Lives of the Peripatetics: Diogenes Laertius, Vitae Philosophorum, Book Five Michael Sollenberger Mount St. Mary's University, [email protected] Follow this and additional works at: https://orb.binghamton.edu/sagp Part of the Ancient History, Greek and Roman through Late Antiquity Commons, Ancient Philosophy Commons, and the History of Philosophy Commons Recommended Citation Sollenberger, Michael, "The Lives of the Peripatetics: Diogenes Laertius, Vitae Philosophorum, Book Five" (1986). The Society for Ancient Greek Philosophy Newsletter. 129. https://orb.binghamton.edu/sagp/129 This Article is brought to you for free and open access by The Open Repository @ Binghamton (The ORB). It has been accepted for inclusion in The Society for Ancient Greek Philosophy Newsletter by an authorized administrator of The Open Repository @ Binghamton (The ORB). For more information, please contact [email protected]. f\îc|*zx,e| lîâ& The Lives of the Peripatetics: Diogenes Laertius, Vitae Philosoohorum Book Five The biographies of six early Peripatetic philosophers are con tained in the fifth book of Diogenes Laertius* Vitae philosoohorum: the lives of the first four heads of the sect - Aristotle, Theophras tus, Strato, and Lyco - and those of two outstanding members of the school - Demetrius of Phalerum and Heraclides of Pontus, For the history of two rival schools, the Academy and the Stoa, we are for tunate in having not only Diogenes' versions in 3ooks Four and Seven, but also the Index Academicorum and the Index Stoicorum preserved among the papyri from Herculaneum, But for the Peripatos there-is no such second source. -
Oriental Foundations of Pythagorean Studies
Annals of R.S.C.B., ISSN:1583-6258, Vol. 25, Issue 2, 2021, Pages. 479 - 489 Received 20 January 2021; Accepted 08 February 2021. Oriental Foundations of Pythagorean Studies Ruzmatova Gulnoz Miraxrarovna Doctor of Philosophy, Professor of the Department of Philosophy and Logic, Faculty of Social Sciences, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan. Abstract:The article tried to cover in detail the socio-philosophical views of Pythagoras, the theory of knowledge, his teachings on the human psyche, oriental motives in the formation of his attitude to man. In the works of Pythagoras there are different interpretations of the myths about the afterlife of the human soul. The question of the eternity of the soul has been shown to be of great importance in the work of Pythagoras. Our goal is to analyze the socio-philosophical, moral views of Pythagoras, as well as the theory of knowledge, his views on man, based on sources. It is revealed that Pythagoras was influenced by ancient myths, the Upanishads, in creating his works. Keywords:Pythagorean philosophy, mythological cosmogony, soul eternity, soul migration, Samkhya philosophy, neo-Platonists, metampsychosis. Introduction It is well known that philosophy is an ancient branch of human spiritual life and knowledge. For almost three thousand years, people in all countries and regions have been in various forms, first in the form of myths, then in the form of certain systems of theoretical structures and whole concepts. crosses the question and tries to answer that question. Now, even at the beginning of the 21st century, there are many theoretical concepts that try to answer the questions posed in the world. -
KEIMPE ALGRA 155-184.Qxd
Ο Ζήνων ο Κιτιέας και η Στωική κοσμολογία: μερικές σημειώσεις και δυο συγκεκριμένες περιπτώσεις. KEIMPE ALGRA Η έκταση και η φύση της συμβολής του Ζήνωνα στη Στωική φυσική και κοσμολογία είναι δύσκολο να θεμελιωθούν. Η ανακοίνωση αυτή μελετά μερικά από τα σχετικά προβλήματα. Η χρήση της ονομαστικής ετικέτας "Ζήνων" από τις αρχαίες μας πηγές δε θα πρέπει πάντα να αξιολογείται επιφανειακά, και η απόδοση καθώς και η διευθέτηση του υλικού του Hans Von Arnim στο Stoicorum Veterum Fragmenta (SVF) δε θα πρέπει να γίνεται αποδεκτή χωρίς κριτική, για λόγους που περιγράφονται σ’ αυτή την εργασία. Παρέχονται δύο συγκεκριμένες περιπτώσεις αποσπασμάτων, οι οποίες, με μια πιο προσεκτική ματιά, δε θα πρέπει να αποδοθούν στο Ζήνωνα. Τελικά, υποστηρίζεται ότι ο Ζήνων δεν ήταν παραγωγικός συγγραφέας σε θέματα φυσικής, και ότι έτυχε στους διαδόχους του ( σε μερικούς από αυτούς) – πιο συγκεκριμένα στον Σφαίρο, στον Κλεάνθη και στον Χρύσιππο – να επεξεργαστούν περαιτέρω και να συγκροτήσουν λεπτομερειακά την φυσική κοσμοεικόνα της Στωικής σχολής. Αυτό σημαίνει πως υπάρχουν περιθώρια ανάπτυξης της φυσικής και της κοσμολογίας στα πλαίσια του αρχαίου Στωικισμού, και πως, συνακόλουθα, είναι ζωτικής σημασίας να διακρίνουμε πιο ξεκάθαρα, απ’ ότι συνήθως, τι πρέπει με ασφάλεια να αποδοθεί στο Ζήνωνα και ότι τέτοιου είδους "κοινά στωικά" δόγματα πρέπεί μόνο πιθανά, ή μερικά, να ανιχνευτούν σ΄αυτόν. Zeno of Citium and Stoic Cosmology: some notes and two case studies KEIMPE ALGRA 1 Zeno of Citium, as indeed the early Stoics in general, conceived of philosophy as consisting of three interrelated parts: logic, physics and ethics.1 But although Zeno’s foundational work covered all three areas, he appears to have had his preferences. -
Mathematical Discourse in Philosophical Authors: Examples from Theon of Smyrna and Cleomedes on Mathematical Astronomy
Mathematical discourse in philosophical authors: Examples from Theon of Smyrna and Cleomedes on mathematical astronomy Nathan Sidoli Introduction Ancient philosophers and other intellectuals often mention the work of mathematicians, al- though the latter rarely return the favor.1 The most obvious reason for this stems from the im- personal nature of mathematical discourse, which tends to eschew any discussion of personal, or lived, experience. There seems to be more at stake than this, however, because when math- ematicians do mention names they almost always belong to the small group of people who are known to us as mathematicians, or who are known to us through their mathematical works.2 In order to be accepted as a member of the group of mathematicians, one must not only have mastered various technical concepts and methods, but must also have learned how to express oneself in a stylized form of Greek prose that has often struck the uninitiated as peculiar.3 Be- cause of the specialized nature of this type of intellectual activity, in order to gain real mastery it was probably necessary to have studied it from youth, or to have had the time to apply oneself uninterruptedly.4 Hence, the private nature of ancient education meant that there were many educated individuals who had not mastered, or perhaps even been much exposed to, aspects of ancient mathematical thought and practice that we would regard as rather elementary (Cribiore 2001; Sidoli 2015). Starting from at least the late Hellenistic period, and especially during the Imperial and Late- Ancient periods, some authors sought to address this situation in a variety of different ways— such as discussing technical topics in more elementary modes, rewriting mathematical argu- ments so as to be intelligible to a broader audience, or incorporating mathematical material di- rectly into philosophical curricula. -
Plato's Cratylus
Cambridge University Press 0521584922 - Plato’s Cratylus David Sedley Frontmatter More information PLATO’S CRATYLUS Plato’s Cratylus is a brilliant but enigmatic dialogue. It bears on a topic, the relation of language to knowledge, which has never ceased to be of central philosophical importance, but tackles it in ways which at times look alien to us. In this radical reappraisal of the dialogue, Professor Sedleyargues that the etymologieswhich take up well over half of it are not an embarrassing lapse or semi-private joke on Plato’s part. On the contrary,if taken seriouslyas theyshould be, theyare the keyto understanding both the dialogue itself and Plato’s linguistic philosophymore broadly.The book’s main argument is so formulated as to be intelligible to readers with no knowledge of Greek, and will have a significant impact both on the studyof Plato and on the history of linguistic thought. david sedley is Laurence Professor of Ancient Philosophyat the Universityof Cambridge. His work has ranged over most periods and subject areas of Greek and Roman philosophy, including a number of editions of philosophical texts preserved on papyrus. He has been a visiting professor at Princeton, Berkeley, Yale and Cornell, and in2004 will be the Sather Professor at Berkeley. He is the author of Lucretius and the Transformation of Greek Wisdom (Cambridge 1998) and (with A. A. Long) The Hellenistic Philosophers (Cambridge 1987), as well as editor of The Cambridge Companion to Greek and Roman Philosophy (Cambridge 2003). He has been editor of Classical Quarterly (1986–92) and, since 1998,ofOxford Studies in Ancient Philosophy. -
Implementing Eratosthenes' Discovery in the Classroom: Educational
Implementing Eratosthenes’ Discovery in the Classroom: Educational Difficulties Needing Attention Nicolas Decamp, C. de Hosson To cite this version: Nicolas Decamp, C. de Hosson. Implementing Eratosthenes’ Discovery in the Classroom: Educational Difficulties Needing Attention. Science and Education, Springer Verlag, 2012, 21 (6), pp.911-920. 10.1007/s11191-010-9286-3. hal-01663445 HAL Id: hal-01663445 https://hal.archives-ouvertes.fr/hal-01663445 Submitted on 18 Dec 2017 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Sci & Educ DOI 10.1007/s11191-010-9286-3 Implementing Eratosthenes’ Discovery in the Classroom: Educational Difficulties Needing Attention Nicolas De´camp • Ce´cile de Hosson Ó Springer Science+Business Media B.V. 2010 Abstract This paper presents a critical analysis of the accepted educational use of the method performed by Eratosthenes to measure the circumference of Earth which is often considered as a relevant means of dealing with issues related to the nature of science and its history. This method relies on a number of assumptions among which the parallelism of sun rays. The assumption of sun rays parallelism (if it is accurate) does not appear spontaneous for students who consider sun rays to be divergent. -
How Ancient Greek Philosophy Can Be Made Relevant to Contemporary Life James Duerlinger*
Journal of Philosophy of Life Vol.1, No.1 (March 2011):1-12 How Ancient Greek Philosophy Can Be Made Relevant to Contemporary Life James Duerlinger* Abstract In this paper, I will explain how ancient Greek philosophy can be made relevant to our lives. I do this by explaining how an instructor of a course in ancient Greek philosophy can teach Greek philosophy in a way that makes its study relevant to how the students in the course live their lives. Since this is the most likely way in which its relevance to contemporary life might be realized in practice, I explain its relevance from this perspective. I contrast the different ways in which ancient Greek philosophy is taught, and give examples of how it can be taught that calls attention to the ways in which what the Greeks said are relevant to how students live their lives. In this paper, I will explain how ancient Greek philosophy can be made relevant to contemporary life. The form in which I will explain this is by discussing how an instructor of a course in ancient Greek philosophy can teach Greek philosophy in a way that makes its study relevant to how the students in the course live their lives, since this is the most likely way in which its relevance to contemporary life might be realized in practice. One of the ways in which many instructors of courses in ancient Greek philosophy attempt to make its study relevant to the interests of their students is to teach the course from the perspective of contemporary analytic philosophy.1 This way to teach the course makes it relevant to students who have a background in contemporary analytic philosophy or wish to pursue a career as a professional philosopher or to seek a historical background to contemporary philosophy.2 A more traditional way to make the course relevant is to teach it as * Professor, Philosophy Department, University of Iowa, 11 Woodland Hts. -
As Guest, Some Pages Are Restricted
RELIG IONS ' ANCIENT AND MODERN B EDWARD GLODD au h o The Stor o Crea t o i n . Animism . y , t r of y f P B 'AMES ALLANSON PI CTON au h o f The li ion o the anth eism. y , t or Re g f Th li fAn en China . B P s G ILES LL . D . P s e Re g ions o ci t y rofes or , rofe sor f h e iv am d o Ch inese in t U n ersit o f C bri ge. B ' E H R R ISO u at Th e l i n f An i n . L Re ig o o c e t reece y AN A N , ect rer Ne vnha m C ll Camb d a u h o of Prole omm a. t o Stud o Greek v o ege, ri ge, t r g y f Rel igion . h e R H on. AMBER AL I SYED f h ud l m f His I B t t . o t e ' a C m e o slam. y , ici o itt e ’ s C un l au h o of The S it o slam and E hics o Isla m. Maje ty s Privy o ci , t r pir f I t f M i and Fe i hism . B Dr. A. C . H ADDON L u o n ag e t s y , ect rer hnolo a Ca m d e n s gt gy t bri g U iver ity . -
Chapter Two Democritus and the Different Limits to Divisibility
CHAPTER TWO DEMOCRITUS AND THE DIFFERENT LIMITS TO DIVISIBILITY § 0. Introduction In the previous chapter I tried to give an extensive analysis of the reasoning in and behind the first arguments in the history of philosophy in which problems of continuity and infinite divisibility emerged. The impact of these arguments must have been enormous. Designed to show that rationally speaking one was better off with an Eleatic universe without plurality and without motion, Zeno’s paradoxes were a challenge to everyone who wanted to salvage at least those two basic features of the world of common sense. On the other hand, sceptics, for whatever reason weary of common sense, could employ Zeno-style arguments to keep up the pressure. The most notable representative of the latter group is Gorgias, who in his book On not-being or On nature referred to ‘Zeno’s argument’, presumably in a demonstration that what is without body and does not have parts, is not. It is possible that this followed an earlier argument of his that whatever is one, must be without body.1 We recognize here what Aristotle calls Zeno’s principle, that what does not have bulk or size, is not. Also in the following we meet familiar Zenonian themes: Further, if it moves and shifts [as] one, what is, is divided, not being continuous, and there [it is] not something. Hence, if it moves everywhere, it is divided everywhere. But if that is the case, then everywhere it is not. For it is there deprived of being, he says, where it is divided, instead of ‘void’ using ‘being divided’.2 Gorgias is talking here about the situation that there is motion within what is.