The Pythagorean Table of Opposites, Symbolic Classification, and Aristotle
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The Epistemic Value of 'Κατά Τόν Λόγον': Meteorology
The epistemic value of ‘κατά τόν λόγον’: Meteorology 1.7 By Eleftheria Rotsia Dimou Submitted to Central European University Department of Philosophy In partial fulfillment of the requirements for the one year MA degree of Philosophy Supervisor: Associate Professor István Bodnár Budapest, Hungary 2018 CEU eTD Collection © Copyright by Eleftheria Rotsia Dimou, 2018 1 Τὸν μὲν οὖν Ἀναξαγόραν φασὶν ἀποκρίνασθαι πρός τινα διαποροῦντα τοιαῦτ ̓ ἄττα καὶ διερωτῶντα τίνος ἕνεκ ̓ ἄν τις ἕλοιτο γενέσθαι μᾶλλον ἢ μὴ γενέσθαι ‘τοῦ’ φάναι “θεωρῆσαι τὸν οὐρανὸν καὶ τὴν περὶ τὸν ὅλον κόσμον τάξιν”. (Aristotle, E.E Ι, 1216a12–14). CEU eTD Collection 2 Contents 1. Abstract ……………………………………………………….……4 2. Acknowledgments……………………………………..……………5 3. Introduction……………………………………………..…………..6 4. Part I: An Ontological Question…………………………...……….9 5. Part II: An Epistemological Question……………………………..14 6. Concluding Remarks…………………………………………..…..38 7. Bibliography………………………………………………………40 CEU eTD Collection 3 Abstract Ι will attempt to shed some light on the troubling matter of the obscure particulars ― treated by Aristotle in Meteorology ― (τῶν ἀφανῶν τῇ αἰσθήσει), that is, phenomena which are not apparent to the senses in their full extent (Meteorology 344a5). In the framework of the present paper, the aim is to highlight the use of κατά τόν λόγον which appears in the first lines of chapter I.7 of Aristotle’s Meteorology, by focusing on two philosophical questions: one ontological (what is the ontological status of obscure phenomena?) and one epistemological (can we come to the knowledge of such phenomena, and if so, in which way?). Aristotle proposes two answers to these questions in the text, respectively: The meteora (and therefore the comets discussed in chapter I.7 of Meteorology) are natural entities. -
Thinking Outside the Sphere Views of the Stars from Aristotle to Herschel Thinking Outside the Sphere
Thinking Outside the Sphere Views of the Stars from Aristotle to Herschel Thinking Outside the Sphere A Constellation of Rare Books from the History of Science Collection The exhibition was made possible by generous support from Mr. & Mrs. James B. Hebenstreit and Mrs. Lathrop M. Gates. CATALOG OF THE EXHIBITION Linda Hall Library Linda Hall Library of Science, Engineering and Technology Cynthia J. Rogers, Curator 5109 Cherry Street Kansas City MO 64110 1 Thinking Outside the Sphere is held in copyright by the Linda Hall Library, 2010, and any reproduction of text or images requires permission. The Linda Hall Library is an independently funded library devoted to science, engineering and technology which is used extensively by The exhibition opened at the Linda Hall Library April 22 and closed companies, academic institutions and individuals throughout the world. September 18, 2010. The Library was established by the wills of Herbert and Linda Hall and opened in 1946. It is located on a 14 acre arboretum in Kansas City, Missouri, the site of the former home of Herbert and Linda Hall. Sources of images on preliminary pages: Page 1, cover left: Peter Apian. Cosmographia, 1550. We invite you to visit the Library or our website at www.lindahlll.org. Page 1, right: Camille Flammarion. L'atmosphère météorologie populaire, 1888. Page 3, Table of contents: Leonhard Euler. Theoria motuum planetarum et cometarum, 1744. 2 Table of Contents Introduction Section1 The Ancient Universe Section2 The Enduring Earth-Centered System Section3 The Sun Takes -
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. -
Max Planck Institute for the History of Science Aristotle And
MAX-PLANCK-INSTITUT FÜR WISSENSCHAFTSGESCHICHTE Max Planck Institute for the History of Science 2012 PREPRINT 422 TOPOI – Towards a Historical Epistemology of Space Pietro Daniel Omodeo, Irina Tupikova Aristotle and Ptolemy on Geocentrism: Diverging Argumentative Strategies and Epistemologies TOPOI – TOWARDS A HISTORICAL EPISTEMOLOGY OF SPACE The TOPOI project cluster of excellence brings together researchers who investigate the formation and transformation of space and knowledge in ancient civilizations and their later developments. The present preprint series presents the work of members and fellows of the research group Historical Epistemology of Space which is part of the TOPOI cluster. The group is based on a cooperation between the Humboldt University and the Max Planck Institute for the History of Science in Berlin and commenced work in September 2008. Contents 1 Introduction 1 2 Aristotle 5 2.1 Aristotle’s confrontation with the cosmologies of his prede- cessors . 6 2.2 Aristotle’s presentation of his own views . 9 3 Ptolemy 15 3.1 The heavens move like a sphere . 16 3.2 The Earth, taken as a whole, is sensibly spherical . 24 3.3 The Earth is in the middle of the heavens . 24 3.4 The Earth has the ratio of a point to the heavens . 32 3.5 The Earth does not have any motion from place to place . 33 4 Conclusions and perspectives 37 Chapter 1 Introduction This paper aims at a comparison of the different argumentative strategies employed by Aristotle and Ptolemy in their approaches to geocentrism through an analysis of their discussion of the centrality of the Earth in De caelo II, 13-14 and Almagest, I, 3-7. -
Exclusivity, Teleology and Hierarchy: Our Aristotelean Legacy
Know!. Org. 26(1999)No.2 65 H.A. Olson: Exclusivity, Teleology and Hierarchy: Our Aristotelean Legacy Exclusivity, Teleology and Hierarchy: Our Aristotelean Legacy Hope A. Olson School of Library & Information Studies, University of Alberta Hope A. Olson is an Associate Professor and Graduate Coordinator in the School of Library and Information Studies at the University of Alberta in Edmonton, Alberta, Canada. She holds a PhD from the University of Wisconsin-Madison and MLS from the University of Toronto. Her re search is generally in the area of subject access to information with a focus on classification. She approaches this work using feminist, poststructural and postcolonial theory. Dr. Olson teaches organization of knowledge, cataloguing and classification, and courses examining issues in femi nism and in globalization and diversity as they relate to library and information studies. Olson, H.A. (1999). Exclusivity, Teleology and Hierarchy: Our Aristotelean Legacy. Knowl· edge Organization, 26(2). 65-73. 16 refs. ABSTRACT: This paper examines Parmenides's Fragments, Plato's The Sophist, and Aristotle's Prior AnalyticsJ Parts ofAnimals and Generation ofAnimals to identify three underlying presumptions of classical logic using the method of Foucauldian discourse analysis. These three presumptions are the notion of mutually exclusive categories, teleology in the sense of linear progression toward a goal, and hierarchy both through logical division and through the dominance of some classes over others. These three presumptions are linked to classificatory thought in the western tradition. The purpose of making these connections is to investi gate the cultural specificity to western culture of widespread classificatory practice. It is a step in a larger study to examine classi fication as a cultural construction that may be systemically incompatible with other cultures and with marginalized elements of western culture. -
Philoponus on the Nature of the Heavens and the Movement of Elements in Against Aristotle on the Eternity of the World
_full_journalsubtitle: Journal of Patrology and Critical Hagiography _full_abbrevjournaltitle: SCRI _full_ppubnumber: ISSN 1817-7530 (print version) _full_epubnumber: ISSN 1817-7565 (online version) _full_issue: 1 _full_issuetitle: 0 _full_alt_author_running_head (change var. to _alt_author_rh): Varlamova _full_alt_articletitle_running_head (change var. to _alt_arttitle_rh): Philoponus on the Nature of the Heavens _full_alt_articletitle_toc: 0 _full_is_advance_article: 0 446 Scrinium 14 (2018) 446-461 Varlamova www.brill.com/scri Philoponus on the Nature of the Heavens and the Movement of Elements in Against Aristotle on the Eternity of the World Maria Varlamova Saint Petersburg State University of Aerospace Instrumentation [email protected] Abstract This paper deals with the John Philoponus' arguments against the eternity of the heav- ens in context of the dispute against the eternity of the world. The theory of eternity of the heavens was defended by Aristotle in his Physics and in the 1st book On the Heavens. In his treatise On Eternity of the World against Aristotle Philoponus attacks the argu- ments of Aristotle in order to prove the essential finititude of the heavens. The Philoponus' arguments are related to the nature and motion of elements and especially to the nature of fire. In order to explore the Philoponus' arguments against Aristotle I compare his doctrine with the Aristotle's theories of elemental nature and celestial motion. Keywords eternity of the heavens – elements – aether – fire – movement – Philoponus – Aristotle * The present study is a part of the project Nr. 16-03-00047, “Nature and movement in the ‘Commentaryon the Physics of Aristotle’ by Michael Psellos. Study of the influence of the late antique tradition, of the correlation between physics and the Orthodox theology, and of the reception in the later Peripatetic physics”, implemented with a financial support of the Russian Foundation for Basic Research. -
A Presocratics Reader
2. THE MILESIANS Thales, Anaximander, and Anaximenes were all from the city of Miletus in Ionia (now the western coast of Turkey) and make up what is referred to as the Milesian “school” of philosophy. Tradition reports that Thales was the teacher of Anaximander, who in turn taught Anaximenes. Aristotle begins his account of the history of philosophy as the search for causes and principles (in Metaphysics I) with these three. 2.1. Thales Thales appears on lists of the seven sages of Greece, a traditional catalog of wise men. The chronicler Apollodorus suggests that he was born around 625 BCE. We should accept this date only with caution, as Apollodorus usually calculated birthdates by assuming that a man was forty years old at the time of his “acme,” or greatest achievement. Thus, Apollodorus arrives at the date by assuming that Thales indeed predicted an eclipse in 585 BCE, and was forty at the time. Plato and Aristotle tell stories about Thales that show that even in ancient times philosophers had a mixed reputation for practicality. 1. (11A9) They say that once when Thales was gazing upwards while doing astronomy, he fell into a well, and that a witty and charming Thracian serving-girl made fun of him for being eager to know the things in the heavens but failing to notice what was just behind him and right by his feet. (Plato, Theaetetus 174a) 2. (11A10) The story goes that when they were reproaching him for his poverty, supposing that philosophy is useless, he learned from his astronomy that the olive crop would be large. -
A Reading of Porphyry's on Abstinence From
UNIVERSITY OF CALIFORNIA Los Angeles Justice Purity Piety: A Reading of Porphyry’s On Abstinence from Ensouled Beings A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Classics by Alexander Press 2020 © Copyright by Alexander Press 2020 ABSTRACT OF THE DISSERTATION Justice Purity Piety: A Reading of Porphyry’s On Abstinence from Ensouled Beings by Alexander Press Doctor of Philosophy in Classics University of California, Los Angeles, 2020 Professor David Blank, Chair Abstract: Presenting a range of arguments against meat-eating, many strikingly familiar, Porphyry’s On Abstinence from Ensouled Beings (Greek Περὶ ἀποχῆς ἐµψύχων, Latin De abstinentia ab esu animalium) offers a sweeping view of the ancient debate concerning animals and their treatment. At the same time, because of its advocacy of an asceticism informed by its author’s Neoplatonism, Abstinence is often taken to be concerned primarily with the health of the human soul. By approaching Abstinence as a work of moral suasion and a work of literature, whose intra- and intertextual resonances yield something more than a collection of propositions or an invitation to Quellenforschung, I aim to push beyond interpretations that bracket the arguments regarding animals as merely dialectical; cast the text’s other-directed principle of justice as wholly ii subordinated to a self-directed principle of purity; or accept as decisive Porphyry’s exclusion of craftsmen, athletes, soldiers, sailors, and orators from his call to vegetarianism. -
The First Solvay: 350 BC Aristotle's Assault on Plato
The First Solvay: 350 BC Aristotle’s Assault on Plato by Susan J. Kokinda May 11—If one looks at the principles embedded in stein’s relativity, Planck’s quantum. and Vernadsky’s Plato’s scientific masterwork,Timaeus , especially from noösphere. But in the immediate foreground was Philo- the vantage point of the work of Einstein and Verna- laus of Croton (in Italy), the earliest Pythagorean from dsky in the Twentieth Century, one can understand why whom any fragments survive. (Fortunately, Philolaus the oligarchy had to carry out a brutal assault on Plato himself survived the arson-murder of most of the and his Academy, an assault led by Aristotle, which ul- second generation of Pythagoreans in Croton, and relo- timately resulted in the imposition of Euclid’s mind- cated to Greece.) In the footprints of those fragments deadening geometry on the world, and the millennia- walks the Timaeus. long set-back of Western civilization. Philolaus’ fragments are like a prelude to the inves- That the oligarchical enemy of mankind responds tigations which fill theTimaeus . And so, astronomy, ge- with brute force to those philosophers and scientists, ometry, and harmony were at the core of the work of who act on the basis of human creativity, was captured Plato’s Academy. Indeed, every member was given the in the opening of Aeschylus’ great tragedy, “Prometheus assignment of developing an hypothesis to account for Bound.” On orders from Zeus, the Olympian ruler, the motions of the heavenly bodies. Kratos (might) and Bios (force) oversaw Prometheus’ And it is to Philolaus that Johannes Kepler refers, in punishment. -
Mathematics and Cosmology in Plato's Timaeus
apeiron 2021; aop Andrew Gregory* Mathematics and Cosmology in Plato’s Timaeus https://doi.org/10.1515/apeiron-2020-0034 Published online March 18, 2021 Abstract: Plato used mathematics extensively in his account of the cosmos in the Timaeus, but as he did not use equations, but did use geometry, harmony and according to some, numerology, it has not been clear how or to what effect he used mathematics. This paper argues that the relationship between mathematics and cosmology is not atemporally evident and that Plato’s use of mathematics was an open and rational possibility in his context, though that sort of use of mathematics has subsequently been superseded as science has progressed. I argue that there is a philosophically and historically meaningful space between ‘primitive’ or unre- flective uses of mathematics and the modern conception of how mathematics relates to cosmology. Plato’s use of mathematics in the Timaeus enabled the cosmos to be as good as it could be, allowed the demiurge a rational choice (of which planetary orbits and which atomic shapes to instantiate) and allowed Timaeus to give an account of the cosmos (where if the demiurge did not have such a rational choice he would not have been able to do so). I also argue that within this space it is both meaningful and important to differentiate between Pythagorean and Platonic uses of number and that we need to reject the idea of ‘Pythagorean/ Platonic number mysticism’. Plato’s use of number in the Timaeus was not mystical even though it does not match modern usage. -
Aristotle on How Animals Move Edited by Andrea Falcon , Stasinos Stavrianeas , with Contributions by Pantelis Golitsis Frontmatter More Information
Cambridge University Press 978-1-108-49133-4 — Aristotle on How Animals Move Edited by Andrea Falcon , Stasinos Stavrianeas , With contributions by Pantelis Golitsis Frontmatter More Information ARISTOTLE ON HOW ANIMALS MOVE The De incessu animalium forms an integral part of Aristotle’s biological corpus but is one of the least studied Aristotelian works both by ancient and modern interpreters. Yet it is a treatise where we can see, with some clarity and detail, Aristotle’s methodology at work. This volume contains a new critical edition of the Greek text, an English translation, and nine in-depth interpretative essays. A general introduction that focuses on the explanatory strategies adopted by Aristotle in the De incessu animalium plus a historical essay on the reception of this work in antiquity and beyond open the volume. No other work of this kind has been published in any modern language. andrea falcon is affiliated with Concordia University, (Montréal, Canada) and University of Milan, La Statale (Italy). He is the author of several books on Aristotle and the Aristotelian tradition, including Aristotle and the Science of Nature: Unity without Uniformity (Cambridge, 2005), Aristotelianism in the First Century BC: Xenarchus of Seleucia (Cambridge, 2011) and, coedited with David Lefebvre, Aristotle’s Generation of Animals: A Critical Guide (Cambridge, 2017). stasinos stavrianeas is an Assistant Professor in the Department of Philosophy at the University of Patras. He specializes in Aristotle’s natural philosophy, biology and metaphysics and is the author of a Modern Greek translation and commentary of Aristotle’s Parts of Animals (2021) and is currently preparing a similar edition of Aristotle’s Generation of Animals. -
Cicero on the Philosophy of Religion
CICERO ON THE PHILOSOPHY OF RELIGION: DE NATURA DEORUM AND DE DIVINATIONE. A Dissertation Presented to the Faculty of the Graduate School of Cornell University in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy by John Patrick Frederick Wynne January 2008 CICERO ON THE PHILOSOPHY OF RELIGION: DE NATURA DEORUM AND DE DIVINATIONE. John Patrick Frederick Wynne, Ph. D. Cornell University, 2008 Cicero wrote de Natura Deorum (dND), de Divinatione (Div.) and de Fato (Fat.) in succession and describes the latter two as continuations of the first. I argue that the three dialogues form a trilogy, in which Cicero as author indicates a stance on the material he presents (but that too little of the fragmentary Fat. remains to be useful for my purposes). There are much-debated attributions of preferences to Cicero’s propriae personae at the conclusions of dND and Div.; I take these preferences to express Cicero’s authorial stance. I examine relevant parts of the speeches to which they react and, first, make philosophical interpretations of each (often comparing other sources for Hellenistic thought) and, second, pay attention to the interaction of Cicero’s characterization of each speaker with the arguments the speaker gives. I find that Balbus in dND advocates the avoidance of superstition and the reform of religious beliefs in line with Stoic physics and that Cotta has a strong commitment to traditional Roman religious views consistent with his sceptical epistemology. Cotta’s scepticism is elusive in its details but perhaps yields a kind of fideism. I find that Quintus Cicero’s advocacy in Div.