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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. -
Democritus C
Democritus c. 460 BC-c. 370 BC (Also known as Democritus of Abdera) Greek philosopher. home to the philosopher Protagoras. There are several indications, both external and internal to his writings, The following entry provides criticism of Democritus’s that Democritus may have held office in Abdera and life and works. For additional information about Democ- that he was a wealthy and respected citizen. It is also ritus, see CMLC, Volume 47. known that he traveled widely in the ancient world, visit- ing not only Athens but Egypt, Persia, the Red Sea, pos- sibly Ethiopia, and even India. Scholars also agree that he INTRODUCTION lived a very long life of between 90 and 109 years. Democritus of Abdera, a contemporary of Socrates, stands Democritus is said to have been a pupil of Leucippus, an out among early Greek philosophers because he offered important figure in the early history of philosophy about both a comprehensive physical account of the universe and whom little is known. Aristotle and others credit Leucippus anaturalisticaccountofhumanhistoryandculture. with devising the theory of atomism, and it is commonly Although none of his works has survived in its entirety, believed that Democritus expanded the theory under his descriptions of his views and many direct quotations from tutelage. However, some scholars have suggested that his writings were preserved by later sources, beginning Leucippus was not an actual person but merely a character with the works of Aristotle and extending to the fifth- in a dialogue written by Democritus that was subsequently century AD Florigelium (Anthology) of Joannes Stobaeus. lost. A similar strategy was employed by the philosopher While Plato ignored Democritus’s work, largely because he Parmenides, who used the character of a goddess to elu- disagreed with his teachings, Aristotle acknowledged De- cidate his views in his didactic poem, On Nature. -
THE PHILOSOPHY BOOK George Santayana (1863-1952)
Georg Hegel (1770-1831) ................................ 30 Arthur Schopenhauer (1788-1860) ................. 32 Ludwig Andreas Feuerbach (1804-1872) ...... 32 John Stuart Mill (1806-1873) .......................... 33 Soren Kierkegaard (1813-1855) ..................... 33 Karl Marx (1818-1883).................................... 34 Henry David Thoreau (1817-1862) ................ 35 Charles Sanders Peirce (1839-1914).............. 35 William James (1842-1910) ............................ 36 The Modern World 1900-1950 ............................. 36 Friedrich Nietzsche (1844-1900) .................... 37 Ahad Ha'am (1856-1927) ............................... 38 Ferdinand de Saussure (1857-1913) ............. 38 Edmund Husserl (1859–1938) ....................... 39 Henri Bergson (1859-1941) ............................ 39 Contents John Dewey (1859–1952) ............................... 39 Introduction....................................................... 1 THE PHILOSOPHY BOOK George Santayana (1863-1952) ..................... 40 The Ancient World 700 BCE-250 CE..................... 3 Miguel de Unamuno (1864-1936) ................... 40 Introduction Thales of Miletus (c.624-546 BCE)................... 3 William Du Bois (1868-1963) .......................... 41 Laozi (c.6th century BCE) ................................. 4 Philosophy is not just the preserve of brilliant Bertrand Russell (1872-1970) ........................ 41 Pythagoras (c.570-495 BCE) ............................ 4 but eccentric thinkers that it is popularly Max Scheler -
Velázquez's Democritus
Velázquez’s Democritus: Global Disillusion and the Critical Hermeneutics of a Smile javier berzal de dios Western Washington University Velázquez’s Democritus (ca. 1630) presents a unique encounter: not only are there few depictions in which the Greek philosopher appears with a sphere that shows an actual map, but Velázquez used a court jester as a model for Democritus, thus placing the philosopher within a courtly space. When we study the painting in relation to the literary interests of the Spanish Golden Age and its socio-political circumstances, we can see the figure of Democritus as far from just another instantiation of a conven- tional trope. The philosopher’s smile and his crepuscular globe entrap the viewer in a semiotic game with pedagogical and ethical goals. While the scholarship on the painting has dwelt extensively on the identification of the figure, this essay moves beyond the superficial aspects of subject identity in order to explore how the painting articulates and requests a profoundly philosophical engagement. I thus exa- mine Democritus in relation to contemporary literary and philosophical themes, many of which were present in Velázquez’s own personal library: the period’s understanding of the philosopher, cartographic spheres, and treatises on laughter. Considered in this manner, Velázquez’s figure is not responding to the folly of humanity in general, as is commonly the case in representations of the philosopher, but is rather presented through a courtly prism in which conquest, geography, and politics are inescapably interrelated. Velázquez’s Democritus emphasizes the philosophical and moral qualities of a learned and decorous laughter, which performs a critical and ethical role framed by Spain’s political difficulties. -
Seminar in Greek Philosophy Pyrrhonian Scepticism 1
PHILOSOPHY 210: SEMINAR IN GREEK PHILOSOPHY 1 PYRRHONIAN SCEPTICISM Monte Johnson [email protected] UCSD Fall 2014 Course Description Pyrrhonian scepticism, as represented in the works of Sextus Empiricus, presents both a culmination and critique of the whole achievement of Greek philosophy, and was a major influence on the renaissance and the scientific revolutions of the seventeenth century, and continues to influence contemporary epistemology. In this seminar, we will get a general overview of Pyrrhonian scepticism beginning with the doxographies in Book IX of Diogenes Laertius, Lives of the Famous Philosophers (including Heraclitus, Xenophanes, Parmenides, Zeno of Elea, Leucippus, Democritus, Protagoras, Diogenes of Apollonia, Anaxarchus, Pyrrho, and Timon). The core part of the course will consist of a close reading and discussion of the three books of the Outlines of Pyrhhonian Scepticism by Sextus Empiricus, along with a more detailed examination of the treatment of logic, physics, and ethics in his Against the Dogmatists VII-XI. The last three weeks of the seminar will be devoted to student presentations relating Pyrrhonian scepticism to their own interests in philosophy (whether topical or historical). Goals • Learn techniques of interpreting and criticizing works of ancient philosophy in translation, including fragmentary works. • Obtain an overview of ancient scepticism, especially Pyrrhonian scepticism, its textual basis, predecessors, and influence upon later philosophy and science. • Conduct original research relating ancient skepticism to your own philosophical interests; compile an annotated bibliography and craft a substantial research paper. • Develop skills in discussing and presenting philosophical ideas and research, including producing handouts, leading discussions, and fielding questions. Evaluation 10% Participation and discussion. -
Zeno of Elea Born Around 489 BC This Zeno, As Opposed to Zeno Of
Zeno of Elea Born around 489 BC This Zeno, as opposed to Zeno of Citium, is perhaps most famous for his paradoxes. These strange scenarios are designed to make the think about mathematics and physics in new and different ways. Zeno was opposed to many of the ideas of Pythagoras, supported many of the ideas of Parmenides. His paradoxes have been reconstructed in slightly different ways by modern scientists from his cryptic and fragmentary writings. • Let us suppose that reality is made up of units. These units are either with magnitude or without magnitude. If the former, then a line for example, as made up of units possessed of magnitude, will be infinitely divisible, since, however far you divide, the units will still have magnitude and so be divisible. But in this case, the line will be made up of an infinite number of units, each of which is possessed of magnitude. The line, then, must be infinitely great, as composed of an infinite number of bodies. Everything in the world, then, must be infinitely great, and a forteriori the world itself must be infinitely great. Suppose, on the other hand, that the units are without magnitude. In this case, the whole universe will also be without magnitude, since, however many units you add together, if none of them has any magnitude, then the whole collection of them will also be without magnitude. But if the universe is without any magnitude, it must be infinitely small. Indeed, everything in the universe must be infinitely small. Either everything in the universe is infinitely great, or everything in the universe is infinitely small. -
Nietzsche's Views on Plato Pre-Basel
Sophia and Philosophia Volume 1 Issue 1 Spring-Summer Article 6 4-1-2016 Nietzsche's Views on Plato Pre-Basel Daniel Blue [email protected] Follow this and additional works at: https://repository.belmont.edu/sph Part of the Ancient History, Greek and Roman through Late Antiquity Commons, German Language and Literature Commons, History of Philosophy Commons, Logic and Foundations of Mathematics Commons, and the Metaphysics Commons Recommended Citation Blue, Daniel (2016) "Nietzsche's Views on Plato Pre-Basel," Sophia and Philosophia: Vol. 1 : Iss. 1 , Article 6. Available at: https://repository.belmont.edu/sph/vol1/iss1/6 This Article is brought to you for free and open access by Belmont Digital Repository. It has been accepted for inclusion in Sophia and Philosophia by an authorized editor of Belmont Digital Repository. For more information, please contact [email protected]. S.Ph. Essays and Explorations 1.1 Copyright 2016, S.Ph. Press Nietzsche’s Views on Plato Pre-Basel Daniel Blue In an essay published in 20041 Thomas Brobjer surveyed Nietzsche’s attitudes toward Plato and argued that, far from entering into a dedicated agon with that philosopher, he had little personal engagement with Plato’s views at all. Certainly, he did not grapple so immediately and fruitfully with him as he did with Emerson, Schopenhauer, Lange, and even Socrates. Instead, he merely “set up a caricature of Plato as a representative of the metaphysical tradition … to which he opposed his own.”2 This hardly reflects the view of Nietzsche scholarship in general, but Brobjer argued his case vigorously by ranging broadly over Nietzsche’s life, collating his assessments of Plato, and then noting certain standard views which he believes to be overstated. -
Anaximander and the Problem of the Earth's Immobility
Binghamton University The Open Repository @ Binghamton (The ORB) The Society for Ancient Greek Philosophy Newsletter 12-28-1953 Anaximander and the Problem of the Earth's Immobility John Robinson Windham College Follow this and additional works at: https://orb.binghamton.edu/sagp Recommended Citation Robinson, John, "Anaximander and the Problem of the Earth's Immobility" (1953). The Society for Ancient Greek Philosophy Newsletter. 263. https://orb.binghamton.edu/sagp/263 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]. JOHN ROBINSON Windham College Anaximander and the Problem of the Earth’s Immobility* N the course of his review of the reasons given by his predecessors for the earth’s immobility, Aristotle states that “some” attribute it I neither to the action of the whirl nor to the air beneath’s hindering its falling : These are the causes with which most thinkers busy themselves. But there are some who say, like Anaximander among the ancients, that it stays where it is because of its “indifference” (όμοιότητα). For what is stationed at the center, and is equably related to the extremes, has no reason to go one way rather than another—either up or down or sideways. And since it is impossible for it to move simultaneously in opposite directions, it necessarily stays where it is.1 The ascription of this curious view to Anaximander appears to have occasioned little uneasiness among modern commentators. -
Humor As Philosophical Subversion, Especially in the Skeptics
Humor as Philosophical Subversion, Especially in the Skeptics Richard Bett 1. Introduction Aristotle is not exactly a comedian. He wrote about comedy in the lost second book of the Poetics, and, as discussed in another paper in this volume, he wrote about wittiness (εὐτραπελία) in his ethical works. But he does not exhibit much of either. What humor there is in Aristotle seems to fall into two main varieties. First, there is word-play that engages the reader’s attention, which can perhaps be seen as an instance of a technique he describes in Rhetoric 3.10, that of saying “smart things and things that create a good impression” (τὰ ἀστεῖα καὶ τὰ εὐδοκιµοῦντα, 1410b6).1 Early in the Nicomachean Ethics, he says that in endeavoring to determine the principles (ἀρχαί) of ethics, we should begin (ἀρκτέον) with things known to us (1095b2-4). A little later, introducing the idea of the function (ἔργον) of a human being, he asks whether we can seriously consider that a human being as such (as opposed to people in various occupations) is ἀργόν (1097b28- 30) – which is intentionally ambiguous between “without function” and “lazy.” In De Caelo, introducing the topic of minimal magnitudes, he says that positing such a minimal magnitude (τοὐλάχιστον) will make the biggest difference (τὰ µέγιστα) in mathematics (271b10-11). And in De Interpretatione, discussing names, he says that “non-human 1 Unless otherwise noted, translations are my own. In the case of Timon, I sometimes draw on translations in Bett 2000 and Bett 2015. In the case of Sextus I generally draw on Bett 1997, Bett 2005, and Bett 2012. -
Thales of Miletus Sources and Interpretations Miletli Thales Kaynaklar Ve Yorumlar
Thales of Miletus Sources and Interpretations Miletli Thales Kaynaklar ve Yorumlar David Pierce October , Matematics Department Mimar Sinan Fine Arts University Istanbul http://mat.msgsu.edu.tr/~dpierce/ Preface Here are notes of what I have been able to find or figure out about Thales of Miletus. They may be useful for anybody interested in Thales. They are not an essay, though they may lead to one. I focus mainly on the ancient sources that we have, and on the mathematics of Thales. I began this work in preparation to give one of several - minute talks at the Thales Meeting (Thales Buluşması) at the ruins of Miletus, now Milet, September , . The talks were in Turkish; the audience were from the general popu- lation. I chose for my title “Thales as the originator of the concept of proof” (Kanıt kavramının öncüsü olarak Thales). An English draft is in an appendix. The Thales Meeting was arranged by the Tourism Research Society (Turizm Araştırmaları Derneği, TURAD) and the office of the mayor of Didim. Part of Aydın province, the district of Didim encompasses the ancient cities of Priene and Miletus, along with the temple of Didyma. The temple was linked to Miletus, and Herodotus refers to it under the name of the family of priests, the Branchidae. I first visited Priene, Didyma, and Miletus in , when teaching at the Nesin Mathematics Village in Şirince, Selçuk, İzmir. The district of Selçuk contains also the ruins of Eph- esus, home town of Heraclitus. In , I drafted my Miletus talk in the Math Village. Since then, I have edited and added to these notes. -
I Were Zeno's Arguments a Reply to Attacks Upon Parmenides?
Were Zeno's a Arguments Reply To Attacks upon Parmenides? N. B. BOOTH NE of the mysteries about Zeno of Elea's arguments is that, whereas learn from all the available that Zeno was we evidence particularly concerned to defend the One of Parmenides 1, yet we find him, in his arguments about plurality, doing all that he can to refute the "ones" of a plurality.2 This would be reasonable if we could be sure that his arguments were valid only against the "ones" of a plurality, not against Parmenides's One; but it is by no means certain that this is true, as we shall see in the course of my discussion. The difficulty was already felt by the ancient commentators 3, and perhaps by Plato as well 4 ; it may be a "pseudo-problem", but if so, it is a pseudo-problem of some antiquity. One suggested solution is to the effect that, before Zeno produced his 5 arguments, certain critics had attacked Parmenides's One with much the same arguments as Zeno later used to attack the "ones" of the pluralists. The two main sources of evidence 6 for this suggestion are a passage in Plato's Parmenides ( i 2 8 c), and Zeno's arguments themselves ' ; a third is possibly to be found in the arguments of Parmenides's other pupil, Melissus.8 There is, regrettably, no definite statement on the subject in any of our authorities. In the passage from the Parmenides ( i 2 8 c), Plato makes the character "Zeno" apologize for the shortcomings of his book about plurality: "It I is really an attempt to support Parmenides's argument against those who try to redicule his theory that 'One is', saying that, if 'One is', then many absurd and inconsistent conclusions follow.