This is the first comprehensive study for nearly 200 years of what remains of the writings of the Presocratic philosopher Philolaus of Croton. These fragments are crucial to our understanding of one of the most influential schools of ancient philosophy, the Pythagoreans; they also show close ties with the main lines of development of Presocratic thought, and represent a significant response to thinkers such as Parmenides and Anaxagoras. Professor Huffman presents the fragments and testimonia with accompanying translations and introductory (...) chapters and interpretive commentary. He not only produces further argument for the authenticity of much that used to be neglected, but also undertakes a critique of Aristotle's testimony, opening the way for a quite new reading of fifth-century Pythagoreanism in general and of Philolaus in particular. Philolaus is revealed as a serious natural philosopher. (shrink)

Archytas of Tarentum is one of the three most important philosophers in the Pythagorean tradition, a prominent mathematician, who gave the first solution to the famous problem of doubling the cube, an important music theorist, and the leader of a powerful Greek city-state. He is famous for sending a trireme to rescue Plato from the clutches of the tyrant of Syracuse, Dionysius II, in 361 BC. This 2005 study was the first extensive enquiry into Archytas' work in any language. It (...) contains original texts, English translations and a commentary for all the fragments of his writings and for all testimonia concerning his life and work. In addition there are introductory essays on Archytas' life and writings, his philosophy, and the question of authenticity. Carl A. Huffman presents an interpretation of Archytas' significance both for the Pythagorean tradition and also for fourth-century Greek thought, including the philosophies of Plato and Aristotle. (shrink)

This is a comprehensive, authoritative and innovative account of Pythagoras and Pythagoreanism, one of the most enigmatic and influential philosophies in the West. In twenty-one chapters covering a timespan from the sixth century BC to the seventeenth century AD, leading scholars construct a number of different images of Pythagoras and his community, assessing current scholarship and offering new answers to central problems. Chapters are devoted to the early Pythagoreans, and the full breadth of Pythagorean thought is explored including politics, religion, (...) music theory, science, mathematics and magic. Separate chapters consider Pythagoreanism in Plato, Aristotle, the Peripatetics and the later Academic tradition, while others describe Pythagoreanism in the historical tradition, in Rome and in the pseudo-Pythagorean writings. The three great lives of Pythagoras by Diogenes Laertius, Porphyry and Iamblichus are also discussed in detail, as is the significance of Pythagoras for the Middle Ages and Renaissance. (shrink)

Recently, the Pythagoreans have received rather more attention, both in their own right and as part of the developing picture of Presocratic thought, than they received for much of the twentieth century. Thanks to these studies, a new and more complicated picture is emerging. This article refines this picture critically examining Aristotle's claims about Pythagorean influence on Plato, along with the related question of who among early Greek thinkers actually counts as a Pythagorean. It provides a reminder that Aristotle's account (...) of the history of earlier thought is always a history of just a part of the philosophy of his predecessors, and makes clear that the eagerness with which some present-day scholars find Pythagorean influence on later thought may be misplaced. (shrink)

In a long note in his epoch-making book on ancient Pythagoreanism Walter Burkert raised some grave doubts about the authenticity of Archytas Fr. 1 which have recently been challenged in an article by A. C. Bowen. In this paper I have two goals. First, I will evaluate Burkert's doubts and the success of some of Bowen's arguments against them. Second, I will present a further consideration that both clarifies the text of the fragment and also removes the most serious problem (...) raised by Burkert. The upshot of both these points is to increase the likelihood that the fragment is authentic. I reproduce the text of just the first part of the fragment as given in DK followed by the text as it appears in the two primary sources, Nicomachus and Porphyry. (shrink)

In this article I want to clarify the text of one of the short maxims assigned to Pythagoras in the ancient tradition, which are known as symbola or acusmata. Before I turn to the acusma in question, it is important to understand the context in which it appears. It occurs in Chapter 17 of Book 4 of Aelian's Historical Miscellany. Aelian's work was written in the early third century a.d. in Rome, and is a ‘miscellaneous collection of anecdotes and historical (...) material’. It consists of short chapters, usually a page or less long, that are for the most part independent of one another. Chapter 17 of Book 4 is about a page long and is devoted to the sayings and doings of Pythagoras. There is no particular connection between it and the surrounding chapters, and it is clearly meant to stand on its own. The preceding chapter tells us that if we went to Callias for guidance he would turn us into drinkers, … if to Alcibiades, arrogant cheats, if to Demosthenes, orators, … if to Aristides, just men, … if to Socrates, wise men. The following chapter recounts an anecdote about Plato's arrival in Sicily and his reception by the tyrant Dionysius the Younger. The chapter that I am concerned with, Chapter 17, begins by asserting that Pythagoras taught that his ‘lineage was superior to that of ordinary mortals’. This is followed by a list of superhuman acts and traits of Pythagoras, for example his ability to be in Metapontum and Croton at the same time and his golden thigh. The second two-thirds of the chapter are then devoted to the miscellaneous teachings of Pythagoras. Most of these take the form of the brief taboos and maxims known elsewhere as symbola or acusmata, among which is the text on which I want to focus here. (shrink)

The Pythagorean Precepts by Aristotle's pupil, Aristoxenus of Tarentum, present the principles of the Pythagorean way of life that Plato praised in the Republic. They are our best guide to what it meant to be a Pythagorean in the time of Plato and Aristotle. The Precepts have been neglected in modern scholarship and this is the first full edition and translation of and commentary on all the surviving fragments. The introduction provides an accessible overview of the ethical system of the (...) Precepts and their place not only in the Pythagorean tradition but also in the history of Greek ethics as a whole. The Pythagoreans thought that human beings were by nature insolent and excessive and that they could only be saved from themselves if they followed a strictly structured way of life. The Precepts govern every aspect of life: e.g. procreation, abortion, child rearing, friendship, religion, desire and even diet. (shrink)

In a long note in his epoch-making book on ancient Pythagoreanism Walter Burkert raised some grave doubts about the authenticity of Archytas Fr. 1 which have recently been challenged in an article by A. C. Bowen. In this paper I have two goals. First, I will evaluate Burkert's doubts and the success of some of Bowen's arguments against them. Second, I will present a further consideration that both clarifies the text of the fragment and also removes the most serious problem (...) raised by Burkert. The upshot of both these points is to increase the likelihood that the fragment is authentic. I reproduce the text of just the first part of the fragment as given in DK followed by the text as it appears in the two primary sources, Nicomachus and Porphyry. (shrink)

In Archytas of Tarentum, Carl Huffman reconstructs Archytas’ theory of definition by linking definitions to the mathematical study of ratios and proportions. This paper considers whether and how Archytas used definitions and whether he possessed a theory of definition. Our evidence does not support the claim that Archytas has a theory of definition, and his approach to the science of harmonics suggests that he relied on analogies and proportions in the practice of inquiry. We understand sounds and other (...) entities by placing them in a network of relations governed by mathematical proportions. Although he does not seem to have formulated definitions of sound, Archytas pursued inquiry into motion and rest by formulating definitions in such a way that they fit into a larger network of causal explanations. (shrink)

A review of Carl Huffman's new edition of the fragments of Archytas of Tarentum. Praises the extensive commentary on four fragments, but argues that at least two dubious works not included in the edition ("On Law and Justice" and "On Wisdom") deserve further consideration and contain important information for the interpretation of Archytas. Provides a complete translation for the fragments of those works.

Like his fellow first-generation Peripatetic Theophrastus, Aristoxenus wrote an extraordinary number of works. Many concerned music; one on Socrates contained evidence independent of Plato and Xenophon. At least five concerned Pythagoreanism: The Life of Pythagoras, On Pythagoras and His Associates, On the Pythagorean Way of Life, Life of Archytas, and the Pythagorean Precepts. This last one, as Carl Huffman...

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Cambridge Companion to Early Greek PhilosophyPatricia CurdA. A. Long, editor. The Cambridge Companion to Early Greek Philosophy. Cambridge: Cambridge University Press, 1999. Pp. xxxii + 427. Cloth, $54.95. Paper, $19.95.The Cambridge Companions are designed both to introduce and to survey, aims that anyone who teaches introductory courses knows are not fully compatible. The Cambridge Companion to Early Greek Philosophy is successful because its contributors have kept to (...) a uniform tone of mostly introduction, with some reference to recent developments and controversies in the field. There are sixteen essays, with a judicious mix of chapters on particular figures and on general topics.A. A. Long provides a helpful introduction, discussing the problems of dealing with the fragmentary evidence for these philosophers, and giving an account of the nature and scope of early Greek thought. (He also argues—not entirely persuasively—that we should give up the nineteenth century name "Presocratics" for these thinkers.) Jaap Mansfeld explains the problems of sources and doxography (the chapter is quite compressed and could be rather overwhelming for the newcomer to the area), while Keimpe Algra surveys Ionian cosmology. Carl Huffman provides a masterful discussion of early Pythagoreanism, attempting to sort out what we can and cannot be justified in claiming about Pre-Platonic Pythagoreanism. The chapters on individual thinkers mostly provide systematic overviews. Edward Hussey contributes an exemplary chapter on Heraclitus, and David Sedley one on Parmenides and Melissus (it is good to see Melissus treated seriously), with Richard McKirahan weighing in on Zeno (mostly on the paradoxes of motion but with some attention to the arguments against plurality). The discussions of individual Presocratics are rounded out with Daniel Graham's treatment of Empedocles' and Anaxagoras' responses to Parmenides, and C. C. W. Taylor on the Atomists. Sarah Broadie considers rational theology and James Lesher early Greek epistemology, while André Laks surveys ancient theories of soul, sensation, and thought. Paul Woodruff and Fernanda Decleva Caizzi provide chapters on the Sophists, the former discussing Protagoras and Gorgias, the latter, Protagoras and Antiphon. Mario Vegetti undertakes an examination of the notion of causation in early Greek thought, and Diskin Clay explores the poetics of the Presocratic philosophers. The book opens with short discussions—three paragraphs devoted to life, sources, and works for each of the thinkers who figure in the period (in alphabetical rather than even roughly chronological order), a chronological chart, and a map. There is a large and useful—though necessarily selective— bibliography (supplemented in the notes to some chapters by references to articles that are not included in the main bibliography), an index locorum, and an index of names and subjects that [End Page 429] includes modern scholars "only if their views are cited in the main text or discussed in footnotes" (which makes it difficult to use in tracking down references). Unfortunately, as in all the Cambridge Companions, notes are at the end of articles rather than at the foot of the page, making necessary a fair bit of flipping while reading.How well do the contributors succeed in meeting the needs of the intended readers of the series? For the most part, very well; the novice reader will find this an accessible guide to Early Greek philosophy. The various discussions are solid and well-informed, and the authors have indicated issues and interpretations that are controversial (for example, Taylor takes time to consider objections to his earlier criticism of Vlastos on the connection between atomistic metaphysics and ethics, and Hussey is careful to note the traditional flashpoints of disagreement in Heraclitus interpretation). It is also good that some of the Sophists are included (it is worth considering how viable the traditional distinction between the Sophists and the Philosophers really is), and inclusion of both the medical tradition and the issue of poetics is very welcome. Further chapters considering in more detail the cosmologies of post-Milesians (including Parmenides) and on the philosophical uses made of the early Greek thinkers by Plato and Aristotle would have rounded things out, but these would have made an already big book bigger. As perhaps befits an introductory survey, most of the interpretations lean to the traditional - someone looking for... (shrink)

Patrick L. Miller - Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician-King - Journal of the History of Philosophy 46:1 Journal of the History of Philosophy 46.1 165-166 Muse Search Journals This Journal Contents Reviewed by Patrick Lee Miller Duquesne University Carl Huffman, Archytas of Tarentum: Pythagorean, Philosopher, and Mathematician-King. Cambridge-New York: Cambridge University Press, 2005. Pp. xv + 665. Cloth, $180.00. Archytas of Tarentum has in some ages been considered a major philosopher. He was one of the three (...) most important early Pythagoreans—along with Philolaus and Pythagoras himself—and so his reputation has risen and fallen with the popularity of this movement. When Pythagoreanism captivated some Romans at the end of the Republic, they championed him as a native talent; much later, some medieval Europeans inflated him into one of the great wise men of the ancient world. But Pythagoreanism has ebbed in recent centuries, and Archytas is now known only to specialists in ancient philosophy, and even then only by acquaintance from a few passages of Plato and.. (shrink)

This celebratory Festschrift dedicated to Charles Kahn comprises some 23 articles by friends, former students and colleagues, many of whom first presented their papers at the international "Presocratics and Plato" Symposium in his honor. The conference was organized and sponsored by the HYELE Institute for Comparative Studies, Parmenides Publishing, and Starcom AG, with endorsements from the International Plato Society, and the Dean of the School of Arts and Sciences, University of Pennsylvania. While Kahn's work reaches far beyond the Presocratics and (...) Plato, it is in these subject areas that the distinction of his scholarship has come to be regarded as virtually unrivaled. The articles contributed to this volume are by some of the most renowned scholars working on these topics today, their breadth and depth bearing witness to his profound impact and influence on the discipline of Ancient Greek Philosophy._ Charles Kahn taught Classics and Philosophy at Columbia University from 1957 to 1965, and has since been teaching in the Philosophy Department of the University of Pennsylvania. He spent a year as Visiting Professor at the American School of Classical Studies in Athens, and had additional Visiting Fellowships at Balliol College, Oxford and Clare Hall, Cambridge, and a term as Visiting Professor at Harvard. He is the recipient of several prestigious research grants, from the American Council of Learned Societies, the National Endowment for the Humanities, and the Guggenheim Foundation. In 2000 he was elected Fellow of the National Academy of Arts and Sciences. He is the author of _Anaximander and the Origins of Greek Cosmology, The Verb “Be” in Ancient Greek, The Art and Thought of Heraclitus, Plato and the Socratic Dialogue, Pythagoras and the Pythagoreans, and Essays on Being_. His latest book,_Plato and the Post-Socratic Dialogue_, is forthcoming from Cambridge University Press. _ Contributors: Julia Annas Sarah Broadie Lesley Brown Tomás Calvo-Martínez Diskin Clay John M. Dillon Dorothea Frede Arnold Hermann Carl A. Huffman Enrique Hülsz Piccone D. M. Hutchinson Paul Kalligas Vassilis Karasmanis Aryeh Kosman Anthony A. Long Richard McKirahan Susan Sauvé Meyer Alexander P.D.Mourelatos Satoshi Ogihara Richard Patterson Christopher J. Rowe David Sedley Richard Sorabji. (shrink)

Longtermists have argued that humanity should significantly increase its efforts to prevent catastrophes like nuclear wars, pandemics, and AI disasters. But one prominent longtermist argument overshoots this conclusion: the argument also implies that humanity should reduce the risk of existential catastrophe even at extreme cost to the present generation. This overshoot means that democratic governments cannot use the longtermist argument to guide their catastrophe policy. In this paper, we show that the case for preventing catastrophe does not depend on longtermism. (...) Standard cost-benefit analysis implies that governments should spend much more on reducing catastrophic risk. We argue that a government catastrophe policy guided by cost-benefit analysis should be the goal of longtermists in the political sphere. This policy would be democratically acceptable, and it would reduce existential risk by almost as much as a strong longtermist policy. (shrink)

Intentionality is one of the central problems of modern philosophy. How can a thought, action or belief be about something? Sachs draws on the work of Wilfrid Sellars, C. I. Lewis and Maurice Merleau-Ponty to build a new theory of intentionality that solves many of the problems faced by traditional conceptions. In doing so, he sheds new light on Sellars’s influential arguments concerning the ‘Myth of the Given’ and shows how we can build a productive discourse between American pragmatism, analytical (...) philosophy and European phenomenology. (shrink)

Mr. Wellman’s highly original contribution to the relatively new field of justification in ethics consists of characterizing the different ways in which ethical statements can be challenged and showing how each sort of challenge can be met by an appropriate response, enabling reasonable men to appropriately discuss or reflect on ethical issues. In developing his unique, systematic, methodology of ethics, Mr. Wellman has, first, rigorously reviewed and refuted the main arguments for the view of the nature of all reasoning as (...) deductive and, second, convincingly presented arguments for the existence of nondeductive evidences in ethics. Mr. Wellman’s broad definition of reasoning and his rejection of the identification of justification with reasoning reveals new dimensions of justification which will have wide implications in other areas of human speculation. (shrink)

Over two decades ago, Davids et al. (1994) and Handford et al. (1997) raised theoretical concerns associated with traditional, reductionist, mechanistic perspectives of movement coordination and skill acquisition for sport scientists interested in practical applications for training designs. These seminal papers advocated an emerging consciousness grounded in an ecological approach, signalling the need for sports practitioners to appreciate the constraints-led, deeply entangled and non-linear reciprocity between the organism (performer), task and environment subsystems. Over two decades later, the areas of skill (...) acquisition, practice and training design, performance analysis and preparation, and talent development in sport science have never been so vibrant in terms of theoretical modelling, knowledge generation and innovation, and technological deployment. Viewed at an ecological level of analysis, the work of sports practitioners has progressively transitioned toward the facilitation of an evolving relationship between an organism (athlete, team) and its environment (sports competition). This commentary sets out to explore how these original ideas from Davids et al. (1994) and Handford et al. (1997) have been advanced through the theoretical lens of Ecological Dynamics. Concurrently, we provide case study exemplars, from applied practice in high-performance sports organisations, to illustrate how these contemporary perspectives are shaping the work of sports practitioners (sport ecology designers) in practice and performance preparation. (shrink)

I argue that Sellars’s naturalization of Kant should be understood in terms of how he used behavioristic psychology and cybernetics. I first explore how Sellars used Edward Tolman’s cognitive-behavioristic psychology to naturalize Kant in the early essay “Language, Rules, and Behavior”. I then turn to Norbert Wiener’s understanding of feedback loops and circular causality. On this basis I argue that Sellars’s distinction between signifying and picturing, which he introduces in “Being and Being Known,” can be understood in terms of what (...) I call cybernetic behaviorism. I interpret picturing in terms of cycles of cybernetic behavior and signifying in terms of coordination between cybernetic behavior systems, or what I call triangulated cybernetic behavior. This leads to a formal, naturalistic understanding of personhood as the capacity to engage in triangulated cybernetic behavior. I conclude by showing that Sellars’s thought has the resources, which he did not exploit, for introducing the concept of second-order cybernetics. This suggests that Sellars’s philosophy of mind could be developed in the direction of autopoiesis and enactivism. (shrink)