The symmetric Macdonald polynomials may be constructed from the nonsymmetric Macdonald polynomials. This allows us to develop the theory of the symmetric Macdonald polynomials by first developing the theory of their nonsymmetric counterparts. In taking this approach we are able to obtain new results as well as simpler and more accessible derivations of a number of the known fundamental properties of both kinds of polynomials.

The _Physics_ is a foundational work of western philosophy, and the crucial one for understanding Aristotle's views on matter, form, essence, causation, movement, space, and time. This richly annotated, scrupulously accurate, and consistent translation makes it available to a contemporary English reader as no other does—in part because it fits together seamlessly with other closely associated works in the New Hackett Aristotle series, such as the _Metaphysics_, _De Anima_, and forthcoming _De Caelo_ and _On Coming to Be and Passing Away_. (...) Eventually the series will include all of Aristotle's works. Sequentially numbered endnotes provide the information most needed at each juncture, while a detailed Index of Terms indicates places where focused discussion of key notions occurs. An illuminating general Introduction describes the book that lies ahead, explaining what sort of work it is and what sorts of evidence it relies on. (shrink)

In this study, Daniel W. Graham addresses two major problems in interpreting Aristotle. First, should we reconcile the apparent inconsistencies of the corpus by assuming an underlying unity of doctrine, or by positing a sequence of developing ideas? Secondly,what is the relation between the so-called logical works on the one hand and the physical-metaphysical treatises on the other? Although the problems appear to be unrelated, Graham finds that the key to the first lies in the second, and (...) in doing so provides the first major alternative to theunitarian approach since Jaeger's pioneering developmental study of 1923. (shrink)

Daniel Graham offers a clear, accurate new translation of the eighth book of Aristotle's Physics, accompanied by a careful philosophical commentary to guide the reader towards understanding of this key text in the history of Western thought. It is the culmination of Aristotle's theory of nature: he explains motion in the universe in terms of a single source and regulating principle, a first `unmoved mover'.

Greek ethics is almost universally taken to be teleological and eudaimonistic. Socrates is understood to be the founder of Greek ethics and hence the figure who instituted the eudaimonistic teleological model. The author wishes to argue to the contrary that Socrates is best taken as a duty theorist or deontologist, for whom teleological considerations are irrelevant, or, more precisely, come in only tangentially. Taking as evidence of Socrates’ position Plato’s Socratic or early dialogues, he examines a moral deliberation Socrates makes (...) in the Crito, showing its commitment to duty over interest; and examine Socrates’ program of moral improvement as expressed in the Apology, in which moral goodness is said to take precedence over personal welfare. Finally, he undertakes to show how the views expressed in the Crito and Apology might fit into a larger theoretical framework in which virtue and duty have a value independent of happiness. (shrink)

Modal realists face a puzzle. For modal realism to be justified, modal realists need to be able to give a successful reduction of modality. A simple argument, however, appears to show that the reduction they propose fails. In order to defend the claim that modal realism is justified, modal realists therefore need to either show that this argument fails, or show that modal realists can give another reduction of modality that is successful. I argue that modal realists cannot do either (...) of these things and that, as a result, modal realism is unjustified and should be rejected. (shrink)

A meteor that fell in northern Greece in 467 BC was said to have been predicted by Anaxagoras. It seems rather that his theory entailed (“predicted”) the possibility of such bodies. The meteor provided a rare case of an observation confirming a theory. The subsequent recognition of the meteor shows that early philosophical theories could have testable consequences and that empirical evidence was being sought to evaluate theories at this early time.

Gregory Vlastos was one of the twentieth century's most influential scholars of ancient philosophy. Over a span of more than fifty years, he published essays and book reviews that established his place as a leading authority on early Greek philosophy. The two volumes that comprise Studies in Greek Philosophy include nearly forty contributions by this acknowledged master of the philosophical essay. Many of these pieces are now considered to be classics in the field. Perhaps more than any other modern scholar, (...) Gregory Vlastos was responsible for raising standards of research, analysis, and exposition in classical philosophy to new levels of excellence. His essays have served as paradigms of scholarship for several generations. Available for the first time in a comprehensive collection, these contributions reveal the author's ability to combine the skills of a philosopher, philologist, and historian of ideas in addressing some of the most difficult problems of ancient philosophy. Volume I collects Vlastos's essays on Presocratic philosophy. Wide-ranging concept studies link Greek science, religion, and politics with philosophy. Individual studies illuminate the thought of major philosophers such as Heraclitus, Parmenides, Anaxagoras, and Democritus. A magisterial series of studies on Zeno of Elea reveals the author's power in source criticism and logical analysis. Volume II contains essays on the thought of Socrates, Plato, and later thinkers and essays dealing with ethical, social, and political issues as well as metaphysics, science, and the foundations of mathematics. (shrink)

Gregory Vlastos was one of the twentieth century's most influential scholars of ancient philosophy. Over a span of more than fifty years, he published essays and book reviews that established his place as a leading authority on early Greek philosophy. The two volumes that comprise Studies in Greek Philosophy include nearly forty contributions by this acknowledged master of the philosophical essay. Many of these pieces are now considered to be classics in the field. Perhaps more than any other modern scholar, (...) Gregory Vlastos was responsible for raising standards of research, analysis, and exposition in classical philosophy to new levels of excellence. His essays have served as paradigms of scholarship for several generations. Available for the first time in a comprehensive collection, these contributions reveal the author's ability to combine the skills of a philosopher, philologist, and historian of ideas in addressing some of the most difficult problems of ancient philosophy. Volume I collects Vlastos's essays on Presocratic philosophy. Wide-ranging concept studies link Greek science, religion, and politics with philosophy. Individual studies illuminate the thought of major philosophers such as Heraclitus, Parmenides, Anaxagoras, and Democritus. A magisterial series of studies on Zeno of Elea reveals the author's power in source criticism and logical analysis. Volume II contains essays on the thought of Socrates, Plato, and later thinkers and essays dealing with ethical, social, and political issues as well as metaphysics, science, and the foundations of mathematics. (shrink)

In Science before Socrates, Daniel W. Graham argues against the belief that the Presocratic philosophers did not produce any empirical science and that the first major Greek science, astronomy, did not develop until at least the time of Plato. Instead, Graham proposes that the advances made by Presocratic philosophers in the study of astronomy deserve to be considered as scientific contributions.

The Paradox of Prime Matter DANIEL W. GRAHAM TRADITIONAL INTERPRETATIONS OF Aristotle hold that he posited the existence of prime matter–a purely indeterminate substratum underlying all material composition and providing the ultimate potentiality for all material existence. A number of revisionary interpretations have appeared in the last thirty years which deny that Aristotle had a concept of prime matter, provoking an even larger number of vigorous defenses claiming that he did have the concept? The traditionalists are clearly in (...) the majority, but some obstacles stand in the way of a general acceptance of prime matter as an Aristotelian concept. In a recent contribution to the debate, William Charlton, an opponent of prime matter, has pointed out that the opposing parties have reached a stalemate in large measure because most of the relevant texts are ambiguous; consequently, "the question whether or not Aristotle believed in prime matter really comes down to the question how far, if at all, it is demanded by his philosophy as a whole. "{\textasciitilde} It seems to me that Charlton is right to shift the focus of the debate from questions of textual exegesis to questions of systematic relevance. However, within the context of Aristotle’s general theory of change, the challenge implicit in his statement can be met, for the concept of prime matter and its associated doctrine is the product of a series of ontological and scientific i Friedrich Solmsen, "Aristotle and Prime Matter," Journal of the History of Ideas 19 (a958): 243-52 and A. R. Lacey,"The Eleatics and Aristotle on Some Problems of Change," ibid. 26 (1965): 451-68; reply to H. R. King’s argument against prime matter, "Aristotle Without Prime Matter," ibid. 17 (1956): 37o-89; H. M. Robinson, "Prime Matter in Aristotle," Phronesis 19 (1974): 168-88 and C. J. F. Williams, Aristotle De Generatione et Corrpuptione, Oxford (1982), Appendix reply to an appendix rejecting prime matter in W. Charlton’s Aristotle’s Physics Books I-H (Oxford, 197o). See also Alan Code, "The Persistence of Aristotelian Matter," Philosophical Studies 29 0976): 357-67, who defends the traditional interpretation of matter against Barrington Jones, "Aristotle’s Introduction of Matter," Philosophical Review 83 (1974): 474-5{\textasciitilde} See also Russell M. Dancy, "Aristotle’s Second Thoughts on Substance," Philosophical Review 87 (1978): 372-413 9 William Charlton, "Prime Matter: A Rejoinder," Phronesis 28 (1983): a97-2a a, 197. 475 476 JOURNAL OF THE HISTORY OF PHILOSOPHY {\textasciitilde}5:4 OCT 1987 commitments made by Aristotle. At the same time, opponents of prime matter have a legitimate basis for criticizing the tradition, for there is something fundamentally wrong with the doctrine. Given Aristotle’s assumptions and commitments, the doctrine of prime matter is not only dialectically inevitable but also systematically incoherent. In this paper I shall not defend the existence of a doctrine of prime matter in Aristotle’s philosophy, although my argument will provide an incidental justification for it by exhibiting its function within Aristotle’s system. My aim here is to explain what is wrong with the doctrine of prime matter. (1) I shall examine a problem concerning prime matter–a problem of which Aristotle was aware and which he thought he had solved. (2) I shall argue that he did not solve the problem, for the doctrine of prime matter entails a paradox for his system. (3) I shall reply to some objections, and (4) I shall offer a tentative diagnosis of how Aristotle could have come to embrace a paradoxical position. 1. According to Aristotle’s theory of change, there is a substratum which underlies every change (Ph. 1.7.19oa33ff). When a thing changes its features, we call that accidental change and identify the substratum as substance. When a thing comes into being or ceases to be, we call that substantial change3 and identify the substratum as matter.4 The most simple bodies of the Aristotelian cosmos are the four traditional "elements": earth, air, fire, and water.5The elements are characterized by the contrary powers hot, cold, wet, and dry. Each element has one member of the contrary pair hot-cold, and one of the contrary pair wet-dry (Gen. Corr. 2.2-3). For Aristotle, it is... (shrink)

Explaining the Cosmos is a major reinterpretation of Greek scientific thought before Socrates. Focusing on the scientific tradition of philosophy, Daniel Graham argues that Presocratic philosophy is not a mere patchwork of different schools and styles of thought. Rather, there is a discernible and unified Ionian tradition that dominates Presocratic debates. Graham rejects the common interpretation of the early Ionians as "material monists" and also the view of the later Ionians as desperately trying to save scientific philosophy (...) from Parmenides' criticisms. In Graham's view, Parmenides plays a constructive role in shaping the scientific debates of the fifth century BC. Accordingly, the history of Presocratic philosophy can be seen not as a series of dialectical failures, but rather as a series of theoretical advances that led to empirical discoveries. Indeed, the Ionian tradition can be seen as the origin of the scientific conception of the world that we still hold today. (shrink)

An intrinsic property is roughly a property something has in virtue of how it is, as opposed to how it is related to other things. More carefully, the property of being F is intrinsic iff, necessarily, for any x that is F , x is F in virtue of how it is, as opposed to how it is related to wholly distinct things, or how wholly distinct things are. An extrinsic property, on the other hand, is any property that is (...) not intrinsic. An example of an extrinsic property is the property of being an uncle. The property of being an uncle is extrinsic since, necessarily, any uncle is an uncle at least partly in virtue of how it is related to people wholly distinct from them. Examples of intrinsic properties are more controversial. It is widely held, however, that both the property of being cubical and the property of being made of tin are examples of intrinsic properties. (shrink)

This two-part volume collects the complete fragments and most important testimonies for the leading presocratic philosophers. The Greek and Latin texts are translated on facing pages and accompanied by a brief commentary for each philosopher.

According to John Mackie, moral talk is representational but its metaphysical presuppositions are wildly implausible. This is the basis of Mackie's now famous error theory: that moral judgments are cognitively meaningful but systematically false. Of course, Mackie went on to recommend various substantive moral judgments, and, in the light of his error theory, that has seemed odd to a lot of folk. Richard Joyce has argued that Mackie's approach can be vindicated by a fictionalist account of moral discourse. And Mark (...) Kalderon has argued that moral fictionalism is attractive quite independently of Mackie's error-theory. Kalderon argues that the Frege-Geach problem shows that we need moral propositions, but that a fictionalist can and should embrace propositional content together with a non-cognitivist account of acceptance of a moral proposition. Indeed, it is clear that any fictionalist is going to have to postulate more than one kind of acceptance attitude. We argue that this doubleapproach to acceptance generates a new problem -a descendent of Frege-Geach -which we call the acceptance-transfer problem. Although we develop the problem in the context of Kalderon's version of non-cognitivist fictionalism, we show that it is not the noncognitivist aspect of Kalderon's account that generates the problem. A closely related problem surfaces for the more typical variants of fictionalism according to which accepting a moral proposition is believing some closely related non-moral proposition. Fictionalists of both stripes thus have an attitude problem. (shrink)

According to the traditional view of Empedocles' cosmic cycle, there are two creations of plants and animals, one under the dominion of increasing Strife and one under the dominion of increasing Love. At the point at which Strife holds complete sway the four elements are completely separated and all life is destroyed; at the point at which Love is completely dominant there is also a destruction of the biological world, this time because the elements are blended into a perfectly homogeneous (...) mixture. This interpretation of the cosmic cycle, which has prevailed almost since it was developed by Friedrich Panzerbieter and seconded by authority of Eduard Zeller was challenged by Paul Tannery and then by H. von Arnim . Long after these essentially programmatic critiques, three independent studies published in 1965 by Jean Bollack, Uvo Hölscher and Friedrich Solmsen mounted a vigorous challenge to the received view. However, in a detailed monograph devoted to Empedocles' cosmic cycle, Denis O'Brien brought to bear an impressive array of scholarly evidence and critical acumen in support of the traditional view . Several challenges to the traditional view have appeared since O'Brien's book, of which the most significant is that of A. A. Long, who, while criticizing attempts of some opponents of the traditional view, produced some novel and interesting arguments against it. Although the traditional view continues to enjoy the support of authorities such as Jonathan Barnes and M. R. Wright, there is a decided shift in favour of revisionary views. Nevertheless recent advocates of a revisionary interpretation do not provide detailed refutations of the traditional view; Long's arguments remain the strongest objections to the traditional view, and they have never been refuted. Will they stand up to scrutiny? (shrink)