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)

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)

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.

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)

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)

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.

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)

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'.

In Philolaus’ cosmology, the earth revolves around a central fire along with the other heavenly bodies, including a planet called the counter-earth which orbits below the earth. His theory can account for most astronomical phenomena. A common criticism of his theory since ancient times is that his counter-earth does no work in the system. Yet ancient sources say the planet was supposed to account for some lunar eclipses. A reconstruction of Philolaus’ cosmology shows how lunar eclipses occurring at certain times (...) of day cannot be explained by earth blocking the sun’s light. The counter-earth could explain these eclipses. (shrink)

Renewed interest in the Presocratics of the last few decades has not ignored Heraclitus, and some new and fruitful lines of inquiry are now being pursued. This article on Heraclitus presents a unified Heraclitus who is a thoughtful critic of his predecessors, and keenly interested in the possibility of human understanding. This Heraclitus rejects the Milesian account of a single substance with systematic changes and transformations that guarantee the stability of the whole. He recognizes that his new views will be (...) difficult to understand, but provides hints and lessons to allow his hearer or reader to grasp his philosophical account. Parmenides of Elea, too, has not been ignored by the scholarly community—a number of new interpretations of Parmenides have appeared in the last decade. (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 founder of atomic theory, according to Aristotle and Theophrastus, is Leucippus. His very existence has been called into question. Three of the best minds of nineteenth-century scholarship were embroiled in a vehement debate on this question, which thereupon became a cause célèbre, with scholars weighing in on both sides for the next half century. Ultimately this debate seems to have ended in stalemate and exhaustion rather than in any clear-cut decision. After briefly reviewing the debate, this article argues that (...) there are indications of an atomic theory different from Democritus's that can plausibly be attributed to Leucippus. It considers indications that the atomic theory was known in the mid-fifth century, and then tentatively explores Leucippus's contributions to atomism in a way that will illuminate Democritus's contributions. (shrink)

Each of the two major approaches to Aristotle--the unitarian, which understands his work as forming a single, unified system, and the developmentalist, which seeks a sequence of developing ideas--has inherent limitations. This book proposes a synthetic view of Aristotle that sees development as a change between systematic theories. Setting theories of the so-called logical works beside theories of the physical and metaphysical treatises, Graham shows that Aristotle's doctrines fall into two distinct systems of philosophies that are genetically related. This (...) study--the first major alternative to the unitarian approach since Jaeger pioneered the developmentalist method in 1923--provides a sweeping reappraisal of Aristotle's science and metaphysics and a new approach to the problem of substance presented in the Metaphysics. (shrink)

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)

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)

The eighth book of Aristotle's Physics is the culmination of his theory of nature. He discusses not just physics, but the origins of the universe and the metaphysical foundations of cosmology and physical science. He moves from the discussion of motion in the cosmos to the identification of a single source and regulating principle of all motion, and so argues for the existence of a first `unmoved mover'. Daniel Graham offers a clear, accurate new translation of this key (...) text in the history of Western thought, and accompanies the translation with a careful philosophical commentary to guide the reader towards an understanding of the wealth of important and influential arguments and ideas that Aristotle puts forward. (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.

This handbook brings together leading international scholars to study the diverse figures, movements, and approaches that constitute Presocratic philosophy. More than a survey of scholarship, this study presents new interpretations and evaluations of the Presocratics' accomplishments, from Thales to the sophists and from theology to science.

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)

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)