The debate over whether we should believe that mathematical objects exist quickly leads to the question of how to determine what we should believe. Indispensabilists claim that we should believe in the existence of mathematical objects because of their ineliminable roles in scientific theory. Eleatics argue that only objects with causal properties exist. Mark Colyvan’s recent defenses of Quine’s indispensability argument against some contemporary eleatics attempt to provide reasons to favor the indispensabilist’s criterion. I show that Colyvan’s argument is not (...) decisive against the eleatic and sketch a way to capture the important intuitions behind both views. (shrink)

The debate over whether we should believe that mathematical objects exist quickly leads to the question of how to determine what we should believe. Indispensabilists claim that we should believe in the existence of mathematical objects because of their ineliminable roles in scientific theory. Eleatics argue that only objects with causal properties exist. Mark Colyvan’s recent defenses of Quine’s indispensability argument against some contemporary eleatics attempt to provide reasons to favor the indispensabilist’s criterion. I show that Colyvan’s argument is not (...) decisive against the eleatic and sketch a way to capture the important intuitions behind both views. (shrink)

Parmenides of Elea was the most important and influential philosopher before Plato. He rejected as impossible the scientific inquiry practiced by the earlier Presocratic philosophers and held that generation, destruction, and change are unreal and that only one thing exists. In this book, Patricia Curd argues that Parmenides sought to reform rather than to reject scientific inquiry, and she offers a more coherent account of his influence on later philosophers._ _The Legacy of Parmenides_ examines Parmenides' arguments, considering his connection to (...) earlier Greek thought and how his account of what-is could have served as a model for later philosophers. Curd also explores the theories of his successors, including the Pluralists, the Atomists, the later Eleatics, and the later Presocratics. She concludes with a discussion of the importance of Parmenides' work to Plato's _Theory of Forms._ _The Legacy of Parmenides_ challenges traditional views of early Greek philosophy and provides new insights into the work of Parmenides. "_The Legacy of Parmenides_ represents a milestone... of Parmenides' interpretation. It is full of ideas and tells a coherent story about Parmenides and early Greek thought." --_ Alexander Nehamas, Princeton University___ "Professor Curd offers a genuinely original and possibly correct interpretation of the core thesis of the poem of Parmenides in a field so well worked over that saying something both new and true is profoundly difficult, this is a notable achievement." --_ Thomas M. Robinson, University of Toronto___ "This will be a substantial book in the story of early Greek philosophy, and future writers on the tradition from Thales through Plato will not be able to ignore it without missing an important interpretive alternative. It will be of value to students of Presocratic philosophy or the Greek tradition, as well as to students of the scientific revolution, cosmology, the origins of logic, or comparative mysticism." --_ Scott W. Austin, Texas A&M University___ PATRICIA CURD_ is professor at Purdue University where she works primarily in Ancient Philosophy. She is a co-editor of _Readings in Ancient Greek Philosophy_, and is the editor of _A Presocratics Reader._. (shrink)

The aim of my paper is to investigate Gorgias’ argument against motion, which is found in his Peri tou mē ontos and preserved only in MXG 980a1˗8. I tried to shed new light both on this specific reflection and on the reliability of Pseudo-Aristotle’s version. By exploring the so called “change argument” and the “argument from divisibility", I focused on the particular strategy used by the Sophist in his synthetikē apodeixis, which should be investigated in relation to the dispute between (...) monistic and pluralistic ontology. In this regard, the puzzle from “divisibility everywhere” and its connection with the void as not-being can provide new elements to grasp the philosophical background in which the Sophist moves. On the one hand, Gorgias’ argument against motion is part of a broader dispute on the divisibility/indivisibility of being; on the other, his original elaboration of this puzzle seems to be perfectly understandable within the controversy between Eleatics and Atomists, and coherent with the argumentative style of the Sophist. (shrink)

In Physics I.8, Aristotle outlines and responds to an Eleatic argument against the reality of change. I defend a new reading according to which the argu- ment assumes Predicational Monism, the claim that each being can possess only one property. In Phys. I.2, Aristotle responds to Predicational Monism, which he attributes to the Eleatics; I argue that he uses this response to distinguish coin- cidental from non-coincidental becoming, a distinction he employs in Phys I.8 to resolve the argument against the (...) reality of change. The Eleatics’ acceptance of Predicational Monism, I argue, explains why this distinction is unavailable to them. (shrink)

The following suggestions for the interpretation of Parmenides and Melissus can be grouped for convenience about one problem. This is the problem whether, as Aristotle thought and as most commentators still assume, Parmenides wrote his poem in the broad tradition of Ionian and Italian cosmology. The details of Aristotle's interpretation have been challenged over and again, but those who agree with his general assumptions take comfort from some or all of the following major arguments. First, the cosmogony which formed the (...) last part of Parmenides' poem is expressly claimed by the goddess who expounds it to have some measure of truth or reliability in its own right, and indeed the very greatest measure possible for such an attempt. Second, the earlier arguments of the goddess prepare the ground for such a cosmogony in two ways. For in the first place these arguments themselves start from assumptions derived from earlier cosmologists, and are concerned merely to work out the implications of this traditional material. And, in the second place, they end by establishing the existence of a spherical universe: the framework of the physical world can be secured by logic even if the subsequent introduction of sensible qualities or ‘powers’ into this world marks some decline in logical rigour. (shrink)

The following suggestions for the interpretation of Parmenides and Melissus can be grouped for convenience about one problem. This is the problem whether, as Aristotle thought and as most commentators still assume, Parmenides wrote his poem in the broad tradition of Ionian and Italian cosmology. The details of Aristotle's interpretation have been challenged over and again, but those who agree with his general assumptions take comfort from some or all of the following major arguments. First, the cosmogony which formed the (...) last part of Parmenides' poem is expressly claimed by the goddess who expounds it to have some measure of truth or reliability in its own right, and indeed the very greatest measure possible for such an attempt. Second, the earlier arguments of the goddess prepare the ground for such a cosmogony in two ways. For in the first place these arguments themselves start from assumptions derived from earlier cosmologists, and are concerned merely to work out the implications of this traditional material. And, in the second place, they end by establishing the existence of a spherical universe: the framework of the physical world can be secured by logic even if the subsequent introduction of sensible qualities or ‘powers’ into this world marks some decline in logical rigour. (shrink)

: Given Descartes's conception of extension, space and body, there are deep problems about how there can be any real motion. The argument here is that in fact Descartes takes motion to be only phenomenal. The paper sets out the problems generated by taking motion to be real, the solution to them found in the Cartesian texts, and an explanation of those texts in which Descartes appears on the contrary to regard motion as real.

In lieu of an abstract, here is a brief excerpt of the content:The Eleatic BergsonDonna Jones (bio)Suzanne Guerlac. THINKING IN TIME: AN INTRODUCTION TO HENRI BERGSON. Ithaca: Cornell UP 2006. [TT]In her Thinking in Time: An Introduction to Henri Bergson Suzanne Guerlac reminds her readers that the metaphysician has indeed been the subject of many hatreds, as the Bergsonist Gilles Deleuze once noted. But from this taut philosophical study one cannot easily make out any possible grounds for enmity; nor were (...) any expressed in the special Bergson issue of Modern Literary Notes edited by Guerlac. In this short review essay I shall voice some of that historic criticism, especially in regard to the social and political implications of his thought. Guerlac’s study may also win its own opponents for its sharp criticisms of Deleuze’s interpretations of Bergson and (in her reading) comically machinic view of life [TT 176–87]. This alone makes the book worth reading; it is also exhaustively researched, and I cannot remember learning as much from the footnotes of any other book.Bergson is presented here as a great metaphysician on the nature of time and space, the philosophical father of nonlinear science, and a theorist of concrete and affective individuality. Rejecting implicitly Leszek Kolakowski’s reading of two Bergsons, Guerlac presents him as neither a cosmologist who opposes life and matter nor an existentialist who retrieves consciousness by opposing time to space. Nor does he emerge as a systematic thinker in this study. In the last chapter Guerlac offers a dizzying defense of Bergson for providing the philosophical basis for cultural studies of the qualitative irreducibility of affectual states, the metaphysics of chaos theory, the critique of artificial intelligence, and the rudiments of an aesthetic theory of digital art and virtual reality.All of this follows from the epochal significance of Bergson’s metaphysical distinction between time and space as carefully grounded in the most advanced physics of his time. Guerlac does not discuss in any detail Bergson’s vitalist critiques of Darwinian biology in Creative Evolution, the work through which the metaphysical arsonist fired the modernist imagination in diverse, contradictory, and at times violent ways.1 Nor does she explore the occult and mystical themes that run throughout Bergson’s work and informed his personal and professional associations.In fact, Guerlac writes: “An explicit appeal to the social values of mystical experience in this study [The Two Sources of Morality and Religion] appeared to vindicate those who had criticized Bergson all along for being simply a mystic. And yet the title of the work, and the basis for the notion of closed and open societies, derive from scientific, not mystical discourse. They refer us to an opposition between closed and open systems in Sadi Carnot’s theories of thermodynamics” [TT 9]. Yet Bergson bases the opposition [End Page 21] between closed and open societies not in thermodynamics but in sociobiology. Having sociobiological reasons to believe in the power of the myths of closed morality on the human mind—groups that had instilled loyalty through myth and ritual had been more successful in the course of evolutionary history; that is, humans susceptible to myth have been successful in a positivist Darwinian sense—he called for the cooptation of such susceptibility by those myths and rituals that instilled loyalty to humanity as such. Humanity could dynamically extend the scope of sociability rather than follow the roles and customs that maintained a closed society in static equilibrium. Though Bergson would later courageously risk pneumonia to stand as an old man in the cold rain to register as a Jew in Vichy France, he claimed in this last book from 1932 that the only complete inspiration for universal openness could be found in Christian mysticism and mythology [Two Sources 227]. He explicitly criticized the insularity of the Judaic religion (and caricatured Eastern forms of mysticism). In other words, Bergson put his faith in Christian mystics alone and thus invited the charge of having laid the foundation for mystical and intolerant leadership.Bergson’s universal humanism also crashed on the limits of colonial racism. In considering closed primitive societies, Bergson called attention to missionary stories full of detailed accounts of childish and monstrous deeds. He implored his... (shrink)

A novel way of making a non-stick frying pan using a topologically open surface is described. While the article has a slight humorous element to it, it is also intended to contain some serious philosophical points concerning the nature of infinitely divisible matter and the kind of contact that must occur between objects in order for them to interact.

In this book Timothy Clarke examines Aristotle's response to Eleatic monism, the theory of Parmenides of Elea and his followers that reality is 'one'. Clarke argues that Aristotle interprets the Eleatics as thoroughgoing monists, for whom the pluralistic, changing world of the senses is a mere illusion. Understood in this way, the Eleatic theory constitutes a radical challenge to the possibility of natural philosophy. Aristotle discusses the Eleatics in several works, including De Caelo, De Generatione et Corruptione, and the Metaphysics. (...) But his most extensive treatment of their monism comes at the beginning of the Physics, where he criticizes them for overlooking the fact that 'being is said in many ways' – in other words, that there are many ways of being. Through a careful analysis of this and other criticisms, Clarke explains how Aristotle's engagement with the Eleatics prepares the ground for his own theory of the principles of nature. Aristotle is commonly thought to be an unreliable interpreter of his Presocratic predecessors; in contrast, this book argues that his critique can shed valuable light on the motivation of the Eleatic theory and its influence on the later philosophical tradition. (shrink)

The introduction summarizes the six new papers collected in Volume 1, Tome 5: Eleatic Ontology and Aristotle. The papers take a fresh look at virtually every aspect of Aristotle’s engagement with Eleaticism. They are particularly concerned with Aristotle’s responses to Parmenidean monism, the Eleatic rejection of change, and Zeno’s paradoxes. The contributions also focus on the ways in which Aristotle developed several of his own theories in metaphysics and natural science partly in reaction to Eleatic puzzles and arguments.

It’s well known that one way to cure a hangover is by a “hair of the dog” — another alcoholic drink. The drawback of this method is that, so it would appear, it cannot be used to completely cure a hangover, since the cure simply induces a further hangover at a later time, which must in turn either be cured or suffered through.

In the fifth century BCE, Melissus of Samos developed wildly counterintuitive claims against plurality, change, and the reliability of the senses. This book provides a reconstruction of the preserved textual evidence for his philosophy, along with an interpretation of the form and content of each of his arguments. A close examination of his thought reveals an extraordinary clarity and unity in his method and gives us a unique perspective on how philosophy developed in the fifth century, and how Melissus came (...) to be the most prominent representative of what we now call Eleaticism, the monistic philosophy inaugurated by Parmenides. The rich intellectual climate of Ionian enquiry in which Melissus worked is explored and brought to bear on central questions of the interpretation of his fragments. This volume will appeal to students and scholars of early Greek philosophy, and also those working on historical and medical texts. (shrink)

The Eleatic Principle or causal criterion is a causal test that entities must pass in order to gain admission to some philosophers’ ontology.1 This principle justifies belief in only those entities to which causal power can be attributed, that is, to those entities which can bring about changes in the world. The idea of such a test is rather important in modern ontology, since it is neither without intuitive appeal nor without influential supporters. Its supporters have included David Armstrong (1978, (...) Vol 2, 5), Brian Ellis (1990, 22) and Hartry Field2 (1989, 68) to name but a few. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Elements of Eleatic Ontology' MONTGOMERY FURTH THE TASKOF AN INTERPRETERof Parmenides is to find the simplest, historically most plausible, and philosophically most comprehensible set of assumptions that imply (in a suitably loose sense) the doctrine of 'being' set out in Parmenides' poem. In what follows I offer an interpretation that certainly is simple and that I think should be found comprehensible. Historically, only more cautious claims are possible, for (...) several portions of the general view from which I 'deduce the poem' are not clearly stated in the poem itself; my explanation of this is that they are operating as tac/t assumptions, and indeed that the poem is best thought of as an attempt to force these very assumptions to the surface for formulation and criticism -that the poem is a challenge. To be sure, there are dangers in pretending, as for dramatic purposes I shall, that ideas are definite and explicit which for Parmenides himself must have been tacit or vague--that Parmenides knew what he was doing as clearly as I represent him; I try to avoid them, but the risk must be taken. I even believe that not to take it, in the name of preserving his thought pure from anachronous contamination, actually prevents us from seeing the extent to which he, pioneer, was ahead of his timc the argument works both ways. So let me hedge my historical claim in this way: the view I shall discuss could have been an active-indeed a controlling---element of Eleaticism; to suppose that Parmenides held it not only explains the poem, but also helps explain the subsequent reactions to Eleaticism of Anaxagoras, Democritus, and Plato (though there is not space to elaborate this here). In addition, it brings his thought astonishingly close to some contemporary philosophical preoccupations. In the first of the following sections, I lay down some sketchy but necessary groundwork concerning the early Greek concept of 'being.' Then in Section 2 an interpretation is given of what I take to be the central Parmenidean doctrine, that 'it cannot be said that anything is not.' This section is the lengthiest and most involved, but it also contains all the moves that appear to be important. Of the remaining sections, Section 3 exp]Mn.qthe principle: 'of what is, all that can be said is: it is,' Section 4 deals briefly with the remaining cosmology of "The Way of Truth," and Section 5 considers the question whether Parmenides himself believed the fantastic conclusions of his argument. There is a short postscript on a point of methodology. 1. A Word on 6v If we are to examine Parmenides' reasoning profitably, an indispensable pre1This paper wasprepared while the author was beneficiary of a Grant-in-Aid of Research from the American Council of Learned Societies, hereby gratefully acknowledged. [111] 112 HISTORY OF PHILOSOPHY liminary is to estabhsh at least a provisional reading for the Greek words translated "is" or "it is" (tar,v), "what is" or "being" (Sv,rb 5v), "to be" (alva0. For while it is evident enough that in his poem Parmenides purports to be delivering an insight of the utmost significance concerning rb tbv (as he calls it), still the construction which he puts upon the term and its cognates, and the understanding which he expects of his listener, are not so clear and have been topics of dispute. Especially notable, and often noted, is the fact that Parmenides' discussion of 'being' shows no sign of the conceptual distinction considered elementary nowadays, between the "is" linking subject and predicate and the "is" of existence; and in fact it needs no documentation here that this distinction was not reflected in either ordinary or philosophical Greek idiom until, at least, a much later date than his, the word tare expressing both concepts. Also highly visible in the poem is the abundance of occurrences of tare used absolutely, unaccompanied by any predicate expression. As a result of this last, the poem can create in the contemporary reader the impression that r5 tSv is being used to mean what is in the existential sense only, to mean what there is; indeed some students of the poem conclude not only that Parmenides... (shrink)

The aim of this paper is to make good philosophical sense of Plato’s portrayal of Zeno in the Phaedrus, both in itself and in the light of the characterization emerging from the Parmenides, where Plato describes Zeno as a faithful defender of the doctrine of the One-All professed by his teacher Parmenides. Therefore, starting from the example of the Parmenides, I will demonstrate that, from Plato’s point of view, the pairs of opposites that characterize Zeno’s arguments in the Phaedrus do (...) not constitute contrasting positions that the Eleatic thinker adopted at different times, but contradictory consequences deriving from the admission of multiplicity. Finally, this will allow us to truly understand both the reason why in the Phaedrus Zeno is counted among those who practice the ἀντιλογικὴ τέχνη and the sarcasm that Plato expresses through the epithet Palamedes. (shrink)

Eleaticism ties ontology to causality by denying the impossibility of causally inert entities. This paper examines some challenges regarding the proper formulation and general plausibility of Eleaticism. After suggesting how Eleatics ought to respond to these challenges, I consider the prospects for extending Eleaticism from ontology to ideology by requiring all primitive ideology to be causal in nature. Surprisingly enough, the resulting view delivers an eternalist and possibilist metaphysical picture in the neighborhood of Lewisian modal realism.

In contemporary metaphysics, the Eleatic Principle (EP) is a causal criterion for reality. Articulating the EP with precision is notoriously difficult. The criterion purportedly originates in Plato’s Sophist, when the Eleatic Visitor articulates the EP at 247d-e in the famous Battle of the Gods and the Giants. There, the Visitor proposes modifying the ontologies of both the Giants (who are materialists) and the Gods (who are friends of the many forms), using a version of the EP according to which only (...) items which have the capacity to affect or to be affected are real. Recently, it has been argued that while there are some genetic connections between the EP and the views of some of the historical Eleatics (Parmenides and Zeno), the views of Melissus are generally incompatible with the EP. This raises the following question: What, exactly, is Eleatic about the Eleatic Principle? In this paper, I look to the dialectical context in which the Visitor’s appeal to the EP appears, and I propose that there are at once three relevant senses of affecting and being affected in the text: (1) tangible contact (as in the interactions between the bodies of the materialists), (2) Cambridge change (as in the form's being affected by a soul via the act of coming to know), and (3) the notion of a cause that does not itself change (as in a form’s affecting another form, a soul, or any sensible item). I argue that these have clear parallels to the metaphysics of all three main Eleatic philosophers, and that the views of Parmenides, Zeno, and Melissus are therefore compatible with the EP. This has interesting consequences for narratives about the reception of the Eleatics in Plato, the inclusion of an Eleatic Visitor as an interlocutor in the Sophist, and for the metaphysics of subsequent schools (such as the Stoics) who are widely thought to have been influenced by the EP. (shrink)

This paper interprets the Parmenides agonistically as a constructive contest between Plato’s Socrates and the Eleatics of Western Greece. Not only is the dialogue set in the agonistic context of the Panathenaic Games, it features agonistic language, employs an agonistic method, and may even present an agonistic model for participation in the forms. The inspiration for this agonistic motif may be that Parmenides and his student Zeno represent Western Greece, which was a key rival for the mainland at the Olympics (...) and other Panhellenic festivals. This athletic rivalry was complemented by a philosophical rivalry, which is dramatized in the dialogue by pitting a very young (flyweight) Socrates against the Eleatic (heavyweight) Parmenides. Through dialectic, an agonistic form of philosophy attributed to the Eleatics, Plato subjects his theory of forms to a variety of conceptual challenges. This process is described as gymnasia (training) at 135d, and the power of dialectic and philosophy itself are said to depend on it. The object of gymnasia (136c) is to achieve a full view (kyriōs diopsethai) of the truth. This philosophical “vision” corresponds to the physical fitness achieved through athletic training, and it distinguishes philosophers (lovers of wisdom) from philtheamones (lovers of images) as explained at Republic 475d-476c. Just as trained athletes are able to participate in the contest while spectators merely watch it, philosophers are able to discern intelligible forms through the particulars that participate in them. In the words of the Seventh Letter 341c, it takes prolonged communion (synousia) with an idea to ignite the philosophical light in one’s soul. The Parmenides’s gymnasia provides an agonistic model for this process, inviting its readers to participate in philosophical training and develop a vison that transcends the material in a way these Eleatic spectators were unable to do. (shrink)

There is a tradition according to which Parmenides of Elea endorsed the following set of counterintuitive doctrines: (a) There exists exactly one material thing. (b) What exists does not change. (g) Nothing is generated or destroyed. (d) What exists is undivided. For convenience, I will use the label ‘Eleatic monism’ to refer to the conjunction of a–d.

I argue that the paradoxes attributed to the Megarians, namely the Liar, the Sorites, presupposition ("Have you stopped beating your father,") and failure of substitution of co-referential terms in psychological verbs ("The Electra") were intended to be reasons to accept Parmenides view that non-being is an incoherent notion and that there is exactly One Being. That is, Eubulides and others were akin to Zeno, in indirectly supporting Parmenidean monism.

Warranting further examination is how the nascent philosophical tradition initially spread to this region from its Ionian provenance. Despite numerous ancient attestations that Parmenides of Elea was influenced, or even directly instructed, by the Ionian-born Xenophanes, many modern scholars remain skeptical of this historical association. The extent of this skepticism ranges from cautious uncertainty to outright denial of any historical plausibility. The skeptical grounds similarly vary, from distrusting the historical veracity of late and/or perhaps biased commentators, to understanding these thinkers (...) as involved in radically different projects. This essay aims to challenge the skeptical position, and establish a direct link disseminating Ionian philosophy to Magna Graecia via Xenophanes and Parmenides. The argument is straightforward. First, the ancient geographical and temporal evidence is noted, establishing that it was possible for Parmenides to have been influenced and/or taught by Xenophanes. Next, the metaphysical and epistemological parallels between these thinkers are considered. Despite notable differences, on balance, these close parallels suggest against the skeptical view, making it quite plausible to impute a direct intellectual link between these thinkers. Third, I consider ancient claims that both thinkers were engaging with religious topics, offering a sort of “rational theology.” This evidence for a close intellectual relationship between these thinkers has been entirely ignored by modern scholars, and orthodox interpretative models cannot readily provide a charitable explanation for them. However, by reconsidering the theistic content in Parmenides’s poem, a new interpretative approach is revealed which can. Once this evidence is considered in its totality, the case for imputing a close and direct intellectual heritage from Xenophanes to Parmenides proves quite substantial. (shrink)

Presocratic atomism was one of the most influential of the early theories: both Plato and Aristotle thought of it as a major competing theory, and it was an important source for post-Aristotelian Hellenistic theories. It has been commonplace that the atomism developed first by Leucippus of Abdera and then by Democritus of Abdera was a reaction to the Eleatic arguments of Zeno and Melissus, but the details of that influence have sometimes seemed rather hazy. This article brings them into sharper (...) focus. This article considers the Eleatic foundations of atomism, especially the question of the importance of Zeno and Melissus for Democritus. By concentrating on some of the less-studied aspects of atomism and especially of the development of the concept of the unlimited into the notion of the infinite, it furthers the understanding of not only the development of early atomism but also the Eleatics Zeno and Melissus. (shrink)

Richard McKirahan untersucht systematisch die aristotelische Diskussion des Denkens von Parmenides, Zeno und Melissus und bringt Licht in die obskureren und komplexeren Passagen. Er ergänzt seine Studie durch eine neuartige "aristotelisierende" Interpretation des Gedichts von Parmenides. Die Texte werden von einem umfassenden Essay der Herausgeber eingeleitet, der die Grundlinien des Bandes definiert und eine Bestandsaufnahme der Studien über die Beziehung zwischen Aristoteles und der Eleaticis vornimmt. Der zweite Teil des Bandes versammelt die Beiträge von neun Wissenschaftlern, die sich an einer (...) lebhaften Debatte über die von McKirahan angesprochenen Themen beteiligen. Mit Beiträgen von Alberto Bernabé | Mathilde Brémond | Bernardo Berruecos Frank | Néstor-Luis Cordero | Patricia Curd | Leonardo Franchi | Refik Güremen | Richard McKirahan | Massimo Pulpito | Barbara Sattler | Enrico Volpe. (shrink)