Parmenides, mystery and contradiction -- The early theory of forms -- The new theory of forms -- Understanding proofs : Meno, 85d₉-86c₂, continued -- Aristotle and the sea battle -- The principle of individuation -- Thought and action in Aristotle -- Necessity and truth -- Hume and Julius Caesar -- "Whatever has a beginning of existence must have a cause" : Hume's argument exposed -- Will and emotion -- Retraction -- The question of linguistic idealism.

Governments and other groups interested in the views of citizens require the means to present justifications of proposed actions, and the means to solicit public opinion concerning these justifications. Although Internet technologies provide the means for such dialogues, system designers usually face a choice between allowing unstructured dialogues, through, for example, bulletin boards, or requiring citizens to acquire a knowledge of some argumentation schema or theory, as in, for example, ZENO. Both of these options present usability problems. In this paper, (...) we describe an implemented system called PARMENIDES which allows structured argument over a proposed course of action, without requiring knowledge of the underlying argumentation theory. (shrink)

The paper will study an unpublished 1930–31 seminar where Heidegger reads Plato’s Parmenides, showing that in spite of his much-criticized habit of dismissing Plato as the progenitor of “idealist” metaphysics, Heidegger was quite aware of the radical potential of his later dialogues. Through a temporal account of the notion of oneness (to hen), the Parmenides attempts to reconcile the plurality of beings with the unity of Being. In Heidegger’s reading, the dialogue culminates in the notion of the “instant” (to exaiphnēs, (...) Augenblick)—a high point in the entire metaphysical tradition—where the temporal plurality of presence and un-presence converges into a unified disclosure. (shrink)

In Plato's Parmenides , Socrates proposes a 'Day' analogy to express one possible model of part/whole relations. His analogy is swiftly rejected and replaced with another analogy, that of the 'Sail'. In this paper, it is argued that there is a profound difference between these two analogies and that the 'Day' represents a distinct way to think about part/whole relations. This way of thinking, I argue, is the standard way of thinking in East Asian Buddhism. Plato's 'Day' analogy can then (...) be used to illuminate the meaning of an opaque but very important concept in East Asian Buddhism: li , which in this paper is developed as a modal concept of 'Wholeness'. (shrink)

I argue here that a properly Platonic theory of the nature of number is still viable today. By properly Platonic, I mean one consistent with Plato's own theory, with appropriate extensions to take into account subsequent developments in mathematics. At Parmenides 143a-4a the existence of numbers is proven from our capacity to count, whereby I establish as Plato's the theory that numbers are originally ordinal, a sequence of forms differentiated by position. I defend and interpret Aristotle's report of a Platonic (...) distinction between form and mathematical numbers, arguing that mathematical numbers alone are cardinals, by reference to certain non-technical features of a set-theoretical approach and other considerations in philosophy of mathematics. Finally I respond to the objections that such a conception of number was unavailable in antiquity and that this theory is contradicted by Aristotle's report in Metaph . XIII that Platonic numbers are collections of units. I argue that Aristotle reveals his own misinterpretation of the terms in which Plato's theory was expressed. (shrink)

While Melissus argues for a numerical monism, Parmenides and Zeno undermine claims to unconditional or transcendental knowledge. Yet the work of Parmenides and Zeno is not merely critical or eristic, and does not imply that philosophical inquiry is futile. Instead it shows the importance of reflection on the way the requisites of inquiry are represented in its results, and entrains an axiological investigation to every ontological one.

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)

This page is dedicated to an analysis of the first section of Parmenides' Poem, the Way of Truth, with a selection of critical judgments by the most important commentators and critics. In the Annotated Bibliography I list the main critical editions (from the first printed edition of 1573 to present days) and the translations in English, French, German, Italian and Spanish, with a selection of studies on Parmenides; in future, a section will be dedicated to an examination of some critical (...) variants of the Greek text, with particular attention to corrections to the Diels-Kranz (abbreviated DK) edition of the Fragmente der Vorsokratiker. The fragments of Parmenides' Poem are cited according to Diels-Kranz numbering system as adopted in the 6th edition, Berlin 1952; the Poem is divided into three parts: the Proem fr. I, 1-32; the Way of Truth (Alethéia) from fr. II to VIII, 49, and the Way of Mortal Opinion (Doxa) fr. VIII, 50 to XIX, 3. (shrink)

The adventure of philosophy began in Greece, where it was gradually developed by the ancient thinkers as a special kind of knowledge by which to explain the totality of things. In fact, the Greek language has always used the word onta , "beings," to refer to things. At the end of the sixth century BCE, Parmenides wrote a poem to affirm his fundamental thesis upon which all philosophical systems should be based: that there are beings. In By Being, It Is (...) , Nestor-Luis Cordero explores the richness of this Parmenidean thesis, which became the cornerstone of philosophy. Cordero's textual analysis of the poem's fragments reveals that Parmenides' intention was highly didactic. His poem applied, for the first time, an explicative method that deduced consequences from a true axiom: by being, it is . To ignore this reality meant to be a victim of opinions. This volume explains how without this conceptual base, all later ontology would have been impossible. This book offers a clear and concise introduction to the Parmenidean doctrine and helps the reader appreciate the imperative value of Parmenides's claim that "by being, it is." "This thorough and controversial book will certainly be valued highly by the international community of scholars devoted to the study of ancient philosophy as well as by educated readers worldwide." --Alfonso Gomez-Lobo, Georgetown University " By Being, It Is offers a meticulous discussion of one of the most puzzling theses in the history of philosophy. It is a highly challenging piece of work from a philosophical viewpoint, an outstanding model of philological work, and a contribution that causes anyone interested in philosophical matters to reflect." --Marcelo D. Boeri, National Council for Scientific and Technological Research, Argentina "Parmenides' importance consists in the fact that he represents an absolute beginning in history, and particularly in the history of thought. We can understand why, for more than twenty years now, N.L. Cordero has devoted tremendous efforts to understanding the few verses that remain to us of this Poem. The result is the present book, characterized by its completeness and its rigor. It is an essential work on a seminal author." --Luc Brisson, National Council for Scientific Research, France. (shrink)

I FORMS IN THE PRE-SOCRATIC PHYSICISTS Plato's dialogue Parmenides carried in the classification of Thrasyllus the editorial subtitle nepi i6«ov, ...