Plato: Metaphysics, Misc

Since Stalbaum’s 1838 translation revived interest in Plato’s Timaeus, commentators have tended to bracket the discourse on Necessity, reading it as either mythical or mystical. This essay offers an interpretation of Necessity that is also an assertion of its importance for understanding the philosophically important conception of chora-space found therein. Beginning with throwing ourselves back into the Presocratic milieu, I examine what remains of Presocratic notions of kreon and ananke (necessity) in order to move forward a more robust interpretation of (...) the discourse on Necessity and chora-space. (shrink)

The Theaetetus is subtitled peri epistemes, on knowledge, and peirastikos, tentative. Theaetetus' three attempted definitions of knowledge, each ventured only to fail, are structured in a cascading reduction. This regress functions both negatively, as an indirect demonstration that knowledge is not definable in term of opinion or judgment, that is, knowledge is not "opinion plus," but also positively, as the ill-fated definitions build upon one another to delineate the elements necessary for a possible theory of judgment. The themes of knowledge (...) and judgment never resolve, yet, through the multiple peirastic beginnings that perish struggling to say something lasting about knowledge, this main theme ties together the dialogue's many subthemes-wisdom and character; sophistry and its relation to philosophy; Socrates' trial; intellectual midwifery, or Socratic dialectic; appearance and reality; Heracliteanism; Eleaticism; forms and participation; unity and plurality; particularity and universality; identity and difference; memory and time; relations; the relation of resemblance. One could go on. The guiding question, how to define knowledge, is a theoretical one, and the reasoning becomes progressively more abstract as the dialogue proceeds, while at the same time never straying far from practical implications: the theoretical conception of knowledge holds consequences made manifest in human action and deliberation. The dialogue about knowledge is also a dialogue about wisdom. (shrink)

It is argued that the analysis by which the gene are differentiated in the dialogue is an exercise in studied ambiguities informed by an Eleatic logic of strict dichotomy that was the underpinning of the Sophist's method of division. By this dialectical drill, Plato shows that the metaphysics underlying the Visitor's method fails to adequately distinguish what it means to have a character from what it means to be a character, and therefore remains inadequate to track down the sophist or (...) to distinguish him from the philosopher: Eleaticism, as critically examined by Plato, proves to be means to disguise, not to discover the sophist. (shrink)

The eponymous dialogue presents the sophist as a figure who defies definition, and those difficulties are attributed to the conception of the image. Ultimately, the sophist is defined as a species of image maker. The image, however, which is important throughout the Platonic corpus as a metaphor, an analogy, and a metaphysical concept as well, receives in the Sophist little clarification or definition apart from whatever may be inferred from the division of image making arts. In the Sophist, the sophist (...) escapes definition as in no other dialogue, rendering even the concluding division one that makes the distinction of the sophist from the philosopher problematic, if not impossible. The paper explores how the dialogue problematizes and rethinks the metaphysics of the image, as compared to its use in dialogues such as the Phaedo and the Republic, pointing to a refinement in understanding the relation of judgment to knowledge and appearance to reality. (shrink)

The dissertation is a translation of the Sophist with a running commentary. Three main points are argued: the dialogue does not present positive doctrine but has the structure of a reductio ad absurdum, Plato's point is to criticize the metaphysics of Parmenides. By failing to account for resemblance, Eleaticism implies an inadequate theory of relations, which makes impossible any understanding of "essence." Consequently, Eleaticism can be taken as the philosophical underpinning for the antithesis of philosophy, lending legitimacy to sophistry, the (...) criticism constitutes an indirect argument for the theory of forms. ;The method of division employed in the Sophist does not proceed "along natural joints" as called for in the Phaedrus, nor can it, since the Eleatic logic that underlies the method used in the Sophist allows for no intermediate in the strict opposition of 'being' and 'not-being.' The only definitions that can be made on this basis are negative definitions. This leads to an inability to account for images on Eleatic terms, providing a refuge for the sophist--he cannot be a maker of deceptive images if there are no images and no falsity. However, the modification of the Eleatic rejection of not-being is incomplete and insufficient. ;The arguments allow only for relations of identity and difference or whole and part, excluding any account of resemblance, the basis for any theory of participation. On these grounds, not-being is defined in terms of difference, affording an incomplete explanation of false statement, while abandoning the initial problem of images. Moreover, the concluding argument directly implies the reduction of 'being' to the newly introduced definition of 'not-being.' The ending turns back to the beginning: the sophist has an art that is no art, and definitions can only be definitions in terms of difference, negative definitions allowing no adequate account of images and no essences. The dialogue ends in a subtle aporia pointing to the failure to acknowledge that to say images both are and are not indicates an order of ontological dependence. (shrink)

Plato is associated with the idea that the body holds us back from knowing ultimate reality and so we should try to distance ourselves from its influence. This sentiment appears is several of his dialogues including Theaetetus where the flight from the physical world is compared to becoming like God. In some major dialogues of Plato's later career such as Philebus and Laws, however, the idea of becoming like God takes a different turn. God is an intelligent force that tries (...) to create order in the physical world. I argue that likeness to God in these dialogues involves imitating God's effort by trying to order our bodies, souls, and societies as intelligence directs. Becoming like Plato's God is not to abandon the world. It is to improve it. (shrink)

Des Jardins (1976) and Dreher (1990) have suggested that Plato's Line should be thought of as divided in the mean and extreme ('golden') ratio. I examine their arguments, as well as other reasons that could be brought up in support of the 'golden division' of the Line, and show that all of them are wanting.

This paper deals with the ontological genesis of the series point-line-plane-solid in Plato’s philosophy. The texts of the Dialogues concerning this subject are presented, and passages of the Unwritten Doctrines that we know from Aristotle and other sources are specially considered. Certain problems within this context, such as the postulation of indivisible Iines, or the relation between each of the dimensions and the figures that can be placed in them, are considered in detail.

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)

In Deceit, Desire, and the Novel, René Girard interprets a phenomenon he dubs “metaphysical desire” in which “metaphysical” signifies objects of attraction that are not physical things but rather intangible bi-products of mimetic entanglement—such as prestige or fame or social status. These “metaphysical objects” fuel the sometimes frenzied rivalry between the actors in their grip. Desire in the mimetic theory is always subject to mediation, and Girard distinguishes two modes of mediation: external and internal. In external mediation, the model stands (...) outside the field of play of the imitator; in such cases there can be imitation but not the mutually amplified rivalry that leads to violence and scapegoating. In internal mediation, however, the model/imitators become antagonists. In Girard’s exposition, this difference between mediators provides a first litmus test of violent potential. But Girard’s dichotomy is limited to types of mediation, and another dichotomy is possible, one that distinguishes between types of metaphysical objects: those that are essentially sharable and those inherently not so. This extension of Girard’s mimetic theory can potentially cast great light on Plato’s dialogues. My essay will argue both that Plato understood the double-bind of mimetic entanglement and that his “forms” (at least in the ethical/political realm) can best be understood as metaphysical objects of the sharable kind. My points of reference will be primarily Plato’s Phaedrus and Book IX of the Republic (with pointers to Aristotle’s analysis of philia in Book VIII of the Nicomachean Ethics). (shrink)

This volume deals with the appropriations, criticism and transformation of Plato’s and Aristotle’s positions about theory, practice and the contemplative life, including their epistemological and metaphysical foundations, from ...

In this paper I hope to show that Geach misunderstands the nature of Plato's argument in the Euthyphro and more importantly the reasoning behind the dialectical strategy adopted by Socrates. Furthermore I shall argue that Geach's reading of the Euthyphro engenders serious difficulties, that stand in the way of understanding the manner in which Plato construes the problem of determining the nature of, and relationship between universal and particulars, which is of great significance because it is precisely this problem, in (...) relation to piety, that is central to the Euthyphro. In the appendix I shall sketch the outline of an argument in order to justify the assumption that the theory of Forms is present in the Euthyphro. (shrink)

I argue against a formidable interpretation of Plato’s Divided Line image according to which dianoetic correctly applies the same method as dialectic. The difference between the dianoetic and dialectic sections of the Line is not methodological, but ontological. I maintain that while this interpretation correctly identifies the mathematical method with dialectic, ( i.e. , the method of philosophy), it incorrectly identifies the mathematical method with dianoetic. Rather, Plato takes dianoetic to be a misapplication of the mathematical method by a subset (...) of practicing mathematicians. Thus, Plato’s critique of dianoetic is a not a critique of mathematics, as such, but of mathematicians. (shrink)

A new story is abroad that plato possessed two redundant devices in the "phaedo" to explain why some sensible "f" (a drift of snow, say) is "g" but never not-"g" (cold, say): (i) "f" participates in a special way in the (upper world) forms "f" and "g"; (ii) "f" is essentially "g" in its own (lower world) right. Were there such genuinely redundant devices, this would tidily explain both plato's coming to reject essential properties for sensibles in the "republic" and (...) aristotle's coming to reject forms for sensibles in the "categories". Now it is true in the "phaedo" that sensible "f" particulars can indeed by "g" and never not-"g", yet no redundant "essentialist" doctrine occurs there. Plato's reasoning is through and through form-ist: an "f" particular has a "participation" relation to the form "f", which form "f" has an "invariable accompaniment" relation to the form "g", which form "g" can never itself be not-"g"; the form "g"'s own never-not-"g" constraints thence get percolated back down the line of these canonical two worlds relations, by a still little-noticed "back-passing principle.". (shrink)

This essay undertakes a reexamination of the notion of the receptacle/chōra in Plato's Timaeus, asking what its value may be to feminists seeking to understand the topology of the feminine in Western philosophy. As the source of cosmic motion as well as a restless figurality, labile and polyvocal, the receptacle/chōra offers a fecund zone of destabilization that allows for an immanent critique of ancient metaphysics. Engaging with Derridean, Irigarayan, and Kristevan analyses, Bianchi explores whether receptacle/chōra can exceed its reduction to (...) the maternal-feminine, and remain answerable to contemporary theoretical concerns. (shrink)

I present two of Jacob Klein’s chief discoveries from a perspective of peculiar fascination to me: the enchanting (to me) contemporaneous significance, the astounding prescience, and hence longevity, of his insights. The first insight takes off from an understanding of the lowest segment of the so-called DividedLine in Plato’s Republic. In this lowest segment are located the deficient beings called reflections, shadows, and images, and a type of apprehension associatedwith them called by Klein “image-recognition” (εἰκασία). The second discovery involves a (...) great complex of notions from which I will extract one main element:the analysis of what it means to be a number and what makes possible this kind of being, and, it turns out, all Being. (shrink)