At 287c of the Statesman the Eleatic Visitor — or, more deeply, Plato — faces a daunting task. Because statesmanship has been shown to collaborate with “countless” other arts that share with it the work of “caring” for the city, to understand statesmanship requires distinguishing these arts into an intelligible set of kinds and recognizing how these might go together. Accordingly, the Visitor abandons the mode of division he has practiced without exception up until this moment, bifurcation or “halving,” and (...) offers, instead, a sorting of the arts into fifteen kinds of work. How was Plato able to get his bearings towards the heterogeneous multiplicity of the arts in order to do this sorting? In this paper I suggest that he may have found a paradigm in the double octave matrix of notes from which, according to contemporary musical theory, the seven musical “modes” are drawn. To show the plausibility of this suggestion, I first reconstruct the double octave matrix, which was later to be called the Greater Perfect System, and then show a striking series of points of substantive and structural analogy that hold between this matrix and the Visitor’s division of the arts into fifteen kinds. (shrink)

At Sophist 253d-e the Eleatic Visitor offers a notoriously obscure description of the fields of one-and-many that the dialectician “adequately discerns.” Against the readings of Stenzel, Cornford, Sayre, and Gomez-Lobo, I propose an interpretation of that passage that takes into account the trilogy of Theaetetus-Sophist-Statesman as its context. The key steps are to respond to the irony of Socrates’ refutations at the end of the Theaetetus by reinterpreting the last two senses of logos as directed to forms and to recognize (...) their correlation with the two different modes of diairesis practiced by the Eleatic Visitor. These steps position us to recognize in the Visitor’s remarks at Sophist 253d-e a schematic description of the two kinds of eidetic field that the two modes of diairesis trace. (shrink)

This draft Chapter 4 of the book “In the Beginning was Chiasmus: On the Epistemology of Non-quantified Modelling, describes how Plato’s method of divisions and collections (diairesis) accommodates both linear hierarchal classification and combinatoric cross-classification. It presents Plato’s and the early Neoplatonists’ use of cross-classificatory (chiastic) modelling as an ancient prototype of contemporary typological and morphological modelling.

Der Vortrag will die positiven Interpretationsmöglichkeiten untersuchen, die mit der weiteren Verfolgung der am Anfang des Dialogs vorzeitig verlassenen Unterscheidung zwischen der Herdezucht und Gemeinzucht verbunden sein können. Ich werde davon ausgehen, dass diese Unterscheidung nicht nur auf den Mythos und auf die beiden dort entdeckten Diairesis-Fehler hinweist, sondern auch auf mehrere im späteren Verlauf des Dialogs erschienenen Dilemmata und Spannungen, die sie systematisch vorzeichnet, indem sie ins Problemfeld der Nomos-Nous-Beziehung vordringt.

The main aim of my paper is to analyse Aristotle’s theory of language in the context of his Physics I.1 and via an analysis and an interpretation of this part of his Physics I try to show that (i) the study of human language (logos) significantly falls within the competence of Aristotle’s physics (i.e. natural philosophy), (ii) we can find the results of such (physical) inquiry in Aristotle’s zoological writings, stated in the forms of the first principles, causes and elements (...) of the human speech (logos) and (iii) the analogies (Phys. 184b13-14) made by Aristotle at the very end of the first chapter make better sense if we consider them in the broader context in which Aristotle recognizes language as a complex natural phenomenon we are born into and which has to be not only biologically, but also socially developed through our lives. Hence, I aim towards a more naturalistic reading of Aristotle’s views on language. (shrink)