In Plato’s Statesman, the Eleatic Stranger leads Socrates the Younger and their audience through an analysis of the statesman in the service of the interlocutors’ becoming “more capable in dialectic regarding all things”. In this way, the dialectical exercise in the text is both intrinsically and instrumentally valuable, as it yields a philosophically rigorous account of statesmanship and exhibits a method of dialectical inquiry. After the series of bifurcatory divisions in the Sophist and early Statesman, the Stranger changes to a (...) non-bifurcatory method of dividing to account for the statesman, but does not explain the reason for this change. I argue that the change is prepared by the elements discussed in the digression from 277a2 to 287b2. Here the Stranger makes use of four concepts that are crucial for understanding this change: the notion of paradigm, the paradigms of care and the weaver, and the notion of due measure. I claim that the notion of paradigm clarifies the nature of dialectical inquiry, care and weaving act as paradigms appropriate to dialectical practice, and an account of due measure offers insight into the constitutive ratios that govern the structuring of kinds pursued through dialectical inquiry. I suggest that the non-bifurcatory method is intended to articulate knowledge in the strictest sense, or knowledge of the forms, presenting a method of inquiry into being and its structure that will foster the turning of the soul from things to forms that Socrates describes in the Republic. (shrink)

I propose taking the beautiful and the sublime in Edmund Burke not just as aesthetic but also as theoretical categories which can help us read his constitutional thought in dialectical terms. I suggest indeed that his usage of these categories in the Reflections on the Revolution in France points to a consistently held argument concerning the aporias of early-modern contractarian theories and their influence on the French Revolution. My hypothesis is that for Burke the Revolution is unable to think of (...) any concrete relation between beauty and sublimity, insofar as they can be associated, respectively, with particularity and universality. Furthermore, I underscore how Burke’s defence of partial representation against contractarian representation aims to overcome this impasse. My goal is to demonstrate that Burke raises decisive questions as to the intrinsically anti-democratic effects of the contractarian concept of democracy and is still useful to confront the contemporary crisis of democratic participation. (shrink)

In Archytas of Tarentum, Carl Huffman reconstructs Archytas’ theory of definition by linking definitions to the mathematical study of ratios and proportions. This paper considers whether and how Archytas used definitions and whether he possessed a theory of definition. Our evidence does not support the claim that Archytas has a theory of definition, and his approach to the science of harmonics suggests that he relied on analogies and proportions in the practice of inquiry. We understand sounds and other entities by (...) placing them in a network of relations governed by mathematical proportions. Although he does not seem to have formulated definitions of sound, Archytas pursued inquiry into motion and rest by formulating definitions in such a way that they fit into a larger network of causal explanations. (shrink)