Xenocrates on the Number of Syllables

Abstract

Ancient critics reproached Xenocrates for beginning his work on the dialectic with a discussion of voice, and until now the question why he did so has never been systematically explored. Neither do we know why Xenocrates counted syllables, as Plutarch reports, and how he arrived at such an implausibly high number. In the first part of this paper, I show that Xenocrates’ interest in voice was suggested by Plato’s discussion of letters in his later dialogues, such as the Theatetus, the Sophist, the Statesman, and the Philebus. Second, a fragment from Sextus attributed to Xenocrates confirms that Xenocrates allowed for various ‘levels’ of elements, and that explains why Theuth’s method, recommended in the Philebus, is applied to syllables. Finally, I address the very possibility of knowing the actual number of syllables and words, and address some of the problems connected to the reconstruction of the mathematical argument.