Books M and N of Aristotle's Metaphysics receive relatively little careful attention. Even scholars who give detailed analyses of the arguments in M-N dismiss many of them as hopelessly flawed and biased, and find Aristotle's critique to be riddled with mistakes and question-begging. This assessment of the quality of Aristotle's critique of his predecessors (and of the Platonists in particular), is widespread. The series of arguments in M 2 (1077a14-b11) that targets separate mathematical objects is the subject of particularly strong (...) criticism by Annas and Ross. Two related arguments in this series (1077a14-20 and 1077a24-31) will serve as cases in point. The principal charges made against these arguments (that Aristotle misunderstands or misrepresents his opponents' views, and that he engages in question-begging because he presupposes his own metaphysical views) are frequently made against Aristotle's critique of Platonist positions more generally. If, as I argue, these charges are false for our two test case arguments, then there is good reason to think that they might also be false when they are leveled against the other arguments in this M 2 series. And, although presenting an argument for this is beyond the scope of this paper, this suggests that these two charges are more often than not false when applied to Aristotle's critique of Platonist mathematical views in M-N and beyond. (shrink)

Resumen En el presente artículo se explora la pertenencia de los libros M y N al programa general de la Metafísica de Aristóteles. Los libros XIII y XIV han quedado en el trasfondo de la Metafísica, como una suerte de agregado editorial, del cual se puede prescindir para la comprensión de la propuesta aristotélica. En el presente artículo, sin embargo, se asume un punto de partida diferente, que consiste en integrar estos libros al núcleo de la propuesta de la Metafísica, (...) enten diendo que ellos son claves para completar el panorama de la teoría general de la sustancia, o ousiología, que guía todos los libros metafísicos. De este modo, la discusión de M y N sobre números y principios viene a concluir la cuestión de la sustancia como causa y principio, anunciada desde el inicio de la Metafísica y desarrollada en sus libros centrales.This article explores the belonging of books M and N to the generalprogram of Aristotle's Metaphysics. Books XIII and XIV have remained in the background of Metaphysics, as a kind of editorial aggregate, which can be dispensed with for the understanding of the Aristotelian proposal. In this article, however, a different startingpoint is assumed, which consists in integrating these books into the core of the proposal of Metaphysics, understanding that they are key to completing the panorama of the general theory of substance, or ousiology, which guides all metaphysical books. Thus, the discussion of numbers and principles within M and N concludes the question of substance as cause and principle, announced from the beginning of Metaphysics and developed in its central books. (shrink)