Plato's lectures: a hypothesis for an enigma.--Speusippus, Xenocrates, and the polemical method of Aristotle.--The Academy: orthodoxy, heresy, or philosophical interpretation?

Mugler maintains that interpreters have been mistaken in drawing from the pedagogical plan of Republic VII any general conclusion concerning the relative position which Plato assigned to philosophical speculation and mathematics, that in Plato's own intellectual experience the relation of the two was the reverse of that assigned to them there, mathematics being more often the end of metaphysical reflection than its point of departure, and that he recommended mathematical study to his pupils not merely as a propaedeutic for dialectic (...) but primarily because from his own experience he believed that subsequent philosophical meditation upon the fund of knowledge thus acquired would often lead to mathematical discoveries. Mugler does not say how this thesis is to be reconciled with the fact that at the end of the Laws dialectic is still declared to be the supreme science and that in such a late passage as Philebus 57 D ff. as well as in an early one like Euthydemus 290 C, neither of which is "pedagogical," the supremacy of dialectic and its priority to mathematics are affirmed as emphatically as in Republic VII; he simply says that a close interpretation of the "metaphysical" dialogues and the Timaeus will substantiate his contention, and it is therefore necessary to examine his interpretation in detail. (shrink)