Discusses the importance of the early history of Greek mathematics to education and civic life through a study of the Parthenon and dialogues of Plato.

The conviction that Plato manipulated Thrasymachus’ views is today accepted by the scholarly opinion. Given the absence of testimonies regarding the political and moral views held by the historical Thrasymachus, the degree of this manipulation can be gauged only by assessing the degree of incoherence and ambiguity in the views of the Platonic Thrasymachus. This perspective, of necessity a self-referential one, is overcome by the hypothesis presented in the following article, namely, that Plato manipulates not as much the views of (...) the historical Thrasymachus as the extremely concise and ambiguous thesis which he has ascribed to him; and that the goal of this manipulation is to mock Thrasymachus’ style and rhetorical posture – both confirmed by testimonies outside the Platonic text – as ill suited to the philosophical reflection on the content of this thesis. (shrink)

At the end of the fifth century B.C.E., the character of Odysseus was scorned by most of the Athenians: he illustrated the archetype of the demagogic, unscrupulous and ambitious politicians that had led Athens to its doom. Against this common doxa, the most important disciples of Socrates (Antisthenes, Plato, Xenophon) rehabilitate the hero and admire his temperance and his courage. But it is most surprising to see that, in spite of Odysseus' lies and deceit, these philosophers, who condemn steadfastly the (...) sophists' deceptions, praise his rhetorical ability, his polutropia. The word polutropia is ambiguous: for Antisthenes, it means either "diversity of styles and discourses" or "diversity of dispositions, characters, or souls". It is argued that the same distinction is implicitly at work in Plato's Hippias Minor, where Socrates defends Odysseus' polutropia against the pseudo "simplicity" of Hippias' favourite hero, Achilles. However, whereas Antisthenes tries to clarify these different meanings, Plato's Socrates exploits the ambiguity to confuse his interlocutor. Such a distinction sheds a new light on the Hippias Minor: Odysseus is polutropos in the first (positive) sense, while the simplicity of Achilles should be understood as a bad kind of polutropia. It provides an explanation for the first paradoxical thesis of the dialogue which many commentators do not admit as an expression of the true Socratic view, on the ground of its supposed immorality: that he who voluntary deceives is better than he who errs, for falsehood is, in one case, only in words, while in the other, it is falsehood in the soul itself. It is thus proposed that Odysseus' skill in adapting his logos to his hearers was probably a model for Socrates himself. The analogy between the hero and Socrates is especially clear in Plato's dialogues, which show the philosopher in an Odyssey for knowledge. (shrink)

Early in Plato’s Republic, two cities are depicted, one healthy and one with “a fever”—the so- called luxurious city. The operative difference between these two cities is that the citizens of the latter “have surrendered themselves to the endless acquisition of money and have overstepped the limit of their necessities” (373d).i The luxury of this latter city requires the seizure of neighboring lands and consequently a standing army to defend those lands and the city’s wealth. According to the main character, (...) Socrates, war thus finds its origin in communities living beyond the natural limits of necessity. In short, the healthy or true city is sustainable, limiting its consumption to actual needs, while the luxurious city seems not to be sustainable, living beyond its needs in a perpetual quest for more. Plato spends the rest of the Republic in the attempt to reveal the political organization and virtues—in particular, the virtue of moderation—necessary for the luxurious city to be just, healthy and thereby sustainable. The contrasting images of the two cities and Plato’s subsequent discussion raise important questions about the interrelations between justice, consumption and sustainability. In this paper we appropriate Plato’s images of these metaphorical cities to discuss over-consumption and unsustainable practices by the nations of the contemporary “first world”, which in turn perpetuate poverty and environmental degradation in the nations of the “two-thirds world”. Matters of equity and justice are preeminent in our discussion. (shrink)