At Metaphysics A 5 986a22-b2, Aristotle refers to a Pythagorean table, with two columns of paired opposites. I argue that 1) although Burkert and Zhmud have argued otherwise, there is sufficient textual evidence to indicate that the table, or one much like it, is indeed of Pythagorean origin; 2) research in structural anthropology indicates that the tables are a formalization of arrays of “symbolic classification” which express a pre-scientific world view with social and ethical implications, according to which the presence (...) of a principle on one column of the table will carry with it another principle within the same column; 3) a close analysis of Aristotle's arguments shows that he thought that the table expresses real causal relationships; and 4) Aristotle faults the table of opposites with positing its principles as having universal application and with not distinguishing between those principles that are causally prior and those that are posterior. Aristotle's account of scientific explanation and his own explanations that he developed in accordance with this account are in part the result of his critical encounter with this prescientific Pythagorean table. (shrink)

The idea that the household was the fundamental building block of ancient Greek society, explicit in the ancient sources, has now become widely accepted. It is no exaggeration to say that ancient Athenians would have found it almost inconceivable that individuals of any status existed who did not belong to some household; and the few who were in this position were almost certainly regarded as anomalous. In ancient Athens, as elsewhere, households ‘are a primary arena for the expression of age (...) and sex roles, kinship, socialization and economic cooperation’. It has been suggested for modern Greece that our own cultural biases, along with the Greek ideology of male dominance, have led to the assumption that the foundations of power in Greek society lie solely in the public sphere, and that domestic power is ‘less important’. In a less simple reality the preeminent role of the household cannot be underestimated. Here I hope to question similar assumptions about ancient Greece, focusing in particular on the relationships that existed between Athenian households and the property of the individuals, particularly women, within these households. (shrink)

The purpose of this paper is to reassess some mathematical examples in Plato’s dialogues which at a first glance may appear to be nothing more than trivial puzzles. In order to provide the necessary background for this analysis, I shall begin by sketching a brief overview of Plato’s mathematical passages and discuss the criteria for aptly selecting them. Second, I shall explain what I mean by ‘mathematical examples,’ and reflect on their function in light of the discussion on παραδείγματα outlined (...) in the Sophist and the Statesman. Against this framework, I shall move to a close examination of specific examples drawn from the Theaetetus (154c–55d), the Republic (523c–24d), and the Phaedo (96d–97b, 100e–101d). By placing these examples in the broader context of pre-Euclidean mathematics, I shall show that their mathematical content is often less elementary than might appear at first sight. Moreover, by placing emphasis on the specific philosophical concerns that motivated their introduction, I shall argue that the examples are not merely nonsensical jokes. Even if their illustrative purpose is not always immediately clear, and even if they can sound playful and bizarre, they in fact fulfil an important function: by virtue of their power to generate wonder or confusion, they serve as exercises and act as a trigger with respect to the difficult philosophical issues they are intended to clarify. (shrink)

ABSTRACT This essay tells the story of Perelman and Olbrechts-Tyteca's “dissociation of concepts,” which they introduced in 1958 and is in use as a tool of criticism by many rhetorical critics. The story begins in England with John Locke's development of associative reasoning in 1770 and then moves to France, with Remy de Gourmont extending associative reasoning with the concept of dissociation in 1899. Gourmont's dissociation crosses the Atlantic and is then developed by Kenneth Burke in 1931. In turn, Perelman (...) and Olbrechts-Tyteca absorbed and expanded Locke, Gourmont, and Burke's theories of association and dissociation in 1958. They crafted a tool, the dissociation of concepts, that equips rhetorical reasoning with the capacity to navigate between the promise and perils of fission and fusion. Since 1958, many scholars have made productive use of Perelman and Olbrechts-Tyteca's innovation. The essay concludes with some possible futures for their dissociation of concepts. (shrink)

This paper provides a new interpretation of Plato’s account of justice as psychic health in Republic IV. It argues that what has traditionally been considered to be one single analogy is actually a more complex line of reasoning that contains various medical analogies. These medical analogies are not only different in number but also in kind. I discuss each of them separately, while providing a response to various objections.

The Homeric Hymns are commonly taken to be religious poems in some general sense but they are often said to contrast with cult hymns in that the latter have a definite ritual function, whereas "literary" hymns do not. This paper argues that despite the difficulty in establishing a precise occasion of performance for the Homeric Hymns, we are nevertheless in a position to identify their ritual function: by intoning a Hymn of this kind, the singer achieves the presence of a (...) god before participants in a public festival. The key mechanism by which the hymnist does this is the evocation of a god via the elaboration of a typical unit of traditional hymnic discourse, what I call the "theme of recognition ." The pragmatic operation of narrative such as this is similar to the device known in the study of magical texts as the historiola, or short narrative that serves as a verbal model for a desired outcome in the patient's world. This kind of operation is called, in this paper, "symbolic action," a term borrowed from the rhetorician Kenneth Burke. The theme of recognition is traced in the fabric of the expansive Hymns , and the paper further argues that an important generic marker in the Hymns, the greeting of the god , discloses their pragmatic function, the hymnist's skillful deliverance of the god before his hearers. (shrink)

The ArgumentNaturalization confers authority on beliefs, conventions, and claims, but what kind of authority? Because the meaning of nature has a history, so does that of naturalization:naturalization is not the same tactic when marshaled in, say, eighteenth-century France and in late nineteenth-century Britain. Although the authority of nature may be invoked in both cases, the import of that authority depends crucially on whether nature is understood normatively or descriptively, within the framework of the natural laws of jurisprudence or within that (...) of the natural laws of mechanics. During the early modern period, the denotative center of gravity of the word “nature” shifted dramatically. Writings about the female intellect are particularly well suited to reflect and focus these changes for three reasons: first, as with so many aspects of gender identity, what was distinctively female about women's way of thinking was usually alleged to be part and parcel of their “nature”; second, thepolitical and social implications of the female intellect were debated heatedly and in unprecedented detail, particularly in France; and third, the actual content of beliefs about what traits sex the intellect as female remained relatively constant during this period, despite sharp differences of opinion over their putative “natural” causes. The female intellect was naturalized not once but repeatedly, and therein lies its value for a history of naturalization. (shrink)