Plutarch on the childhood of Alcibiades

Almost four decades ago, Donald Russell published in this journal an analysis of the first sixteen chapters of theLife of Alkibiades, which consist largely of short self-contained anecdotes about Alkibiades' childhood, youth and early career (Russell 1966b). As Russell demonstrated, most of these anecdotes are juxtaposed without any causal link. Although there are the occasional chronological markers – indications, for example, that Alkibiades is getting older and passing from childhood to early manhood – some are plainly out of chronological order and it is impossible to extract a clear chronology from them. Russell argued, however, that to try to extract such a chronological narrative would be to misunderstand the function of this material, which is not to provide a narrative of Alkibiades' early years but rather to illuminate and illustrate his character.Russell's argument, in particular the stress on Plutarch's interest in character, was seminal; together with two other papers published at roughly the same time, it marked the beginning of a new appreciation of Plutarch as an author of literary merit. But Russell was rather less convinced of the logic of selection of the first five anecdotes, which relate to Alkibiades' youth and comprise some one-and-a-half pages of Teubner text (Alk.2–3).</jats:p

The opening of Plutarch's Life of Themistokles

Plutarch begins the biography by selecting incidents and an epigram that anticipate the basic themes of Themistocles' life--his greatness, sometimes ambiguous, and his benefactions to all of Greece

The structure of the Plutarchan book

This study focuses not on individual Lives or pairs of Lives, but on the book as a whole and its articulation across the full corpus. It argues that the Plutarchan book consists of up to four distinct sections: prologue, first Life, second Life, synkrisis. Each of these sections has a fairly consistent internal structure, and each has a distinct set of strategies for opening, for closure, and for managing the transition from one section to the next. Prologues provide an introduction to both Lives, and are clearly delineated from them, even though in our manuscripts they appear as part of the first Life; in fact, there is often a stronger break between prologue and first Life than there is between the two Lives themselves. Prologues usually begin with generalized reflections, to be followed only later by the naming of the subjects and a statement of their similarities. Most Lives begin with a thematically organized section (the ‘proemial opening’), which surveys the subject's life as a whole, not just their youth, and which is marked off with varying degrees of distinctness from the narrative that follows. Crucially, proemial openings do not narrate and the logic of their structure is not chronological. Closure in many Lives is signalled by ‘circularity’ and sometimes by a closural or transitional phrase, though first Lives are different here from second Lives. Synkriseis are structured both by a series of themes on which the two subjects are compared, and by a two-part, agonistic structure in which first one of the subjects is preferred, then the other. Synkriseis may also recall the prologue; both prologue and synkrisis operate at the level of the book, and between them frame and weld together the two Lives.</jats:p

Applications of monodromy in solving polynomial systems

Polynomial systems of equations that occur in applications frequently have a special structure. Part of that structure can be captured by an associated Galois/monodromy group. This makes numerical homotopy continuation methods that exploit this monodromy action an attractive choice for solving these systems; by contrast, other symbolic-numeric techniques do not generally see this structure. Naturally, there are trade-offs when monodromy is chosen over other methods. Nevertheless, there is a growing literature demonstrating that the trade can be worthwhile in practice. In this thesis, we consider a framework for efficient monodromy computation which rivals the state-of-the-art in homotopy continuation methods. We show how its implementation in the package MonodromySolver can be used to efficiently solve challenging systems of polynomial equations. Among many applications, we apply monodromy to computer vision---specifically, the study and classification of minimal problems used in RANSAC-based 3D reconstruction pipelines. As a byproduct of numerically computing their Galois/monodromy groups, we observe that several of these problems have a decomposition into algebraic subproblems. Although precise knowledge of such a decomposition is hard to obtain in general, we determine it in some novel cases.Ph.D

'Our mind went to the Platonic Charmides': the reception of Plato’s Charmides in Wilde, Cavafy and Plutarch

Plato’s Charmides is notable as being the only Platonic text in which Socrates admits to feeling sexual desire for a young man. This paper examines three different receptions of this text: Oscar Wilde’s 666-line poem Charmides, C. P. Cavafy’s 8-line poem In a town of Osroene (Ἐν πόλει τῆς Ὀσροηνῆς), and Plutarch’s much earlier Life of Alcibiades. It focus on how the three authors respond to the erotic and philosophical element in the Charmides. Wilde’s 1881 Charmides provides an example of minimal textual engagement: the name Charmides is invoked solely for its connotations of young, male beauty; the tone is erotically charged but the homoerotic content is muted, and the philosophical element entirely absent. In Cavafy’s In a town of Osroene, first printed in 1917, explicit allusion to ‘the Platonic Charmides’ in the last line recasts the poem an expression of homoerotic desire, and endows its group of young men with the prestige of a Platonic gathering and Platonic love. In contrast, Plutarch’s engagement with the Charmides in his Life of Alcibiades is implicit, and depends entirely on the reader’s ability to recognise a series of detailed verbal echoes. Furthermore, while calling to mind the educational conversation with which Socrates engaged Charmides, Plutarch denies that Socrates’ motivation was sexual, and integrates allusion to the Charmides into a broader network of allusions to other passages in which Plato describes Socrates’ encounters with beautiful young men, or the ideal relationship of a mature man with a younger beloved, in which the sexual element is entirely absent. In so doing, Plutarch “corrects” Plato with Plato, and removes what had become an embarrassment in his period