The gods that guard the poles have been assigned the function of assembling the separate and unifying the manifold members of the whole, while those appointed to the axes keep the circuits in everlasting revolution around and around. And if I may add my own conceit, the centers and poles of all the spheres symbolize the wry-necked gods by imitating the mysterious union and synthesis which they effect; the axes represent the connectors of all the cosmic orders … and the (...) very spheres are likenesses of the perfecting divinities … 1 Proclus’s Commentary on the First Book of Euclid’s Elements contains one of the most important discussions of the nature of mathematical objects and preserves a wealth of historical information about mathematics from antiquity. However, large sections of the text have been neglected by scholars since the text’s first publication in the sixteenth century. Proclus expounds at length on correspondences between mathematical objects and the gods. At times he uses the language of “theurgy,” the ritual practices that later Neoplatonists insisted were necessary for the human soul to ascend to the intelligibles. The contention of this article is that the Commentary, taken as a whole, concerns the practice of “inner theurgy,” mental rituals used by advanced students to raise the soul beyond its assigned bounds. This practice can be traced back to Plotinus and the very beginnings of Neoplatonism; however, the particular methods presented by Proclus are his own development. This interpretation of the Commentary is supported by Proclus’s works Commentary on the Parmenides and Platonic Theology. Parts of the Commentary that have been studied carefully by modern scholars, especially the theory of the mathematical phantasia or imagination, will be shown to be crucial elements in Proclus’s theory and practice of inner theurgy. (shrink)

For the last few years, thanks to the Leverhulme Trust, I've been largely absent from my department, working on the late antique philosopher Plotinus. To speak personally – it's been a difficult few years, since my youngest daughter has been afflicted with anorexia during this period, and my own bowel cancer was discovered, serendipitously, and removed, at the end of 2005. Since then I've had ample occasion to consider the importance – and the difficulty – of the practice of detachment, (...) and also to worry about the moral some have drawn from Plotinian and similar philosophies, namely that the things of this world really do not matter much, and that we should withdraw ourselves from them. Maybe it is true, as Plotinus says, that ‘some troubles are profitable to the sufferers themselves, poverty and sickness for example’. But this is not an altogether helpful message for those afflicted by the bundle of disorders that lead to anorexia. It's difficult not to suspect, for example, that Simone Weil would have lived longer but for her Neo-Platonism. It has also been made obvious to me that we are much less in control of our own mental and emotional states even than I had thought before. None of this, of course, should have been any surprise: I have frequently pointed out – to myself and others – the importance of distinguishing between one's self and the states one finds oneself in, and the extreme difficulty of controlling the thoughts we say are ours. Any delusion that my knowledge of these facts is of itself enough to render me immune to them has been – at least for the moment – thoroughly debunked – though the facts themselves are such that this disillusionment, so to call it, is probably both temporary and almost entirely insincere! (shrink)

Contemporary scholarship accents incipient theurgical practice for Plotinus; this lends a certain urgency to the question of his acceptance of magic. While use of magic recorded in Porphyry's Vita Plotini has received considerable attention, far less has been done to analyze actual discussion in the Enneads. Examination of key passages brings to light the context for discussion of magic, particularly issues of sympathy, prayer, astrology and divination. Equally important is Plotinus' understanding of the cosmos and role of the heavenly bodies. (...) Plotinus' affirmation of the highest part of the soul as undescended, together with the claim that our soul has a common origin with the World Soul in Soul-Hypostasis, is significant for the relative unimportance he attributes to the role and effect of magic. (shrink)

_ Source: _Volume 9, Issue 2, pp 159 - 176 The purpose of this paper is the analysis of the Plotinian and Iamblichean reading of the Aristotelian theory of abstraction, and its relationship with the status of mathematical entities, as they were conceived within a Platonic model, according to which mathematical objects are ontological autonomous and separate.