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Category:
The Enneads - MacKenna
geometry
Definition:
But in fact everything follows its own Kind; the birth is a horse because it comes from the Horse Kind, a man by springing from the Human Kind; offspring answers to species. Allow the kosmic circuit its part, a very powerful influence upon the thing brought into being: allow the stars a wide material action upon the bodily part of the man, producing heat and cold and their natural resultants in the physical constitution; still does such action explain character, vocation and especially all that seems quite independent of material elements, a man taking to letters, to geometry, to gambling, and becoming an originator in any of these pursuits? And can we imagine the stars, divine beings, bestowing wickedness? And what of a doctrine that makes them wreak vengeance, as for a wrong, because they are in their decline or are being carried to a position beneath the earth - as if a decline from our point of view brought any change to themselves, as if they ever ceased to traverse the heavenly spheres and to make the same figure around the earth. Enneads: III I. 6
Again: if the Soul is a body, how can we account for its virtues - moral excellence [Sophrosyne], justice, courage and so forth? All these could be only some kind of rarefied body [pneuma], or blood in some form; or we might see courage as a certain resisting power in that pneuma; moral quality would be its happy blending; beauty would lie wholly in the agreeable form of impressions received, such comeliness as leads us to describe people as attractive and beautiful from their bodily appearance. No doubt strength and grace of form go well enough with the idea of rarefied body; but what can this rarefied body want with moral excellence? On the contrary its interest would lie in being comfortable in its environments and contacts, in being warmed or pleasantly cool, in bringing everything smooth and caressing and soft around it: what could it care about a just distribution? Then consider the objects of the soul's contemplation, virtue and the other Intellectual forms with which it is occupied; are these eternal or are we to think that virtue rises here or there, helps, then perishes? These things must have an author and a source and there, again, we are confronted by something perdurable: the soul's contemplation, then, must be of the eternal and unchanging, like the concepts of geometry: if eternal and unchanging, these objects are not bodies: and that which is to receive them must be of equivalent nature: it cannot therefore be body, since all body-nature lacks permanence, is a thing of flux. Enneads: IV VII. 8
It may be urged that the triangle is essentially a particular shape. Then what prevents our ranking the sphere also as a quality? To proceed on these lines would lead us to the conclusion that geometry is concerned not with magnitudes but with Quality. But this conclusion is untenable; geometry is the study of magnitudes. The differences of magnitudes do not eliminate the existence of magnitudes as such, any more than the differences of substances annihilate the substances themselves. Enneads: VI III. 14
Again: if the Soul is a body, how can we account for its virtues - moral excellence [Sophrosyne], justice, courage and so forth? All these could be only some kind of rarefied body [pneuma], or blood in some form; or we might see courage as a certain resisting power in that pneuma; moral quality would be its happy blending; beauty would lie wholly in the agreeable form of impressions received, such comeliness as leads us to describe people as attractive and beautiful from their bodily appearance. No doubt strength and grace of form go well enough with the idea of rarefied body; but what can this rarefied body want with moral excellence? On the contrary its interest would lie in being comfortable in its environments and contacts, in being warmed or pleasantly cool, in bringing everything smooth and caressing and soft around it: what could it care about a just distribution? Then consider the objects of the soul's contemplation, virtue and the other Intellectual forms with which it is occupied; are these eternal or are we to think that virtue rises here or there, helps, then perishes? These things must have an author and a source and there, again, we are confronted by something perdurable: the soul's contemplation, then, must be of the eternal and unchanging, like the concepts of geometry: if eternal and unchanging, these objects are not bodies: and that which is to receive them must be of equivalent nature: it cannot therefore be body, since all body-nature lacks permanence, is a thing of flux. Enneads: IV VII. 8
It may be urged that the triangle is essentially a particular shape. Then what prevents our ranking the sphere also as a quality? To proceed on these lines would lead us to the conclusion that geometry is concerned not with magnitudes but with Quality. But this conclusion is untenable; geometry is the study of magnitudes. The differences of magnitudes do not eliminate the existence of magnitudes as such, any more than the differences of substances annihilate the substances themselves. Enneads: VI III. 14
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Submitted by mccastro, on 23-Mar-2008. | This entry has been seen individually 77 times.
