A Metaphysics of Three Infinities: Proclus' Revision of the Ancient Platonist Tradition

Dissertation, New School for Social Research (1997)
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Abstract

This dissertation shows that Proclus provides a consistent reading of Plato's late dialogues, and develops a three level ontology which stands on its own. By augmenting the reserve of Platonist philosophy with Post Platonic developments of Greek mathematics and astronomy and physics, at points where Platonism ceased to provide operating principles, Proclus, reached for formulations which went beyond Plato. His own metaphysics, though sometimes obscured by theurgic allusions, grounds Being in an infinite One. ;One of the problems that Proclus attempts to solve through the posit of three infinities, is that an iterative potential infinity, seen in the interval structure of the physical world, could divide to oblivion if uncolonized by Principle. The 'One Being', which brings Limit and noetic sameness, is itself entrapped in Self Reflexivity. An infinity of a third kind, one beyond all Limit and Unlimit is posed to solve this problem. This is Proclus' NeoPlatonic solution to the fact that Being alone, albeit under the rule of intellect, cannot guarantee itself. ;Platonism assumes a "universe" i.e. One grounding Many, which predetermines the place of all structure. $\rm A\nu\lambda o\gamma\iota\alpha$ is a principle of substitution which governs the visible cosmos and makes it comprehensible by mathematical formulations. Plato's emphasis on the self same as the epitome of Being, with circularity as the highest form for thought, helps Proclus provide a consistent account of: Creation ; Infinity as a Simultaneous Whole ; Soul and Nous, Dialectic is valorized over other forms of thought as most like $$ the eternal truth and a means to assimilation. Procession and reversion forms a circle which demonstrates a metaphysical successor of cosmic revolutions found to exist as the heavenly bodies carry out their noetic patterns. ;Finally Eternity encapsulates Time; but again its infinite circularity is only recouped by a One beyond all Limit which can carry out the Providence of a final cause

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Emilie Kutash
The New School (PhD)

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