In his commentary on Euclid, Proclus says both that the first principle of geometry are self-evident and that they are hypotheses received from the single, highest, unhypothetical science, which is probably dialectic. The implication of this seems to be that a geometer both does and does not know geometrical truths. This dilemma only exists if we assume that Proclus follows Aristotle in his understanding of these terms. This paper shows that this is not the case, and explains what Proclus himself (...) means by definition, hypothesis, axiom, postulate, and the self-evident, and how geometry is a science that receives its principles from dialectic. (shrink)

I examine the relation between sensation and discursive thought in Plato, Plotinus, and Proclus. In Theaetetus, a soul whose highest faculty was sensation would have no unified experience of the sensible world, lacking universal ideas to give order to the sensible flux. It is implied that such universals are grasped by the soul’s thinking. In Plotinus the soul is not passive when it senses the world, but as the logos of all things it thinks the world through its own forms.Proclus (...) argues against the derivation of universal logoi from the senses, which alone can’t make the sensible world comprehensible. At most they give a record of the original sense-impression in its particularity. The soul’s own projected logoi give the sensible world stability. For Proclus, bare sensation does not depend on thought, but a unified experience of the sense-world depends on its paradigmatic logoi in our souls. (shrink)

Dans la septième dissertation de son Commentaire sur la République de Platon, Proclus fournit les éléments d’une philosophie politique néoplatonicienne très structurée. Fidèle, de façon générale, à la description platonicienne de l’âme tripartite et des quatre vertus cardinales, il introduit cependant d’importantes nuances dans cette théorie. L’idée de la prédominance d’une partie de l’âme sur une autre et l’idée de « vies mixtes » où deux parties de l’âme prédominent en même temps élargissent la description platonicienne des différents types poli­tiques. (...) En outre, en s’efforçant de donner diverses explications métaphysiques de la nature et du nombre des parties de l’âme et des vertus, Proclus inscrit la philosophie politique platonicienne plus ou moins tout d’une pièce dans une hiérarchie cosmique néoplatonicienne. (shrink)

In Proclus dianoia is the Soul's thinking activity, through which it makes itself into a divided image of Nous. This dissertation examines various aspects of Procline dianoia. Dianoia's thoughts are logoi, because in the Greek philosophical tradition, logos came to mean a division of a prior unity . Proclus' theory of dianoia rejects induction, and is a conscious development of Plato's theory of anamnesis , because induction is unable to yield a true universal . The source of Soul's logoi is (...) not a pre-natal vision of reality, but rather its ontological dependence on Nous. The Soul's ousia is a fullness of logoi which are images of the eide in Nous. The Soul projects these multiple oudiodeis logoi into even greater multiplicity. In so doing, Soul makes itself into the image of Nous, and the paradigm of Body. For this reason all dianoia is metaphorical, because it either understands Nous through the image which itself is, or understands Body through itself as paradigm . Dianoia, therefore, has two parts. Dialectic is the Soul's grasp of Nous through itself as image, and mathematics is the Soul's grasp of Body through itself as paradigm . The Soul's attention to Body may cause it to cease its dianoetic activity, because it takes on Body's passivity. Philosophical discussion may rescue such a fallen soul, turning it back towards itself, away from the body. In Procline terms, philosophy restores the Soul's autokinesis, or self-motion . The particular Nous of which Soul is an image, and which dianoia divides, is the Nous which serves as a measure for Soul's dividing activity. And because Time is the measure of the Soul's motion, this particular Nous is the monad of Time . Dianoia has as its aim to leave behind all divided thinking, and to be content with the unity of Nous, and the simplicity of the One. This is accomplished through that in the Soul which is higher than dianoia, the nous of the Soul, and its own one. (shrink)