The mathematician speculates the causes of a certain sensible effect, without considering its actual existence; for the contemplation of universals e… - Proclus

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The mathematician speculates the causes of a certain sensible effect, without considering its actual existence; for the contemplation of universals excludes the knowledge of particulars; and he whose intellectual eye is fixed on that which is general and comprehensive, will think but little of that which is sensible and singular.

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About Proclus

Lycaeus (8 February 412 – 17 April 485 AD), called the Successor, was a Greek Neoplatonist philosopher. As one of the last major classical philosophers, he set forth an elaborate and fully developed system of Neoplatonism, which had a profound influence upon Western medieval philosophy. His commentary on the first book of Euclid's Elements is one of the most valuable sources we have for the history of ancient mathematics, and its Platonic account of the status of mathematical objects was also influential.

Also Known As

Native Name: Πρόκλος ὁ Διάδοχος
Alternative Names: Proclus Lycaeus
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This, therefore, is mathematics: she reminds you of the invisible form of the soul; she gives life to her own discoveries; she awakens the mind and purifies the intellect; she brings light to our intrinsic ideas; she abolishes oblivion and ignorance which are ours by birth.

The person who has found him is unable to tell this to others as he has seen it, for the discovery is not made by the soul who makes a statement, but by the soul who is initiated in and lies outstretched towards the divine light, not moving with its own movement, but keeping its own silence as it were. For if it is by nature not able to grasp the essential nature of other realities either by name or by a defining proposition or by scientific knowledge, but by intuitive thought (noêsis) alone, as he himself says in the Letters, how could it discover the essential nature of the Demiurge in any other way than intuitively (noerôs)? How could the soul, having found him in this way, be able to report what it had seen by means of nouns and verbs and convey this to others? After all, because discursive thought proceeds through combination, it is unable to express the nature that is unified and simple. ... If discovery takes place by the soul who keeps silent, how could the flow of language through the mouth be sufficient to bring to light the essential nature of what has been discovered?

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A transition, therefore, is not undeservedly made from sense to consideration, and from this to the nobler energies of intellect. Hence, as the certain knowledge of numbers received its origin among the Phœnicians, on account of merchandise and commerce, so geometry was found out among the Egyptians from the distribution of land. When Thales, therefore, first went into Egypt, he transferred this knowledge from thence into Greece: and he invented many things himself, and communicated to his successors the principles of many. Some of which were, indeed, more universal, but others extended to sensibles.

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