The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 1 of 2) : $b To which are added, A history of the restoration of Platonic theology, by the latter Platonists: And a translation from the Greek of Proclus's Theological elementsProclus
Philosophy
The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 1 of 2) : $b To which are added, A history of the restoration of Platonic theology, by the latter Platonists: And a translation from the Greek of Proclus's Theological elements
Proclus
Euclid. Elements; Platonists
6. Let us now pass from contemplating the nature of the soul, to
a survey of its various gradations of knowledge, and the means
by which it acquires the illuminations of science; as this is a
speculation perfectly essential to a full comprehension of the ensuing
Commentaries. According to Plato, then, in the sixth and seventh
books of his Republic[28], there are four degrees of the internal
cognitions of our soul; imagination, or assimilation; faith, cogitation
(διάνοια); and lastly, science or wisdom. The two first degrees
conjoined constitute opinion; but the two last equally joined produce
intelligence in its large acceptation. I say in its large acceptation,
because the word intelligence is considered by the Platonists in a
triple respect. First, as it rises from opinion and science; as Plato
asserts, in the seventh book of his Republic. Secondly, as it passes
into the same with science; for thus, in the end of the sixth book,
he considers intelligence and science as the same. Lastly, as it is
distinguished from science, and intelligible from that which is the
object of cognition: thus, science regards the essential reasons
of the soul; but intelligence elevates us to ideas, and this is
intelligence in its proper acceptation. The distinction of these four
degrees, especially depends on the distinction of things with which
the soul is conversant. For these four degrees of things are, the
image of a sensible object, the sensible object itself, the image of
an intelligible object, and the intelligible itself. Imagination or
assimilation regards the image of the sensible object; which image is
nothing more than the shadow or resemblance appearing in water, or
other lucid and polished bodies. Faith is conversant with sensible
objects; and these are animals, plants, and every thing subject to
the energies of sense. From the junction of imagination and faith,
opinion is produced. Cogitation is conversant with the image of an
intelligible object; which is nothing more than a certain universal,
collected from sensibles, related to the reasons of things existing
in the soul, and constituted by their assistance; but not elevated to
ideas, and resolved into their lucid nature. Those who are conversant
with this image of an intelligible object, use hypotheses; which do
not elevate us to principles, which are reasons and ideas, but bring
us down to subordinate objects. Lastly, science, considered as the
same with intelligence, is conversant with that which is intelligible,
or the essence of things; and of this kind are reasons pertaining to
the soul, and ideas to intellect. Hence, as _intelligible_ is to
_sensible_ in splendor and truth, and form to its image; such is
the relation of the superior to the inferior degrees of cognition.
And as these four degrees may be resolved into five, by separating
intelligence from science; so they are reduced by Plato into two
principal degrees; so far as the two first are conversant about
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