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
and yet even previous to this awakening, since she contains the
vivid sparks, as it were, of all knowledge, which only require to be
ventilated by the wings of learning, in order to rekindle the light of
ideas, she may be said in this case to know all things as in a dream,
and to be ignorant of them with respect to vigilant perceptions. Hence
too, we may infer that time does not antecede our essential knowledge
of forms, because we possess it from eternity: but it precedes our
knowledge with respect to a production of these reasons into perfect
energy. I only add, that I would recommend the liberal English reader,
to Mr. Sydenham’s excellent translation of Plato’s Meno, where he
will find a familiar and elegant demonstration of the doctrine of
Reminiscence.
[79] Concerning this valuable work, entitled ΙΕΡΟ‘Σ ΛΟΓΟ’Σ, see the
Bibliotheca Græca of Fabricius, vol. i. p. 118 and 462, and in the
commentary of Syrianus on Aristotle’s metaphysics, p. 7, 71, 83, and
108, the reader will find some curious extracts from this celebrated
discourse; particularly in p. 83. Syrianus informs us, “that he who
consults this work will find all the orders both of Monads and Numbers,
without neglecting one, fully celebrated (ὐμνουμένας.)” There is no
doubt, but that Pythagoras and his disciples concealed the sublimest
truths, under the symbols of numbers; of which he who reads and
understands the writings of the Platonists will be fully convinced.
Hence Proclus, in the third book of his excellent commentary on the
Timæus, observes, “that Plato employed mathematical terms for the sake
of mystery and concealment, as certain veils, by which the penetralia
of truth might be secluded from vulgar inspection, just as the
theologists made fables, but the Pythagoreans symbols, subservient to
the same purpose: for in images we may speculate their exemplars, and
the former afford us the means of access to the latter.”
[80] Concerning this Geometric Number, in the 8th book of Plato’s
Republic, than which Cicero affirms there is nothing more obscure, see
the notes of Bullialdus to Theo. p. 292.
[81] I am sorry to say, that this part of the enemies to pure geometry
and arithmetic, are at the present time very numerous; conceptions
of utility in these sciences, extending no farther than the sordid
purposes of a mere animal life. But surely, if intellect is a part of
our composition, and the noblest part too, there must be an object of
its contemplation; and this, which is no other than truth in the most
exalted sense, must be the most noble and useful subject of speculation
to every rational being.
[82] In the 13th book of his Metaphysics, cap. iii.
[83] In. I. De Partib. Animalium, et in primo Ethic. cap. iii.
[84] See more concerning this in the Dissertation.
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