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
prefixed to this work, and the following fifth chapter.
[72] These two principles, _bound_ and _infinite_, will
doubtless be considered by the unthinking part of mankind, as
nothing more than general terms, and not as the most real of beings.
However, an accurate contemplation of the universe, will convince
every _truly_ philosophic mind of their reality. For the heavens
themselves, by the coherence and order of their parts, evince their
participation of bound. But by their prolific powers, and the
unceasing revolutions of the orbs they contain, they demonstrate their
participation of _infinity_. And the finite and perpetually
abiding forms with which the world is replete, bear a similitude _to
bound_: while, on the contrary, the variety of particulars, their
never-ceasing mutation, and the connection of more and less in the
communion of forms, represents an image of _infinity_. Add too,
that every natural species, by its form is similar to _bound_;
but by its matter, to _infinity_. For these two, form and matter,
depend on _bound_ and _infinity_, and are their ultimate
progressions. And each of these, indeed, participates of unity; but
form is the measure and bound of matter, and is more _one_. But
matter is in capacity all things, because it subsists by an emanation
from the first capacity, or the _infinite itself_.
[73] Of human disciplines, those alone deserve to be called sciences
which use no hypotheses, which resolve things into their principles,
which are conversant with true being, and elevate us to ideas
themselves. Dialectic is wholly of this kind (I mean the dialectic of
Plato); for this alone uses no suppositions, but, neglecting shadows
and images, raises us, by a sublime investigation, to the principle
of the universe; and on this account, deserves to be called the
very apex of disciplines. But we must not imagine, that by the word
dialectic here, is meant logic, or any part of logic, or that method
of disputation, by which we fabricate probable reasons; but we must
conceive it as signifying a discipline, endued with the greatest
acuteness; neglecting all hypotheses, truly soaring to primary causes,
and ultimately reposing in their contemplation. Plotinus has given us
most happy specimens of this method, in his books _on the genera of
being_.
[74] See note to the first chapter.
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