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 — Plato — John Shaqi
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
Plato · en
Again, science is not the business of sense, since that which is
universal is the object of perception in particulars themselves. For
the object of sight is colour in general, and not this particular
colour: the object of hearing is sound in general, and not any
particular sound; and, on this account we see or hear not only this
or that colour or sound, but likewise every other which falls under
the cognizance of these senses. Hence, if it were possible for any
one to discern by his sight, the equality of the three angles of some
particular triangle to two right, he would not by this means possess a
demonstration of the conclusion which affirms this to be the property
of every triangle; but his knowledge would extend no farther than the
triangle he inspects. Thus too, if we could perceive an eclipse of
the moon to arise from the interposition of the earth, we could not
universally conclude that this is the cause of every eclipse, but
only of the particular one we behold. For the explication of causes
extends to universals; and comprehends not only the knowledge of one
particular defect of the moon, but simply of every eclipse; since the
interposition of the earth is not so much the cause of any present
eclipse, as of all which can possibly exist in every age. Whenever,
then, the cause is universal, the knowledge of any effect deduced from
such a cause is, in every respect, superior to the evidence arising
from the perceptions of sense. It is likewise more excellent than
the apprehension which subsists independent of the proper cause; as
if any one should give absolute credit to the proposition, that the
three angles of a triangle are equal to two right, without a previous
conviction that the external angle of a triangle, is equal to the two
interior opposite ones; and without applying this last proposition as
the cause of the first. The comprehension, then, which is conjoined
with the proper cause, far exceeds the strongest evidence of sense.
But perhaps it may be said that science consists in sense, because the
science of any particular, fails from a defect of the sense by which
it is apprehended. To this we reply, that science, indeed, is not
acquired without the assistance of sense, but it does not follow from
hence, that _to perceive_ is _to know_; because the object
of science is that which is universal; but of sense, that which is
particular. Thus, if we could see light penetrating the pores of glass
(on the atomical hypothesis) the cause why it illuminates would be
manifest from sensible inspection as the means, and from the universal
apprehension of science, by which we should understand this to be
universally true.