If the two contradictory extremes are equally incogitable, yet include a cogitable mean, why insist upon the necessity of accepting either extreme?
Hence the Quantitative Infinites must be also Units, and the division of space and time, implying absolute contradiction, is not even cogitable as an hypothesis.
The perceivable or cogitable has no meaning except in relation to some Capax Percipiendi or Capax Cogitandi.
For the world is a sum of phenomena; there must, therefore, be some transcendental basis of these phenomena, that is, a basis cogitable by the pure understanding alone.
But he confesses himself unable to show what Knowledge or Cognition is, though he continues to announce it as correlating with Realities Cogitable and Universal only.
The Nous thus cogitates itself through participation of the Cogitabile: for it becomes itself cogitableby touching the Cogitabile and cogitating: so that Cogitans and Cogitabile become identical.
He rejected altogether the separate and exclusive reality which Plato had claimed for his Absolutes of the cogitable world, as well as the derivative and unreal semblance that alone Plato accorded to the sensible world.
It is this Cogitable Universal that is alone real; Sensible Particulars are not real, nor lasting, nor trustworthy.
At the same time, Plato again presents to us the Cogitable Universals as the only objects of true cognition, the Sensible Particulars being objects merely of opinion.
Now, the world of Forms (the Cogitable or Ideal world as opposed to the Sensible) is not here conceived by Plato as peopled in the first instance by Genera and Species.
Thus, if the thesis be that the Platonic Ideas exist in us, it follows necessarily that they are both in motion and at rest; both perceivable by sense, and cogitable by intellect.
The relative is not cognizable norcogitable in and by itself, because it in and by itself, or prescinded from that to which it is relative, does not exist, and is simply nothing.
Relation is cogitable only in correlation, and the relation between correlatives is reciprocal, each is relative to the other.