Page:The World as Will and Idea - Schopenhauer, tr. Haldane and Kemp - Volume 2.djvu/125

Rh of the problem, and so often repeats: "The infinity of the world is only through the regressus, not before it." This his solution of the conflict is thus really only the decision in favour of the antithesis in the assertion of which this truth already lies, while it is altogether inconsistent with the assertions of the thesis. If the antithesis had asserted that the world consisted of infinite series of reasons and consequents, and yet existed independently of the idea and its regressive series, thus in itself, and therefore constituted a given whole, it would have contradicted not only the thesis but also itself. For an infinite can never be given as a whole, nor an endless series exist, except as an endless progress; nor can what is boundless constitute a whole. Thus this assumption, of which Kant asserts that it led both sides into error, belongs only to the thesis.

It is already a doctrine of Aristotle's that an infinity can never be actu, i.e., actual and given, but only potentiâ. (infinitum non potest esse actu: ... sed impossibile, actu esse infinitum), Metaph. K. 10. Further: (nihil enim actu infinitum est, sed potentia tantum, nempe divisione ipsa). De generat, et corrupt., i., 3. He develops this fully in the "Physics," iii. 5 and 6, where to a certain extent he gives the perfectly correct solution of the whole of the antinomies. He expounds the antinomies in his short way, and then says, "A mediator is required;" upon which he gives the solution that the infinite, both of the world in space and in time and in division, is never before the regressus, or progressus, but in it. This truth lies then in the rightly apprehended conception of the infinite. Thus one misunderstands himself if he imagines that he can think the infinite, of whatever kind it may be, as something objectively present and complete, and independent of the regressus.

Indeed if, reversing the procedure, we take as the