Page:The World as Will and Idea - Schopenhauer, tr. Haldane and Kemp - Volume 2.djvu/120

110 antithesis, only he has disfigured it by a scholastic and ambiguous expression. The same argument might be used against the limitation of the world in time, only we have a far better one under the guidance of causality. In the case of the assumption of a world limited in space, there arises further the unanswerable question, What advantage has the filled part of space enjoyed over the infinite space that has remained empty? In the fifth dialogue of his book, "Del Infinito, Universo e Mondi," Giordano Bruno gives a full account of the arguments for and against the finiteness of the world, which is very well worth reading. For the rest, Kant himself asserts seriously, and upon objective grounds, the infinity of the world in space in his "Natural History of the Theory of the Heavens," part ii. ch. 7. Aristotle also acknowledges the same, "Phys.," iii. ch. 4, a chapter which, together with the following one, is very well worth reading with reference to this antinomy.

In the second conflict the thesis is at once guilty of a very palpable petitio principii, for it commences, "Every compound substance consists of simple parts." From the compoundness here arbitrarily assumed, no doubt it afterwards very easily proves the simple parts. But the proposition, "All matter is compound," which is just the point, remains unproved, because it is simply a groundless assumption. The opposite of simple is not compound, but extended, that which has parts and is divisible. Here, however, it is really tacitly assumed that the parts existed before the whole, and were brought together, whence the whole has arisen: for this is the meaning of the word "compound." Yet this can just as little be asserted as the opposite. Divisibility means merely the possibility of separating the whole into parts, and not that the whole is compounded out of parts and thus came into being. Divisibility merely asserts the parts a parte post; compoundness asserts them a parte ante. For there is essentially no temporal relation between the parts and the