Kitap 11
12
Finite they cannot be, for then those of one kind would be infinitesc. in quantity. If the universe is infinite in quantity, and the elements are limited in kind, some of the elements (or at least one) must be infinite in quantity. But this is impossible, just as it is impossible that all the elements should be infinite in quantity. Cf. sect. 7 above and those of another would not (if the whole is infinite); e.g., fire or water would be infinite. But such a condition would involve the destruction of the contraries. But if the parts are infinitesc. in kind or number. and simple, the regions proper to them are infinite and the elements will be infinite. And since this is impossible,Cf. sect. 6 n. the regions are finiteCf. sect. 14 n. and the whole must be finite.
13
In general, there cannot be an infinite body and a place for bodies if every body which is sensible has either weight or lightness; for it will have to move either towards the center or upwards, and the infinite—either the whole or the half—cannot do either; for how can you divide it? How can the infinite be part up and part down, or part extreme and part center?
14
Further, every sensible body is in some place, and of place there are six kinds,i.e., above and below, before and behind, right and left (Aristot. Phys. 205b 31). but these cannot exist in an infinite body. In general, if an infinite place is impossible, so is an infinite body; because that which is in a place is somewhere, and this means either up or down or one of the other kinds of place, and each of these is a limit.
15
The infinite is not the same in the sense that it is one nature whether it applies to magnitude or to motion or to time; the posterior is derived from the prior sense, e.g. motion is called infinite in virtue of the magnitude involved when a thing is moved or changed or increased, and time is so called on account of motion.Cf. Aristot. Met. 5.13.5.
