the half, for if not the multiple will not be the genus of the double.
Besides, whether it is not referred to the same thing, both according to genus and according to all the genera of the genus, for if the double and the multiple are with reference to the half, to exceed will also be predicated of the half, and in short, according to all the superior genera there will be a reference to the half. It is objected, that a reference to the same thing is not necessary per se, and according to genus, for science is said to be of that which is the object of science, but habit and disposition are not predicated with reference to the object of science, but to the soul.
Again, whether genus and species are predicated in the same manner as to case, as whether pertaining to a certain thing, or predicated of something, or in some other way, for as species, so also is genus (predicated), as in the double, and the superior (genera), for both the double and the multiple are predicated of a certain thing. Likewise in the case of science, for both science itself and its genera, as disposition and habit, are (predicated) of a certain thing. It is objected, that sometimes this is not the case, for "the different," and "the contrary," (are predicated) with reference to a certain thing, but "another" being the genus of these, is not predicated with reference to, but from, something, for (a thing) is so predicated "another," (which is different) from, something else.
Moreover, whether what are similarly called relatives, according to cases, do not similarly reciprocate, as with the double and the multiple, for each of these is said to be of something, both itself, and reciprocally, for both the half and the least part, (are said to be so) of something. Likewise with science and opinion, for these are said to be of a certain thing and similarly reciprocate, and both the object of science and of opinion are predicated with reference to something. If, then, the reciprocation is not similar in the respect of something, one is evidently not the genus of the other.
Again, if genus and species are not predicated with reference to an equal number of things, for
