those which have an intermediate, eg unjust and just; in all such cases one must maintain that the privation is not of the whole formula, but of its extreme form; eg if a man is just who is by virtue of some permanent disposition obedient to the laws, the unjust man need not have the whole formula denied of him, but will be in some respect deficient in obedience to the laws, and in this respect the privation will attach to him; and similarly in all other cases); and since, as the mathematician investigates abstractions (for in his investigation he eliminates all the sensible qualities, eg weight and lightness, hardness and its contrary, and also heat and cold and the other sensible contrarieties, and leaves only the quantitative and continuous, sometimes in one, sometimes in two, sometimes in three dimensions, and the attributes of things qua quantitative and continuous, and does not consider them in any other respect, and examines the relative positions of some and the consequences of these, and the commensurability and incommensurability of others, and the ratios of others; but yet we say there is one and the same science of all these things geometry), the same is true with regard to being (for the attributes of this in so far as it is being, and the contrarieties in it qua being, it is the business of no other science than philosophy to investigate; for to natural science one would assign the study of things not qua being, but rather