subsist, both those which are of the same figure, with reference to themselves, and those which are of different figures, also with reference to each other.
Chapter 8
Since however to exist, to exist necessarily, and to exist contingently are different, (for many things exist, but not from necessity, and others neither necessarily, nor in short exist, yet may happen to exist,) it is evident that there will be a different syllogism from each of these, and from the terms not being alike; but one syllogism will consist of those which are necessary, another of absolute, and a third of contingent. In necessary syllogisms it will almost always be the same, as in the case of absolute subsistences, for the terms being similarly placed in both absolute existence, and in existing, or not of necessity, there will and there will not be a syllogism, except that there will be a difference in necessary or non-necessary subsistence being added to the terms. For a negative is in like manner convertible, and we assign similarly to be in the whole of a thing, and to be (predicated) of every. In the rest then it will be shown by the same manner, through conversion, that the conclusion is necessary, as in the case of being present; but in the middle figure, when the universal is affirmative, and the particular negative, and again, in the third figure, when the universal is affirmative, but the particular negative, the demonstration will not be in the like manner; but it is necessary that proposing something with which either extreme is not present, we make a syllogism of this, for in respect of these there will be a necessary (conclusion). If, on the other hand, in respect to the proposed term, there is a necessary conclusion, there will be also one (a necessary conclusion) of some individual of that term, for what is proposed is part of it, and each syllogism is formed under its own appropriate figure.