Page:O. F. Owen's Organon of Aristotle Vol. 1 (1853).djvu/153

 for the negative premise signifies the being contingent it is evident therefore that the conclusion will be contingent, for when the premises were thus in the first figure, the conclusion was also contingent. But if the negative premise be necessary, the conclusion will be that it is contingent, not to be with something, and that it is not with it; for let A be supposed necessarily not with C, but contingent to every B, then the affirmative proposition B C being converted, there will be the first figure, and the negative premise will be necessary. But when the premises are thus, it results that A happens not to be with a certain C, and that it is not with it; wherefore it is necessary also that A should not be with a certain B. When however the minor premise is assumed negative there will be a syllogism, if that be contingent by the premise being converted as in the former cases, but if it be necessary there will not be, for it is necessary to be with every, and happens to be with none; let the terms of being with every individual, be "sleep," a "sleeping horse," "man;" of being with none "sleep," a "waking horse," "man."

It will happen in the same way, if one term be joined to the middle universally, but the other partially, for both being affirmative there will be a syllogism of the contingent, and not of the absolute, also when the one is assumed as negative but the other affirmative, and the affirmative is necessary. But when the negative is necessary, the conclusion will also be of the not being present with; for there will be the same mode of demonstration, whether the terms are universal or not universal, since it is necessary that the syllogisms be completed by the first figure, so that it is requisite that the same should result, in these,