Page:O. F. Owen's Organon of Aristotle Vol. 1 (1853).djvu/200

 the conclusion will be true. For nothing hinders A from concurring with B, and with a certain C, and B from being with a certain C; thus animal may be with something beautiful, and with something great, and beauty also may be with something great. If then A is taken as present with every B, and B with a certain C, the proposition A B will be partly false; but B C will be true, and the conclusion will be true.

Likewise if the proposition A B is negative, for there will be the same terms, and placed in the same manner for demonstration.

Again, if A B be true, but B C false, the conclusion will be true, since nothing prevents A from being with the whole of B, and with a certain C, and B from being with no C. Thus animal is with every swan, and with something black, but a swan with nothing black; hence, if A is assumed present with every B, and B with a certain C, the conclusion will be true, though B C is false.