Page:O. F. Owen's Organon of Aristotle Vol. 1 (1853).djvu/201

 Likewise if the proposition A B be taken as negative, for A may be with no B, and may not be with a certain C, yet B may be with no C. Thus genus may be present with species, which belongs to another genus, and with an accident, to its own species, for animal indeed concurs with no number, and is with something white, but number is with nothing white. If then number be placed as the middle, and A is assumed present with no B, but B with a certain C, A will not be with a certain C, which would be true, and the proposition A B is true, but B C false.

Also if A B is partly false, and the proposition B C is also false, the conclusion will be true, for nothing prevents A from being present with a certain B, and also a certain C, but B with no C, as if B should be contrary to C, and both accidents of the same genus, for animal is with a certain white thing, and with a certain black thing, but white is with nothing black. If then A is assumed present with every B, and B with a certain C, the conclusion will be true.

Likewise if the proposition A B is taken negatively, for there are the same terms, and they will be similarly placed for demonstration.

If also both are false, the conclusion will be true, since A may be with no B, but yet with a