The same will occur if the proposition A B be negative. For A may happen to be neither with any B, nor with any C, yet B with a certain C, as genus with the species and difference which are from another genus. Thus animal is neither present with any prudence nor with any thing contemplative, but prudence is with something contemplative; if then A is assumed present with no B, but B with every C, A will be with no C, which will be true.
In particular syllogisms however, when the whole of the major premise is false, but the other true, the conclusion may be true; also when the major A B is partly false, but B C (the minor) wholly true; and when A B the major is true, but the particular false, also when both are false. For there is nothing to prevent A from concurring with no B, but with a certain C, and also to prevent B from being present with a certain C, as animal is with no snow, but is with something white, and snow with something white. If then snow is taken as the middle, and animal as the first term, and if A is assumed present with the whole of B, but B with a certain C, the whole proposition A B will be false, but B C true, also the conclusion will be true.
It will happen also the same, if the proposition A B is negative, since A may possibly be with the whole of B, and not with a certain C, but B may be with a certain C. Thus animal is with every man, but is not consequent to something white, but man is present with something white; hence if man be placed as the middle term, and A is assumed present with no B, but B with a certain C, the conclusion will be true, though the whole proposition A B is false.
If again the proposition A B be partly false,
