thus we make inductions. Thus let A be long-lived, B void of bile, C every thing long-lived, as man, horse, mule; A then is present with the whole of C, for every thing void of bile is long-lived, but B also, or that which is void of bile, is present with every C, if then C is converted with B, and does not exceed the middle, it is necessary that A should be with B. For it has been before shown, that when any two things are present with the same thing, and the extreme is convertible with one of them, that the other predicate will also be present with that which is converted. We must however consider C as composed of all singulars, for induction is produced through all. A syllogism of this kind however is of the first, and immediate proposition; for of those which have a middle, the syllogism is through the middie, but of those where there is not (a middle) it is by induction. In some way also induction is opposed to syllogism, for the latter demonstrates the extreme of the third through the middle, but the former the extreme of the middle through the third. To nature therefore the syllogism produced through the middle is prior or more known, but to us that by induction is more evident.