TWO:Two passages in Aristotles writings have been supposed to give evidence of his admiration for Alexander. One is the description of the magnanimous man in the Ethics. The other is a reference in the Politics to an ideal hero, whose virtue raises him so high above the common run of mortals that their duty is to obey him as if he were a god. But the magnanimous man embodies a grave and stately type of character quite unlike the chivalrous, impulsive theatrical nature of Alexander,177 while probably not unfrequent among real Hellenes; and the god-like statesman of the Politics is spoken of rather as an unattainable ideal than as a contemporary fact. On the whole, then, we must conclude that the intercourse between these two extraordinary spirits has left no distinct trace on the actions of the one or on the thoughts of the other.We have here, also, the secret of that elaborate machinery devised for the very unnecessary purpose of converting syllogisms of the second and third figure into syllogisms of the first, which is one of the Stagirites principal contributions to logic. For it is only in the first figure that the notion by which the extremes are either united or held apart is really a middle term, that is to say, really comes between the others. The distinction between perfect and imperfect syllogisms also serves to illustrate Aristotles systematic division between the necessary and the contingent. The method of proof by inclusion corresponds in its unconditioned and independent validity to the concentric arrangement of the supernal spheres; the second and third figures, with their conversions and reductions, to the sublunary sphere in its helpless dependence on380 the celestial revolutions, and its transformations of the elements into one another.
