What are called the Figures of the syllogism (being three in number, for the fourth is a superfluous and even absurd addition of the Moderns to the three known to Aristotle) are in the usual mode of treatment put side by side, without the slightest thought of showing their necessity, and still less of pointing out their import and value. No wonder then that the figures have been in later times treated as an empty piece of formalism. They have however a very real significance, derived from the necessity for every function or characteristic element of the notion to become the whole itself, and to stand as mediating ground.--But to find out what 'moods' of the propositions (such as whether they may be universals, or negatives) are needed to enable us to draw a correct conclusion in the different figures, is a mechanical inquiry, which its purely mechanical nature and its intrinsic meaninglessness have very properly consigned to oblivion. And Aristotle would have been the last person to give any countenance to those who wish to attach importance to such inquiries or to the syllogism of understanding in general. It is true that he described these, as well as numerous other forms of mind and nature, and that he examined and expounded their specialities. But in his metaphysical theories, as well as his theories of nature and mind, he was very far from taking as basis, or criterion, the syllogistic forms of the 'understanding.' Indeed it might be maintained that not one of these theories would ever have come into existence, or been allowed to exist, if it had been compelled to submit to the laws of understanding. With all the descriptiveness and analytic faculty which Aristotle after his fashion is substantially strong in, his ruling principle is always the speculative notion; and that syllogistic of 'understanding' to which he first gave such a definite expression is never allowed to intrude in the higher domain of philosophy. * * * * *