Here in one moment mark the recoil, the intolerable recoil, upon the Pagan mind, of that sting which vainly they pretended to have conquered on behalf of their Pantheon. Did the reader fancy that I was fatiguing myself with any task so superfluous as that of proving the Gods of the heathen to be no Gods? In that case he has not understood me. My object is to show that the ancients, that even the Greeks, could not support the idea of immortality. The idea crumbled to pieces under their touch. In realizing that idea unconsciously, they suffered elements to slip in which defeated its very essence in the result; and not by accident: other elements they could not have found. Doubtless an insolent Grecian philosopher would say, 'Surely, I knew that immortality meant the being liberated from mortality.' Yes, but this is no more than the negative idea, and the demand is to give the affirmative idea. Or perhaps I shall better explain my meaning by substituting other terms with my own illustration of their value. I say, then, that the Greek idea of immortality involves only the nominal idea, not the real idea. Now, the nominal idea (or, which is the same thing, the nominal definition) is that which simply sketches the outline of an object in the shape of a problem; whereas the real definition fills up that outline and solves that problem. The nominal definition states the conditions under which an object would be realized for the mind; the real definition executes those conditions. The nominal definition, that I may express it most briefly and pointedly, puts a _question_; the real definition _answers_ that question. Thus, to give our illustration, the insoluble problem of squaring the circle presents us with a good nominal idea. There is no vagueness at all in the idea of such a square; it is that square which, when a given circle is laid before you, would present the same superficial contents in such exquisite truth of repetition that the eye of God could detect no shadow of more or of less. Nothing can be plainer than the demand--than the question. But as to the answer, as to the _real_ conditions under which this demand can be realized, all the wit of man has not been able to do more than approach it. Or, again, the idea of a _perfect commonwealth_, clear enough as a nominal idea, is in its infancy as a real idea. Or, perhaps, a still more lively illustration to some readers may be the idea of _perpetual motion_. Nominally--that is, as an idea sketched problem-wise--what is plainer? You are required to assign some principle of motion such that it shall revolve through the parts of a mechanism self-sustained. Suppose those parts to be called by the names of our English alphabet, and to stand in the order of our alphabet, then A is through B C D, etc., to pass down with its total power upon Z, which reciprocally is to come round undiminished upon A B C, etc., for ever. Never was a _nominal_ definition of what you want more simple and luminous. But coming to the _real_ definition, and finding that every letter in succession must still give something less than is received--that O, for instance, cannot give to P all which it received from N--then no matter for the triviality of the loss in each separate case, always it is gathering and accumulating; your hands drop down in despair; you feel that a principle of death pervades the machinery; retard it you may, but come it will at last. And a proof remains behind, as your only result, that whilst the nominal definition may sometimes run before the real definition for ages, and yet finally be overtaken by it, in other cases the one flies hopelessly before the pursuit of the other, defies it, and never _will_ be overtaken to the end of time.