OINOS. Are not the starry worlds that, from the abyss of nonentity, burst hourly forth into the heavens—are not these stars, Agathos, the immediate handiwork of the King? AGATHOS. Let me endeavor, my Oinos, to lead you, step by step, to the conception I intend. You are well aware that, as no thought can perish, so no act is without infinite result. We moved our hands, for example, when we were dwellers on the earth, and, in so doing, gave vibration to the atmosphere which engirdled it. This vibration was indefinitely extended, till it gave impulse to every particle of the earth’s air, which thenceforward, and for ever, was actuated by the one movement of the hand. This fact the mathematicians of our globe well knew. They made the special effects, indeed, wrought in the fluid by special impulses, the subject of exact calculation—so that it became easy to determine in what precise period an impulse of given extent would engirdle the orb, and impress (for ever) every atom of the atmosphere circumambient. Retrograding, they found no difficulty, from a given effect, under given conditions, in determining the value of the original impulse. Now the mathematicians who saw that the results of any given impulse were absolutely endless—and who saw that a portion of these results were accurately traceable through the agency of algebraic analysis—who saw, too, the facility of the retrogradation—these men saw, at the same time, that this species of analysis itself, had within itself a capacity for indefinite progress—that there were no bounds conceivable to its advancement and applicability, except within the intellect of him who advanced or applied it. But at this point our mathematicians paused. OINOS. And why, Agathos, should they have proceeded?