Greek Texts & Translations

"Again, the sum of things is infinite. For what is finite has an extremity, and the extremity of anything is discerned only by comparison with something else. (Now the sum of things is not discerned by comparison with anything else : ^note) hence, since it has no extremity, it has no limit ; and, since it has no limit, it must be unlimited or infinite.

"Moreover, the sum of things is unlimited both by reason of the multitude of the atoms and the extent of the void. 10.1.42 For if the void were infinite and bodies finite, the bodies would not have stayed anywhere but would have been dispersed in their course through the infinite void, not having any supports or counterchecks to send them back on their upward rebound. Again, if the void were finite, the infinity of bodies would not have anywhere to be.

"Furthermore, the atoms, which have no void in them - out of which composite bodies arise and into which they are dissolved - vary indefinitely in their shapes ; for so many varieties of things as we see could never have arisen out of a recurrence of a definite number of the same shapes. The like atoms of each shape are absolutely infinite ; but the variety of shapes, though indefinitely large, is not absolutely infinite. 10.1.43 [For neither does the divisibility go on "ad infinitum," he says below ^note; but he adds, since the qualities change, unless one is prepared to keep enlarging their magnitudes also simply "ad infinitum."]

"The atoms are in continual motion through all eternity. [Further, he says below, ^note that the atoms move with equal speed, since the void makes way for the lightest and heaviest alike.] Some of them rebound to a considerable distance from each other, while others merely oscillate in one place when they chance to have got entangled or to be enclosed by a mass of other atoms shaped for entangling. ^note

"This is because each atom is separated from the rest by void, which is incapable of offering any resistance to the rebound ; while it is the solidity of the atom which makes it rebound after a collision, however short the distance to which it rebounds, when it finds itself imprisoned in a mass of entangling atoms. Of all this there is no beginning, since both atoms and void exist from everlasting. [He says below that atoms have no quality at all except shape, size, and weight. But that colour varies with the arrangement of the atoms he states in his "Twelve Rudiments" ; further, that they are not of any and every size ; at any rate no atom has ever been seen by our sense.]

"The repetition at such length of all that we are now recalling to mind furnishes an adequate outline for our conception of the nature of things.

"Moreover, there is an infinite number of worlds, some like this world, others unlike it. ^note For the atoms being infinite in number, as has just been proved, are borne ever further in their course. For the atoms out of which a world might arise, or by which a world might be formed, have not all been expended on one world or a finite number of worlds, whether like or unlike this one. Hence there will be nothing to hinder an infinity of worlds.

"Again, there are outlines or films, which are of the same shape as solid bodies, but of a thinness far exceeding that of any object that we see. For it is not impossible that there should be found in the surrounding air combinations of this kind, materials adapted for expressing the hollowness and thinness of surfaces, and effluxes preserving the same relative position and motion which they had in the solid objects from which they come. To these films we give the name of `images' or `idols.' Furthermore, so long as nothing comes in the way to offer resistance, motion through the void accomplishes any imaginable distance in an inconceivably short time. For resistance encountered is the equivalent of slowness, its absence the equivalent of speed.

"Not that, if we consider the minute times perceptible by reason alone, ^note the moving body itself arrives at more than one place simultaneously (for this too is inconceivable), although in time perceptible to sense it does arrive simultaneously, however different the point of departure from that conceived by us. For if it changed its direction, that would be equivalent to its meeting with resistance, even if up to that point we allow nothing to impede the rate of its flight. This is an elementary fact which in itself is well worth bearing in mind. In the next place the exceeding thinness of the images is contradicted by none of the facts under our observation. Hence also their velocities are enormous, since they always find a void passage to fit them. Besides, their incessant effluence meets with no resistance, ^note or very little, although many atoms, not to say an unlimited number, do at once encounter resistance.