Inasmuch as, on the assumption that all phenomena of inorganic matter are effects, purely unpremeditated, of Nature's capricious restlessness, there would of course be no more reason why any one such phenomenon than any other should not at any time occur, there would equally of course on the same assumption, be no more reason why it should. An infinity of phenomena being at all times equally possible, the chances against any one being, on any occasion, preferred to all the rest, would be infinity less one. Against any particular sequence of phenomena they would be as infinity less one multiplied by the number of phenomena composing the sequence, and against one or more repetitions of the same sequence they would be the same multiple of virtual infinity multiplied by the number of repetitions. Against perpetual repetition, they would, as it were, be virtual infinity multiplied by infinity. On the assumption stated, an apple loosened from the parent stem, might quite possibly fall to the ground, but quite as possibly might remain suspended in mid air, or rise straight upwards, or take any one of the innumerable directions intervening between zenith and nadir, travelling too, unless interrupted, in the direction selected for any period, from a single moment to endless ages. Experience, however, teaches that an apple or any other body of greater specific gravity than air, does invariably, when deprived of support, fall straight downward, such downward movement being part of one of those sequences of phenomena which are classed under the head of gravitation. Now, to assert that this, or any other, and consequently every other, specimen of gravitation, cannot possibly have been unpremeditated would no doubt be unwarrantable. No doubt there is one solitary, one infinitesimal chance that the force whose action results in gravitation may, when producing that result, be acting with as little choice of direction as a fidgetty man makes when moving his arms or legs about for no better reason than that he will not take the trouble to keep them quiet. Only, as on the supposition that the force did not select its course, the chances against its always taking the same course would be infinity less one indefinitely multiplied, the probability that it does select must needs be the same indefinite multiple of virtual infinity. Not less than this is the preponderance of probability that the invariably recurrent sequences of phenomena which we are in the habit of referring to gravitation, are premeditated, and that the law of gravitation has, so to speak, been wittingly ordained. And in this respect all invariable sequences of phenomena, otherwise termed laws of nature, stand plainly in the same category. One solitary and infinitesimal unit is the sole deduction to be made from what would otherwise be infinite certainty, that the assumption we started with is false, and that all invariable sequences are