Their operation, but beholds not Him,
“Wherefore a God!” he cries, “the world itself
Suffices for itself!” and Christian prayer
Ne'er praised him more, than does this blasphemy.
God's world could not possibly be a conglomeration of chances; it must be orderly, and the fact that it is so proves its dependence.
But while we thus hold fast to our canon, we shall [pg 059] find that the assertion of the world's dependence receives indirect corroboration even in regard to the astronomical realm, from certain signs which it exhibits, from certain suggestions which are implied in it. We must not wholly overlook two facts which, to say the least, are difficult to fit in with the idea of the independence and self-sufficiency of the world; these are, on the one hand, the difficulties involved in the idea of an eternal machine, and on the other the difficult fact of “entropy.” We have already compared the world to a mighty clock, or a machine which, as a whole, represents what can never be found in one of its parts, a perpetuum mobile. Let us however leave aside the idea of a perpetuum mobile, and dwell rather on the comparison with a machine. It seems obvious that in order to be a machine there must be a closed solidarity in the system. But how could a machine have come into existence and become functional if it is driven by wheels, which are driven by wheels, which are again driven by wheels ... and so on unceasingly? It would not be a machine. The idea falls to pieces in our hands. Yet our world is supposed to be just such an infinitely continuous “system.” How does it begin to depend upon and be sufficient unto itself? But further. It is a clock, we are told, which ever winds itself up anew, which, without fatigue and in ceaseless repetition, adjusts the universal cycles of becoming, and disappearing, and becoming again. It seems a corroboration of the old Heraclitian and Stoic conception, that the eternal primitive fire brings forth [pg 060] all things out of itself, and takes them back into itself to bring them forth anew. Even to-day the conception is probably general that, out of the original states of the world-matter, circling fiery nebulæ form themselves and throw off their rings, that the breaking up of these rings gives rise to planets which circle in solar systems for many æons through space, till, finally, their energy lessened by friction with the ether, they plunge into their suns again, that the increased heat restores the original state and the whole play begins anew.
All this was well enough in the days of naïvely vitalistic ideas of the world as having a life and soul. But not in these days of mechanics, the strict calculation of the amount of energy used, and the mechanical theory of heat. The world-clock cannot wind itself up. It, too, owes its activity to the transformation of potential energy into kinetic energy. And, since movement and work take place within it, there is in the clock as a whole just as in every one of its parts, a mighty process of relaxation of an originally tense spring, there is dissipation and transformation of the stored potential energy into work and ultimately into heat. And with every revolution of the earth and its moon the world is moving slowly but inexorably towards a final stage of complete relaxation of her powers of tension, a state in which all energy will be transformed into heat, in which there will be no different states but only the most uniform distribution, in which also all [pg 061] life and all movement will cease and the world-clock itself will come to a standstill.
How does this fit in with the idea of independence and self-sufficiency? How could the world-clock ever wind itself up again to the original state of tension which was simply there as if shot from a pistol “in the beginning”? Where is the everlasting impressive uniformity and constancy of the world? How does it happen that the world-clock has not long ago come to a standstill? For even if the original sum of potential energy is postulated as infinite, the eternity that lies behind us is also infinite. And so one infinity swallows another. And innumerable questions of a similar kind are continually presenting themselves.