As a final step in our analysis, therefore, we altogether quitted the region of experience, and ignoring even the very foundations of science, and so all the most certain of relative truths, we carried the discussion into the transcendental region of purely formal considerations. And here we laid down the canon, "that the value of any probability, in its last analysis, is determined by the number, the importance, and the definiteness of the relations known, as compared with those of the relations unknown;" and, consequently, that in cases where the unknown relations are more numerous, more important, or more indefinite than are the known relations, the value of our inference varies inversely as the difference in these respects between the relations compared. From which canon it followed, that as the problem of Theism is the most ultimate of all problems, and so contains in its unknown relations all that is to man unknown and unknowable, these relations must be pronounced the most indefinite of all relations that it is possible for man to contemplate; and, consequently, that although we have here the entire range of experience from which to argue, we are unable to estimate the real value of any argument whatsoever. The unknown relations in our attempted induction being wholly indefinite, both in respect of their number and importance, as compared with the known relations, it is impossible for us to determine any definite probability either for or against the being of a God. Therefore, although it is true that, so far as human science can penetrate or human thought infer, we can perceive no evidence of God, yet we have no right on this account to conclude that there is no God. The probability, therefore, that nature is devoid of Deity, while it is of the strongest kind if regarded scientifically--amounting, in fact, to a scientific demonstration,--is nevertheless wholly worthless if regarded logically. Notwithstanding it is as true as is the fundamental basis of all science and of all experience that, if there is a God, his existence, considered as a cause of the universe, is superfluous, it may nevertheless be true that, if there had never been a God, the universe could never have existed.