It goes without saying that objections are raised from every side. Among men, arithmetical prodigies are looked upon as monsters, as a sort of extremely rare teratological phenomenon. We can count, at most, half-a-dozen in a century, whereas, among horses, the faculty would appear to be almost general, or at least quite common. In fact, out of six or seven stallions whom Krall tried to initiate into the secrets of mathematics, he found only two that appeared to him too poorly gifted for him to waste time on their education. These were, I believe, two thoroughbreds that were presented to him by the Grand-duke of Mecklenburg and sent back by Krall to their sumptuous stables. In the four or five others, taken at random as circumstances supplied them, he met with aptitudes unequal, it is true, but easily developed and giving the impression that they exist normally, latent and inactive, at the bottom of every equine soul. From the mathematical point of view, is the horse's subliminal consciousness then superior to man's? Why not? His whole subliminal being is probably superior to one, of greater range, younger, fresher, more alive and less heavy, since it is not incessantly attacked, coerced and humiliated by the intelligence which gnaws at it, stifles it, cloaks it and relegates it to a dark corner which neither light nor air can penetrate. His subliminal consciousness is always present, always alert; ours is never there, is asleep at the bottom of a deserted well and needs exceptional operations, results and events before it can be drawn from its slumber and its unremembered deeps. All this seems very extraordinary; but, in any case, we are here in the midst of the extraordinary; and this outlet is perhaps the least hazardous. It is not a question, we must remember, of a cerebral operation, an intellectual performance, but of a gift of divination closely allied to other gifts of the same nature and the same origin which are not the peculiar attribute of man. No observation, no experiment enables us, up to the present, to establish a difference between the subliminal of human beings and that of animals. On the contrary, the as yet restricted number of actual cases reveals constant and striking analogies between the two. In most of those arithmetical operations, be it noted, the subliminal of the horse behaves exactly like that of the medium in a rate of trance. The horse readily reverses the figures of the solution; he replies, "37," for instance, instead of "73," which is a mediumistic phenomenon so well-known and so frequent that it has been styled "mirror-writing." He makes mistakes fairly often in the most elementary additions, and subtractions and much less frequently in the extraction of the most complicated roots, which again, in similar cases, such as "xenoglossy" and psychometry, is one of the eccentricities of human mediumism and is explained by the same cause, namely, the inopportune intervention of the ever fallible intelligence,