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It is not possible to give here the details of this instruction, which was astonishingly rapid. The reader will find them on pages 117 et seq. of Krall's book, Denkende Tiere. Krall begins by explaining to Mohammed that 2 squared is equal to 2 X 2 = 4; that 2 cubed is equal to 2 X 2 X 2 = 6; that 2 is the square root of 4; and so on.

Let us add, to complete the magical and incredible character of the phenomenon that, according to Krall's own statement, the horse was not taught beyond the point of extracting the square root of the number 144 and that he spontaneously invented the manner of extracting all the others.

She saw first a paved yard, shaded by a big tree, with a building on the left and a garden at the back: a rough but not inapt description of Krall's stables, which my wife did not know and which I myself had not seen at the time when I wrote the note. She next perceived me in the midst of the horses, examining them, studying them with an absorbed, anxious and tired air.

They are the same again when the tests are made in the dark or when the animal's head is covered with a close-fitting hood. They do not vary either in the case of Berto, who is stone-blind, or when any other person whatever sets the problem in Krall's absence.

So he continues his reproaches: "Come now, are you going to be more careful and not rap out your letters anyhow?" Muhamed obstinately goes his own way and strikes an R. Then Krall's open face lights up: "He's right," he says. "You understand: H E R, standing for Herr. He wanted to give you the title to which every man wearing a top hat or a bowler has the right.

The first was that, at the time when she saw me in Krall's stable-yard, I was no longer there. She had received her vision just in the interval of a few hours between two visits. Experience shows, however, that this is a usual error among psychometers.

There is no secret about the almost puerile ingenuousness of Von Osten's methods and Krall's. They start with the principle that the horse is an ignorant but intelligent child; and they treat him as such. They speak, explain, demonstrate, argue and mete out rewards or punishments like a schoolmaster addressing little boys of five or six.

However, to explain their working, nothing is equal to an example based upon a personal experience. Here is one which is in no way remarkable, but which plainly shows the normal course of the operation. In September, 1913, while I was at Elberfeld, visiting Krall's horses, my wife went to consult Mme.

Following on these more and more conclusive experiments and especially after the publication of Krall's great work, Denkende Tiere, a model of precision and arrangement, men's minds were faced with clear and definite problem which, this time, could not be challenged. Scientific committees followed one another at Elberfeld; and their reports became legion. Learned men of every country including Dr.