Everything is arbitrary here: it is an arbitrary invention to say that a fox could carry off a peasant's duck in winter, that peasants trap foxes, that a fox sleeps in the daytime in his lair (for he sleeps only at night); arbitrary is that hole which is uselessly dug in winter and covered with boards without being made use of; arbitrary is the statement that the fox eats horseflesh, which he never does; arbitrary is the supposed cunning of the fox, who runs past the hunter; arbitrary are the mound and the hunter, who does not shoot for fear of missing, that is, everything, from beginning to end, is bosh, for which any peasant boy might arraign the author of the story, if he could talk without raising his hand. Then a whole series of so-called exercises in Mr. Bunákov's lessons is composed of such questions as: "Who bakes? Who chops? Who shoots?" to which the pupil is supposed to answer: "The baker, the wood-chopper, and the marksmen," whereas he might just as correctly answer that the woman bakes, the axe chops, and the teacher shoots, if he has a gun. Another arbitrary statement in that book is that the throat is a part of the mouth, and so on. All the other exercises, such as "The ducks fly, and the dogs?" or "The linden and birch are trees, and the horse?" are quite superfluous. Besides, it must be observed that if such conversations are really carried on with the pupils (which never happens) that is, if the pupils are permitted to speak and ask questions, the teacher, choosing simple subjects (they are most difficult), is at each step perplexed, partly through ignorance, and partly because _ein Narr kann mehr fragen, als zehn Weise antworten_. Exactly the same takes place in the instruction of arithmetic, which is based on the same pedagogical principle. Either the pupils are informed in the same way of what they already know, or they are quite arbitrarily informed of combinations of a certain character that are not based on anything. The lesson mentioned above and all the other lessons up to ten are merely information about what the children already know. If they frequently do not answer questions of that kind, this is due to the fact that the question is either wrongly expressed in itself, or wrongly expressed as regards the children. The difficulty which the children encounter in answering a question of that character is due to the same cause which makes it impossible for the average boy to answer the question: Three sons were to Noah,[1]--Shem, Ham, and Japheth,--who was their father? The difficulty is not mathematical, but syntactical, which is due to the fact that in the statement of the problem and in the question there is not one and the same subject; but when to the syntactical difficulty there is added the awkwardness of the proposer of the problems in expressing himself in Russian, the matter becomes of greater difficulty still to the pupil; but the trouble is no longer mathematical.