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There is an interesting passage in praise of puzzles in the quaint letters of Fitzosborne.Here is an extract: "The ingenious study of making and solving puzzles is a science undoubtedly of most necessary acquirement, and deserves to make a part in the meditation of both sexes.This course has also obviated the necessity of my repeating myself. Tulliver found himself confronted by any little difficulty he was accustomed to make the trite remark, "It's a puzzling world." There can be no denying the fact that we are surrounded on every hand by posers, some of which the intellect of man has mastered, and many of which may be said to be impossible of solution.For the sake of brevity, Amusements in Mathematics is throughout referred to as A. Solomon himself, who may be supposed to have been as sharp as most men at solving a puzzle, had to admit "there be three things which are too wonderful for me; yea, four which I know not: the way of an eagle in the air; the way of a serpent upon a rock; the way of a ship in the midst of the sea; and the way of a man with a maid." Probing into the secrets of Nature is a passion with all men; only we select different lines of research.The daily walk recommended by the doctor for the good of the body, or the daily exercise for the brain, may in itself appear to be so much waste of time; but it is the truest economy in the end.Albert Smith, in one of his amusing novels, describes a woman who was convinced that she suffered from "cobwigs on the brain." This may be a very rare complaint, but in a more metaphorical sense many of us are very apt to suffer from mental cobwebs, and there is nothing equal to the solving of puzzles and problems for sweeping them away.The curious propensity for propounding puzzles is not peculiar to any race or to any period of history.

Well, you cannot invent a good puzzle to order, any more than you can invent anything else in that manner.They keep the brain alert, stimulate the imagination, and develop the reasoning faculties.And not only are they useful in this indirect way, but they often directly help us by teaching us some little tricks and "wrinkles" that can be applied in the affairs of life at the most unexpected times and in the most unexpected ways.For many of the best problems cannot be solved by any familiar scholastic methods, but must be attacked on entirely original lines.

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This is why, after a long and wide experience, one finds that particular puzzles will sometimes be solved more readily by persons possessing only naturally alert faculties than by the better educated.

"It is a book of remarkable ingenuity and interest."—Educational Times. "An exceedingly ingenious constructor and solver of fascinating puzzles, mathematical and otherwise."—School Guardian. it is all mighty ingenious, and very intelligently put before the reader."—Sheffield Telegraph. contains quite a number of ingenious new mental problems ... But, on second thoughts, I decided to let the book stand in its original form and add extended solutions and some short notes to certain problems that have in the past involved me in correspondence with interested readers who desired additional information.