Présentation de l'éditeur
ExM ATICS: A PHILOSOPHICAL AND HISTORICAL RETROSPECT Introduction The thought that impresses itself most forcibly upon ones mind as one approaches this subject of the part which the study of mathematics plays in education, is the extremely fortunate and exalted position that this discipline occupies in the hierarchy of the sciences that have been selected as especially designed to inform and cultivate the human mind. The oldest branch of human knowledge to be investigated, the first to take systematic and dogmatic form, it has, in the three thousand or more years of its development, rarely halted in its advances and never ceased to fructify either the fields of practical knowledge or the loftier realms of metaphysical thought. Men of affairs and philosophers, whether for material gain or pure intellectual enhancement, have, for ages, alike looked to it for succor and guidance; and wherever, in the history of human thought, it has appeared that the ideals of truth and certitude were destined to extinction, there in its despair thinking humanity has found in the irrefragable conclusions of mathematics an unfailing solace and support. Encircled with a halo of divinity by Pythagoras and Plato, with whom the laws of naiura-ware butthe geometricaL thoughts oF (jod, it ran serene and undisturbed the solitary gamut of its development through the entire history of philosophy, embracing, dominating, and even submerging in Descartes, Spinoza, and Kant the whole structure of human knowledge, and furnishing the prototype of all human investigation of truth.
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