Mathematical Philosophy: A Study of Fate and Freedom
by Cassius Jackson Keyser
Publisher: E.P. Dutton & company 1922
Number of pages: 490
Though the course is designed primarily for students whose major interest is in Philosophy, I venture to hope that the lectures may not be ungrateful to a much wider circle of readers and scholars who desire to acquire a fair understanding of such genuinely great mathematical ideas as are accessible to all educated laymen and to come thus into touch with the universal spirit of the science which Plato called divine.
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by Albert Taylor Bledsoe - J.B. Lippincott & Co
The text covers first principles of the infinitesimal method, the method of indivisibles, solution of the mystery of Cavalieri's method, the method of Descartes, or analytical geometry, the method of Leibnitz, the method of Newton.
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The book presents a map of the wide region of mathematical science -- a bird's-eye view of its features, and of the true bearings and relations of all its parts. Auguste Comte was the first philosopher of science in the modern sense of the term.
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Most research mathematicians neither think deeply about nor are terribly concerned about either pedagogy or the philosophy of mathematics. Nonetheless, as I hope to indicate, aesthetic notions have always permeated (pure and applied) mathematics.
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Classic book on probability theory. It demonstrates, without the use of higher mathematics, the application of probability to games of chance, physics, reliability of witnesses, astronomy, insurance, democratic government, and many other areas.