The Philosophy of Mathematics
by Auguste Comte
Publisher: Harper & brothers 1851
Number of pages: 276
This book presents a comprehensive map of the wide region of mathematical science -- a bird's-eye view of its leading 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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by Bertrand Russell - University of Massachusetts Amherst
A very accessible mathematical classic. It sets forth in elementary form the logical definition of number, the analysis of the notion of order, the modern doctrine of the infinite, and the theory of descriptions and classes as symbolic fictions.
by Cassius Jackson Keyser - E.P. Dutton & company
Though the course is designed primarily for students whose major interest is in Philosophy, the lectures may be grateful to a wider circle of readers who desire a fair understanding of great mathematical ideas accessible to all educated laymen.
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.
by Jonathan M. Borwein - DocServer
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.