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 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 Pierre Simon Laplace - Chapman & Hall
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.
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 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.