The Philosophy of Mathematics by Stephan Korner

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Concise, accessible sketches of the views of Plato, Aristotle, Leibniz, and Kant highlight this study of the general structure and foundation of pure and applied mathematics. Author Stephan Körner dedicates two chapters apiece — one expository and one critical — to each of the three main modern schools of thought on mathematical philosophy: the formalists, the logicists, and the intuitionists. After critically examining the propositions and theories of each philosophy, Körner presents a new position concerning the relation between mathematical theories, empirical data, and philosophical presuppositions.

Dover Publications, 1986.
ISBN: 9780486250489. 198 pp.
Softcover. Very good.