Full name: The Philosophy of Mathematics: An Introductory Essay

Author: Stephan Korner Year: 1979 Rank: Rating: Original Rating: Pop Rating: Genres/categories: Philosophy Purchase/reserch links: LibraryThing Goodreads Amazon ISBNs: 9780486250489 0486250482

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 Korner 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, Korner presents a new position concerning the relation between mathematical theories, empirical data, and philosophical presuppositions.  The Review of Metaphysics praised this volume as "a lucid and stimulating essay which combines accuracy and sophistication with a minimum of technical language." Compact but comprehensive, this nontechnical introduction will appeal to professionals, students, and other readers interested in the intersection of philosophical problems with pure and applied mathematics. Similar books: Philosophy of Mathematics by Paul Benacerraf The Foundations of Arithmetic by Gottlob Frege Proofs and Refutations by Imre Lakatos Introduction to Mathematical Philosophy by Bertrand Russell Remarks on the Foundations of Mathematics by Ludwig Wittgenstein The Principles of Mathematics by Bertrand Russell What Is Mathematics, Really? by Reuben Hersh How Mathematicians Think by William Byers Descartes' Dream by Philip J. Davis Where Mathematics Comes From by George Lakoff From Frege to Godel by Jean van Heijenoort Philosophical Investigations by Ludwig Wittgenstein On Relationship by Jiddu Krishnamurti Tractatus Logico-Philosophicus by Ludwig Wittgenstein On Certainty by Ludwig Wittgenstein Musashi's Book of Five Rings by Stephen F. Kaufman Ayn Rand's Normative Ethics by Tara Smith The Warrior Within by John Little Nietzsche and Zen by Andre van der Braak