WebbGeorge Pólya (1887 - 1985) - Biography - MacTutor History of Mathematics George Pólya Quick Info Born 13 December 1887 Budapest, Hungary Died 7 September 1985 Palo Alto, California, USA Summary Pólya worked in probability, analysis, number theory, geometry, combinatorics and mathematical physics. View nine larger pictures Biography On the one hand, philosophy of mathematics is concerned with problemsthat are closely related to central problems of metaphysics andepistemology. At first blush, mathematics appears to study abstractentities. This makes one wonder what the nature of mathematicalentities consists in and how we can have … Visa mer The general philosophical and scientific outlook in the nineteenthcentury tended toward the empirical: platonistic aspects ofrationalistic theories of mathematics … Visa mer In the years before the second world war it became clear that weightyobjections had been raised against each of the three anti-platonistprograms in the philosophy … Visa mer Benacerraf’s work motivated philosophers to develop bothstructuralist and nominalist theories in the philosophy of mathematics(Reck & Price 2000). And since … Visa mer In recent years, subdisciplines of the philosophy of mathematics havestarted to arise. They evolve in a way that is not completelydetermined by the “big debates” … Visa mer
An Introduction to the Philosophy of Mathematics
WebbGreek mathematicians wisely avoided non-uniform magnitudes which could not be reduced to uniform magnitudes. The reason for this has partly to do with the difficulty of representing non-uniformity abstractly. Hence, Aristotle needs to consider non-uniform magnitudes for his proofs, but lacks the mathematics to deal with them. Webbintriguing mathematical and philosophical territory. Topics include the realism/anti-realism debate in mathematics, mathematical explanation, ... , The Stanford Encyclopedia of Philosophy, online edition, viii Cambridge University Press 978-0-521-82602-0 - An Introduction to the Philosophy of Mathematics Mark Colyvan Frontmatter More … florence school of regulation mario ragwitz
Philosophy of mathematics Britannica
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