Indispensability Arguments in the Philosophy of Mathematics
Indispensability Arguments in the Philosophy of Mathematics

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[Revised entry by Mark Colyvan on March 6, 2023.
Changes to: Bibliography]
One of the most intriguing features of mathematics is its applicability to empirical science. Every branch of science draws upon large and often diverse portions of mathematics, from the use of Hilbert spaces in quantum mechanics to the use of differential geometry in general relativity. It’s not just the physical sciences that avail themselves of the services of mathematics either. Biology, for instance, makes extensive use of difference equations and statistics. The roles mathematics plays in these theories is also…

Originally appeared on Stanford Encyclopedia of Philosophy Read More

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