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Mathematics plays an important role in virtually every scientific effort, no matter what part of the world it is aimed at. There is scarcely a natural or a social science that does not have substantial mathematics prerequisites. The burden on any complete philosophy of mathematics is to show how mathematics is applied to the material world, and to show how the methodology of mathematics (whatever it may be) fits into the methodology of the sciences (whatever it may be). In addition to its role in science, mathematics itself seems to be a knowledge-gathering activity. The philosophy of mathematics is, at least in part, a branch of epistemology. However, mathematics is at least prima facie different from other epistemic endeavors.

*Keywords: *
mathematics;
philosophy of mathematics;
methodology of mathematics;
epistemology;
material world;
logic

*Article.*
*11709 words.*

*Subjects: *
Philosophy of Mathematics and Logic

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