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Results tagged with mathematical-philosophy
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user 17907
Philosophical aspects of logic and set theory; truth status of mathematical axioms; Philosophy of Mathematics; philosophical aspects of mathematics in general; relation of mathematics to philosophy; etc. Consider also posting at http://philosophy.stackexchange.com/, where philosophy-of-mathematics is one of the most popular tags.
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Is pure mathematics useful outside of mathematics itself?
I think you're right to have these doubts, that is to say, I have had similar misgivings about the "usefulness" of my work in pure mathematics, and not only that, but the "usefulness" of pure mathemat …
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14
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Pressure to defend the relevance of one's area of mathematics
Let me address the very final part of your question, concerning "one’s own internalized sense of what is proper research". I have definitely encountered this form of internal doubt during my years as …
CommunityBot
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5
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Sine and Archimedes' derivation of the area of the circle
To answer your question 1: it really depends on which set of axioms you consider 'canonical'. If you look at it from the viewpoint of the first-year courses in calculus and vector analysis and the lik …
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