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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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2D problems which are easier to solve in 3D
This is essentially the idea behind level set methods (cf https://en.wikipedia.org/wiki/Level_set_method ).
There are several situations where one needs to study the behavior of a dynamic surface with …