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Modifications & Generalizations | Intro to Math Structures VS1.6
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Often times we encounter complicated problems that are more easily understood in a simpler setting or a more general one. This idea can be thought of as modifying or generalizing a given problem and it is a fundamental idea to mathematical thinking. Here I go through a bit of mathematical philosophy around modifications and generalizations, and how thinking about problems through these lenses can help one more efficiently attach apparently complicated problems.