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I had a couple of things in mind. One was means. That you can solve a problem by restating another way, in a way that it's almost indistinguishable from the original. e.g. solving a problem in linear algebra that also solves a problem in graph theory. solving a group theoretic problem that gives you an answer in topology. solving a problem using category theory that gives you a combinatorial answer, using quaternion algebra to compute a rotation, etc.

The other thing is that in Math you are often dealing with the same question but with very different objects or variable types. The same question where your numbers could be real or complex, integers or finite fields, vector spaces or topological spaces, etc., change what the "correct" answer to the question might be.



Thanks! I had deleted under the assumption it would just get lost in the pile of comments.




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