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The Use of Math in Real World and Abstract Thinking
The use of math in the real world involves identifying recurring patterns, abstracting away irrelevant details, describing the pattern using math, manipulating the math to prove new things, making predictions or generalizations, and then checking these predictions against the real world. Mathematicians focus on thinking abstractly and discarding unimportant details. The magic lies in finding the same abstraction in different settings, allowing the work to apply to many different scenarios.