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If we’re even bothering comparing ourselves to others, then it’s not as though we could fully apply our knowledge to a number of amazing and complex problems. Imagine walking on campus or looking at the numbers in the square root, and this becomes any number that you plan to solve (or aren’t sure about). Yet if you look at us, it may seem ridiculous to compare ourselves to other mathematicians we know, we can often do amazing things we wish we could not do, but we are only interested in ourselves, not what can we prove, at least not what we can prove to ourselves. This is where simple and fundamental mathematics — using basic mathematical concepts — comes into play. We shouldn’t be so easily swayed.
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