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Maybe-Mathematical Musings

Mathematicians deal with lots of different kinds of "numbers". But where do they come from? In this series we'll see where different types of exotic numbers came from, and what reasonable questions we need them to answer. In Part 1, we're starting off with the simplest types of numbers: the algebraic numbers. We'll see how we could have invented square roots and weirder things on our own, just by asking one reasonable question after another.