What are your favorite (potentially long) mathematician quotes? Bonus points if it's not just a pithy restatement of "math is beautiful", but something which changes how you think.
E.g. here's a nice one, h/t @Looking_glass_u:
“If one proves the equality of two numbers a and b by showing first that a ≤ b and then that a ≥ b, it is unfair; one should instead show that they are really equal by disclosing the inner ground for their equality.” Emmy Noether
“If one proves the equality of two numbers a and b by showing first that a ≤ b and then that a ≥ b, it is unfair; one should instead show that they are really equal by disclosing the inner ground for their equality.” Emmy Noether
Another good one: “All mathematicians are familiar with the concept of an open research problem. I propose the less familiar concept of an open exposition problem. Solving one means explaining a mathematical subject in a way that renders it totally perspicuous” - Timothy Chow
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