How can one make a proof that doesn't consist of a bunch of symbolic manipulations "formal"?
2026-03-25 06:06:23.1774418783
How can one trust geometric proofs if humans are susceptible to optical illusions?
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We don't fully trust picture proofs. Any rigorous proof can be expressed as a bunch of symbolic manipulations. Some authors have even avoided drawing pictures to make this point.
It's usually far more enlightening to visualize the ideas, though. On that note you might be interested in reading the "Lockhart's Lament" essay.