"In the world we live in, what we know and what we don't know are like Siamese twins, inseparable, existing in a state of confusion."

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To do mathematics is to engage in an act of discovery and conjecture, intuition and inspiration; to be in a state of confusion − not because it makes no sense to you, but because you gave it sense and you still don't understand what your creation is up to.

— Paul Lockhart