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For every equation, every formula in the superficial world, there is a corresponding curve or solid. For irrational formulas, for my √ –1, we know of no corresponding solids, we’ve never seen them. . . . But that’s just the whole horror—that these solids, invisible, exist. They absolutely inescapably must exist. Because in mathematics their eccentric prickly shadows, the irrational formulas, parade in front of our eyes as if they were on a screen. And mathematics and death never make a mistake. And if we don’t see these solids in our surface world, there is for them, there inevitably must be, a whole immense world there, beneath the surface.
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