The Locus of Mathematical Reality: An Anthropological Footnote

Abstract

“He's [the Red King's] dreaming now,” said Tweedledee: “and what do you think he's dreaming about?”Alice said, “Nobody can guess that.”“Why, about you!” Tweedledee exclaimed, clapping his hands triumphantly. “And if he left off dreaming about you, where do you suppose you'd be?”“Where I am now, of course,” said Alice.“Not you!” Tweedledee retorted contemptuously. “You'd be nowhere. Why, you're only a sort of thing in his dream!”“If that there King was to wake,” added Tweedledum, “you'd go out—bang!—just like a candle.”“I shouldn't!” Alice exclaimed indignantly. “Besides, if I'm only a sort of thing in his dream, what are you, I should like to know?”“Ditto,” said Tweedledum.“Ditto, ditto!” cried Tweedledee.He shouted this so loud that Alice couldn't help saying “Hush! You'll be waking him, I'm afraid, if you make so much noise.”“Well, it's no use your talking about waking him,” said Tweedledum, “when you're only one of the things in his dream. You know very well you're not real.”“I am real!” said Alice, and began to cry.“You won't make yourself a bit realler by crying,” Tweedledee remarked: “there's nothing to cry about.”“If I wasn't real,” Alice said—half laughing through her tears, it all seemed so ridiculous —“I shouldn't be able to cry.”“I hope you don't suppose those are real tears?” Tweedledum interrupted in a tone of great contempt.—Through the Looking Glass