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Reasonable Hope (Math) · October 17 · 4 min

A Reality Too Large to List

Fractions can be arranged in a never-ending list, but the real numbers cannot. Cantor’s discovery offers a picture of reality exceeding our descriptions—and invites humility about the limits of logic and language.

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Fractions can be arranged in a never-ending list, but the real numbers cannot. Cantor’s discovery offers a picture of reality exceeding our descriptions—and invites humility about the limits of logic and language.

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