The Cantor set has measure zero (no size) from outside measurement, but contains infinitely many points—as many points as the original full line—making it paradoxical like the Doctor Who TARDIS: small on the outside, palatial on the inside.
factualpending
Speaker
Tim PalmerEvidence Quote
“Cantor set takes no is no size whatsoever...zero size and yet from the inside it contains...as many points as you started with on the full uh line”
Source
Chaos theory and geometry: can they predict our world? – with Tim Palmer— The Royal InstitutionCreated: 8/10/2026, 11:02:02 PM
My Notes
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