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On 21.11.2024 10:16, Mikko wrote:Yes. Shift the interval (10n, 10n+1) to (n/2, n/2+1).On 2024-11-20 11:42:15 +0000, WM said:Consider this simplified argument. Let every unit interval after a natural number n which is divisible by 10 be coloured black: (10n, 10n+1]. All others are white. Is it possible to shift the black intervals so that the whole real axis becomes black?The intervals before and after shifting are not different. Only their positions are.The intervals are different. A shifted interval contains a different
set of numbers.
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