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I grabbed a proof I had laying aroundBetween each pair of unit fractions, there is a finite distance. To gather ℵ₀ unit fractions, ℵ₀ finite distances are required. Their sum is not zero. Therefore the statement NUF(x) = ℵ₀ für x > 0 is wrong.
and re.purposed it,
so that's my excuse.
But yours is better.
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