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On 10/3/24 2:25 PM, WM wrote:
You distinguish two unit fractions 1/n and 1/m if you place a point in distance d from 0 between them: 1/n < d < 1/m.
That means you cannot distinguish ℵ₀ smaller unit fractions.
Sure we can, we just can't find any that have less than Aleph_0 numbers below them since those numbers don't exist.They do. 0 has no unit fraction below it. If the next unit fraction has unit fractions below it, then it is not the next. It has ℵ₀ smaller unit fractions below it which cannot be distinguished.
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