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Am Thu, 03 Oct 2024 20:25:07 +0200 schrieb WM:For a finite collection of unit fractions. For almost all unit fractions it is impossible.On 02.10.2024 22:07, Jim Burns wrote:Which is always possible.On 10/2/2024 7:12 AM, WM wrote:You distinguish two unit fractions 1/n and 1/m if you place a point inOn 01.10.2024 22:05, Jim Burns wrote:>You (WM) require us to guess what you mean by 'distinguish'.For every nonzero distance d from 0 there are ℵ₀.many unit.fractionsThat means there is no d by what you can distinguish ℵ₀ unit
closer than d
fractions?
distance d from 0 between them: 1/n < d < 1/m.
Of course there is fewer, namely zero. If slightly fewer is not possible, then ℵ₀ unit fractions sit at one point.Misconception: there is no „slightly fewer than ℵ₀”.There is no d between ℵ₀.many.smaller.unit.fractions andThat means you cannot distinguish ℵ₀ smaller unit fractions.
slightly.fewer.than.ℵ₀.many.smaller.unit.fractions.
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