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From: WM <wolfgang.mueckenheim@tha.de>
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Le 24/08/2024 à 22:16, Jim Burns a écrit :

> Many of us are more familiar with necklaces which
> have some minimum size of bead (or of whatever).

The unit fractions have no minimum distance but more than nothing.
> 
> For rationals,
> there is a greatest lower bound of distances
> between different rationals,
> but,
> for a minimum distance to exist,
> the greatest lower bound needs to be a distance.

For a distance to exist in every case mathematics is sufficicient:
∀n ∈ ℕ: 1/n - 1/(n+1) > 0 . 

> The greatest lower bound of distances is 0,

The distances between all unit fractions are positive. The GLB is to 
comfort blind persons who cannot think.

Regards, WM