Re: How many different unit fractions are lessorequal than all unit fractions?

WM formulated the question :

On 12.09.2024 14:29, FromTheRafters wrote:

After serious thinking WM wrote :

Le 11/09/2024 à 23:13, FromTheRafters a écrit :

Chris M. Thomasson laid this down on his screen :

On 9/11/2024 12:40 PM, WM wrote:

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Open intervals are intervals which have dark endpoints.

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What about the gray ones?
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Grey points are dark points which can become visible.

 Points which change? What function causes a point to change?

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For an eartworm all numbers are dark, for a dove numbers 1 to 7 are visible, for your pocket calculator numbers 1 to 10^99 are visible. If you couple some calculators, you get farther.

So a point's existence depends upon who or what acts as witness?

But the endpoints of open intervals will remain dark forever.

 Open intervals simply don't contain endpoints, dark or otherwise.

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You simply don't know about them. No spot of an interval is free of points. No point of an interval is free of points.

But a point without all of its cluster points within the interval is not wholly within the interval.