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

On 9/12/24 1:44 PM, WM wrote:

On 12.09.2024 14:29, Richard Damon wrote:

On 9/12/24 7:24 AM, WM wrote:

On 12.09.2024 03:04, Richard Damon wrote:

On 9/11/24 3:40 PM, WM wrote:
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Open intervals are intervals which have dark endpoints. Note that between any pair of visible real numbers there are many dark real numbers.

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No, Open intervals are intervals that exclude the endpoint from the interval, and thus don't HAVE an "endpoint".

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Intervals consist of points. Where no point is, there is no interval. Where an interval is, there is a point. The belief in an interval-end without points is pure matheology.

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But there isn't a spot on the line without a "point", so there is no spot with "no point"

 Therefore the end of an open interval consist of points.

The "end" of the open interval isn't in the interval, that is why it is called "open".
There is no "first" point of that interval, just an infinite set of points approaching that point.

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Regards, WM