Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.mathDate : 13. Sep 2024, 16:52:26
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org>
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User-Agent : Mozilla Thunderbird
On 9/13/24 11:41 AM, WM wrote:
On 12.09.2024 20:15, Richard Damon wrote:
On 9/12/24 1:48 PM, WM wrote:
No spot of an interval is free of points. No point of an interval is free of points.
>
Right, and that includes the space between the point you think is the first point of the open interval and the end point of that interval
Between [0, 1] and (0, 1] there is nothing, there is not a spot or point of the interval.
Regards, WM
Right, just a missing 0.
But that doesn't mean there is a lowest most point in (0, 1] as any point you might want to call it will have another point between it and 0.
Note, I said between the point your THINK is the first, there is no such point, and thus you are agreeing to that fact.
You can only have a first point in the open interval if the interval has only a finite number of points, but it has an infinite number of points, so there is no space for a first.