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On 9/12/24 7:24 AM, WM wrote:Right. There are infinite points on any line. Denote a line by p0 and p1, if they are different we have a line. Otherwise they are the same point...On 12.09.2024 03:04, Richard Damon wrote:But there isn't a spot on the line without a "point", so there is no spot with "no point"On 9/11/24 3:40 PM, WM wrote:>
>Open intervals are intervals which have dark endpoints. Note that between any pair of visible real numbers there are many dark real numbers.No, Open intervals are intervals that exclude the endpoint from the interval, and thus don't HAVE an "endpoint".>
Intervals consist of points. Where no point is, there is no interval. Where an interval is, there is a point. The belif in an interval-end without points is pure matheology.
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Regards, WM
Yes, it may be matheology, but that matheology is the only way to HAVE that line,
Your "logic" just blew itself up when you went from a line with a finite number of descrete point, to being continous.
Sorry, you are just too stupid to understand the limitiations of your logic,
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