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On 12.09.2024 22:54, Jim Burns wrote:Nope, nothing says "next to", and your idea of "dark numbers" is just undefined, because it is nothing but the inability of your logic to handle the things beyond it.On 9/12/2024 1:48 PM, WM wrote:not a result of understanding points.On 12.09.2024 14:29, FromTheRafters wrote:>After serious thinking WM wrote :>>But the endpoints of open intervals>
will remain dark forever.
Open intervals simply don't contain endpoints,
dark or otherwise.
You simply don't know about them.
The boundary ∂A of set A is
Fact is that the real axis is nothing but its points. There is no gap. Every point has a next point but next to defined points are dark points. Next to every defined points there are ℵo dark points. This configuration cannot be changed.
Regards, WM
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