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On 12.09.2024 14:29, FromTheRafters wrote:So, you are admitting that your "Dark Numbers" are just caused by your having insufficent intelegence to understand the true nature of the actual Natural Number System.After serious thinking WM wrote :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.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:Grey points are dark points which can become visible.Open intervals are intervals which have dark endpoints.>
What about the gray ones?
>
Points which change? What function causes a point to change?
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 (which is outside the interval) proving that your point wasn't the first there.>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 the endpoints of open intervals will remain dark forever.>
Open intervals simply don't contain endpoints, dark or otherwise.
Regards, WM
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