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On 14.09.2024 18:33, Richard Damon wrote:Keep in mind that the real line is infinitely dense, or granular if you will... :^)On 9/14/24 10:01 AM, WM wrote:Two points are next to each other means that no point is between them.And, since for ANY two points on the real number line, x, and y, the point (x+y)/2 is another real point between them,Why don't you start with (x+y)/2? Or better with the end of the sequence? In actual infinity you could.
there are absolutely NO points on the real line next to each other.No definable points, to be precise. If there is no point next to 0 then there is a gap. I do not accept gaps on the real line.
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