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WM <wolfgang.mueckenheim@tha.de> wrote:
Then you understand that every point, if existing, is independent of the others. All unit fractions are points with uncounably many points between each pair. Hence all must be visible including the point next to zero, but they are not.You have not understood that all unit fractions are separate points onI understand that full well.
the positive axis.
Try to think better. A function of sets which are losing some elements but remain infinite, have the same infinite core. That argument is absolutely definite, a logical necessity. If you cannot understand it, then it is useless to continue this discussion.A shrinking infinite set which remains infinite has an infinite core.Again, no. There is no such thing as a "core", here. Each of these sets
has an infinitude of elements. No element is in all of these sets.
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