Those all sets are just one set of infinite number, and we did arranging those numbers into different set of point of view, so we thought we were dealing with something different increasingly at different stage of infniity.
It’s just a set. Only they did interchange in between numbers, so it looks like they did two or more moment, but actually just one moment interchangeably.
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Actually, whether we are trying to do cantor’s diagonal, or multiplying power set of aleph-null, but it’s actually we are doing on the same numbers as whole numbers, as one infinity.
Although you can create multiple infinities, still we are doing on the same range.
Continuum hypothesis is failed, because of these reasons:
If we can do multiple calc on different areas of infinity and that looks like we are doing things differently, or we're dealing with different infinity, but actually we're doing at the same area, the same numbes were used interchange...
I’m focusing on “overlap”. Cantors diagonal numbers don’t overlap with the ones on the list either. Even and don’t overlap odd either. Since we can order {0,1,3..} and {0,1,2,3,4…} by the time we get to 2 in the second list, we know we will never find it in the first. Both are infinite yet differ...
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