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On 12.09.2024 21:12, Jim Burns wrote:Real numbers are dense. Keep in mind that every unit fraction is a real, but not all reals are unit fractions... :^)On 9/12/2024 7:39 AM, WM wrote:⎛ Expecting infinity to be unsurprisingExpecting infinity to obey logic is justified.
⎜ is like
⎜ traveling to Outer Mongolia and
⎝ expecting everyone there to speak perfect German.>I investigate it. I am sure that at every finite step Bob remains. And there are no other steps, even if there are infinitely many.
Infinity is foreign.
Foreign isn't uninvestigatable,The real axis has no gaps, not even a single one at the end of (0, 1] after zero.Nevertheless (0,1] has a smallest point.>
It is dark.
Where no point is, there is no interval.
Interval-ends without points are matheology.
"Obvious" has devolved into gibberish.
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