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On 12.11.2024 16:58, Jim Burns wrote:On 11/11/2024 3:33 PM, WM wrote:On 11.11.2024 19:23, Jim Burns wrote:On 11/11/2024 3:41 AM, WM wrote:
Intervals which are constant _only_>>>My intervals I(n) = [n - 1/10, n + 1/10]>
must be translated to all the midpoints
1/1, 1/2, 2/1, 1/3, 2/2, 3/1, 1/4, 2/3, 3/2, 4/1, 1/5,
2/4, 3/3, 4/2, 5/1, 1/6, 2/5, 3/4, 4/3, 5/2, 6/1, ...
if you want to contradict my claim.
Your 𝗰𝗹𝗮𝗶𝗺𝘀 start with "Sets change".
No, I claim that intervals can be translated.
By which, you mean that translation changes intervals.
No, the intervals remain constant
in size and multitude.
These intervals>(The set of intervals remains constant>
in size and multitude.)
The set of intervals remains constant. Absolutely.
Sets do not change.
Intervals do not change.
Mathematical objects do not change.
Therefore
the intervals covering all naturals
cannot cover more.
But the rationals are more in the sense thatThese intervals
they include all naturals and 1/2.
By your argument_What you understand_ as Cantor
Cantor has been falsified.
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