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On 11/11/2024 3:33 PM, WM wrote:No, the intervals remain constant in size and multitude.On 11.11.2024 19:23, Jim Burns wrote:On 11/11/2024 3:41 AM, WM wrote:By which, you mean that translation changes intervals.>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.
Therefore the intervals covering all naturals cannot cover more. But the rationals are more in the sense that they include all naturals and 1/2. By your argument Cantor has been falsified.(The set of intervals remains constantThe set of intervals remains constant. Absolutely.
in size and multitude.)
Sets do not change.
Intervals do not change.
Mathematical objects do not change.
Les messages affichés proviennent d'usenet.