Re: Unit fractions...

On 8/29/2024 3:26 AM, FromTheRafters wrote:

After serious thinking Chris M. Thomasson wrote :

On 8/28/2024 6:02 PM, Chris M. Thomasson wrote:

Just a little plot I did for Moebius and WM using unit fractions on any line in n-ary space. 3d here...
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https://i.ibb.co/9n71tZf/ct-pov.png
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https://i.ibb.co/0hXnPpf/ct-pov.png
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Wrt WM. Are his dark numbers, say plotting unit fractions on a line. Okay. Well, they will never hit zero even though they tend to zero. So, are WM's dark numbers the residue between 0 and any unit fraction, so to speak? So, 1/0 is not a unit fraction but 1/(really_large_natural_number) is? Still finite but I was wondering about the dark parts?

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They are in his imagination only. He simply "wants" them to exist so that he can use them to refute Cantor's diagonal argument about |Q| = |N|. He thinks numbers must be identified in order to pair them to show a bijection. He also thinks that failing to show a bijection means that there is no bijection.

 Some more experiments just for fun:
 https://www.facebook.com/share/p/Acx98dhJjkV6QBPX/