Re: Replacement of Cardinality

Le 30/08/2024 à 03:09, Richard Damon a écrit :

On 8/29/24 9:27 AM, WM wrote:

Le 29/08/2024 à 01:48, Richard Damon a écrit :

On 8/28/24 8:57 AM, WM wrote:

Le 28/08/2024 à 04:13, Richard Damon a écrit :
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Well NUF(x) does not exist, but that doesn't say that infinity is not actual,

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So the unit fractions are actually existing but their number isn't? Strange!

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There number exists, it is aleph_0.
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You just can't count them from the "end" that doesn't have an end.

 Why not?
 

Because you can't start at an end that isn't there.

0 is below the end. Hence there is an end.

 Try to tell me the actual number you are going to start at.

I start with NUF(0) = 0.

 Logic that depends on the existance of something that doesn't exist is just broken.

Mathematics is the science which allows to prove things which cannot be seen.
Regards, WM