Re: Replacement of Cardinality

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?
 Regards, WM
 

Because you can't start at an end that isn't there.
Try to tell me the actual number you are going to start at.
Go ahead, try.
You can say your logic says there must be one, but that shows your logic is wrong, as there isn't a smallest unit fraction or largest Natural Number.
Logic that depends on the existance of something that doesn't exist is just broken.