Re: Replacement of Cardinality

On 8/27/24 3:20 PM, WM wrote:

Le 25/08/2024 à 23:18, Richard Damon a écrit :

>
But the sum of the infinite series adding up the terms of
>
1/n - 1/(n+1)
>
never gets to 1,

 It does, but only in the darkness.

But you never needed to get to darkness.

 

You logic just condemns Achilles to never be able to pass the tortoise as every time he reaches where the tortoise was, the tortoise has moved some more so Achilles needs to move again.

 Overtaking is possible only in the darkness.

So, we can't SEE Achilles pass the tortoise, so how can we know that he did?

 Regards, WM
 

Your logic is just circular, so doesn't actually prove anything except your own blindness.
There is no maximum "visible" natural number, or smallest "visible" unit fraction, so just trying to close your eyes to the truth is just showing you are blind to the truth, and stupidly refusing to accept reality.
Sorry.