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From: WM <wolfgang.mueckenheim@tha.de>
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Le 12/07/2024 à 22:23, Jim Burns a écrit :
> On 7/12/2024 1:04 PM, WM wrote:

>> says a person who believes that
>> by exchanging two elements
>> one of them can be lost.
> 
> I have never claimed ℵ₀ = 2

You have claimed that by exchanging X and O an O can disappear, in fact 
infinitely many can disappear by pure exchange.

> The set ℕ⁺ᴮᵒᵇ of
> cardinals which, when augmented, are bigger plus Bob
> has the same cardinality ℵ₀ as

Cardinality is nonsense as my proof shows. There is no counting but only 
exchanging. You cannot consistently argue with rules which are disproved.

Regards, WM