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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: The non-existence of "dark numbers" [was: The existence of dark
 numbers proven by the thinned out harmonic series]
Date: Sun, 16 Mar 2025 19:44:10 +0100
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On 16.03.2025 19:14, Jim Burns wrote:
> On 3/16/2025 1:20 PM, WM wrote:

>> Which index has the first lossless exchange
>> where a loss happens?
> 
> A set larger than
> each set without same.sized proper.subsets
> is not
> any set without same.sized proper.subsets:
> That set has same.sized proper.subsets.

Waffle. All exchanges are indexed. If you claim that the first Bob 
disappears, then he must disappear at some index. Which is it?

Regards, WM