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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.logic
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Sat, 23 Nov 2024 22:39:11 +0100
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On 23.11.2024 22:20, Jim Burns wrote:
> On 11/23/2024 12:23 PM, WM wrote:

>> |E(k)| ≥ |E(k+1)| = |E(k)| - 1.
> 
> E(k) ⊇ E(k+1)
> |E(k)| ≥ |E(k+1)|
>   doesn't contradict
> |E(k)| ≤ |E(k+1)|

It does.
> 
> Together,
> |E(k)| = |E(k+1)|
> and
> |E(k+1)| doesn't lose one number.

Spare your nonsense.

> |E(k)| = |E(k+1)| is infinite.

The cardinality is an unsharp measure.
> 
> ----
> Do you (WM) object to
>   k ↦ k+1 : one.to.one

I don't know what that waffle should mean.

Regards, WM