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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Thu, 9 Jan 2025 17:48:45 +0100
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On 09.01.2025 13:17, Richard Damon wrote:
> On 1/9/25 4:38 AM, WM wrote:
>> On 09.01.2025 00:45, joes wrote:
>>> Am Wed, 08 Jan 2025 23:06:27 +0100 schrieb WM:
>>
>>>> The set {1, 2, 3, ...} is smaller by one element than the set {0, 1, 2,
>>>> 3, ...}. Proof: {0, 1, 2, 3, ...} \ {1, 2, 3, ...} = {0}. Cardinality
>>>> cannot describe this difference because it covers only mappings of
>>>> elements which have almost all elements as successors.
>>> You can't talk about size without using |abs|.
>>
>> I can and I do. And everybody understands it in case of subsets. This 
>> proves, in this special case (and more is not required), that Cantor's 
>> size is only a qualitative measure, not a quantitative one.

> Sorry it *IS* true,

It is true that {1, 2, 3, ...} is a set and {0, 1, 2, 3, ...} is a 
greater set. Your hysteric moaning cannot change that.

Regards, WM