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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Tue, 19 Nov 2024 12:11:02 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <d6a5e73be248fa79106fb0b78bcff951b4646fa4@i2pn2.org>
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Am Mon, 18 Nov 2024 19:20:24 +0100 schrieb WM:
> On 18.11.2024 18:15, FromTheRafters wrote:
>> WM brought next idea :
> 
>>>> |ℕ| - |ℕ| = 0 because if you subtract one element from ℕ then you
>>>> have no longer ℕ and therefore no longer |ℕ| describing it.

> If you remove one element from ℕ, then you have still ℵo but no longer
> all elements of ℕ.
Yes, you have a subset of the same cardinality.

> If |ℕ| describes the number of elements, then it has
> changed to |ℕ| - 1. 
|N| - 1 = Aleph_0 - 1 = Aleph_0

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.