Sujet : Re: Incompleteness of Cantor's enumeration of the rational numbers
De : noreply (at) *nospam* example.org (joes)
Groupes : sci.mathDate : 19. Nov 2024, 13:11:02
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <d6a5e73be248fa79106fb0b78bcff951b4646fa4@i2pn2.org>
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User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
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.