Re: Replacement of Cardinality

Am 28.08.2024 um 06:20 schrieb joes:

Am Tue, 27 Aug 2024 19:36:08 +0000 schrieb WM:

Le 26/08/2024 à 02:15, Moebius a écrit :

Am 25.08.2024 um 23:18 schrieb Jim Burns:

On 8/25/2024 3:35 PM, WM wrote:

>

Dark numbers are not any bounds.

>
Fascinating: So we have that there are "dark numbers" which are smaller
(larger) than each and every s e SB (n e IN), but they are no bounds?

>
Dark natural numbers are larger than any visible natural number but
smaller than their bound omega.
Dark unit fractions are smaller than any visible unit fractions but
larger than their bound 0.

This sounds an awful lot like the hyperreal numbers.

Indeed! :-)
Mückenheim has been told this already, but he's too dumb to get the message.
Especially, that there are no hyperreal numbers in IR. (*sigh*)
WM: "The axiom of Archimedes is wrong!"