Sujet : Re: Replacement of Cardinality
De : noreply (at) *nospam* example.org (joes)
Groupes : sci.mathDate : 17. Aug 2024, 12:43:55
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <e4a1cde644d87088d5f9f8bafb5b234ac92c8f49@i2pn2.org>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
Am Wed, 14 Aug 2024 12:14:21 +0000 schrieb WM:
Le 13/08/2024 à 18:26, Jim Burns a écrit :
On 8/13/2024 10:27 AM, WM wrote:
No visibleᵂᴹ.or.darkᵂᴹ point ε > 0 is the end of both visibleᵂᴹ and
darkᵂᴹ unit.fractions.
Every ε > 0 is visible, because it is chosen.
But ℵo unit fractions occupy an interval y > 0 to settle there. Not
every point of y has ℵo smaller unit fractions.
Every chosen ε > 0 is larger than this interval y.
Then y must be 0, if epsilon can't be chosen smaller.
-- 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.