Sujet : Re: how
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 14. Jun 2024, 09:34:33
Autres entêtes
Organisation : Nemoweb
Message-ID : <5fWjlqMjzUHFygAk1yVCvtuDLOM@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
Le 13/06/2024 à 20:25, Jim Burns a écrit :
On 6/13/2024 10:55 AM, WM wrote:
If every number which has ℵ₀ successors
is deleted,
then none remain.
Try to think better. The successors are not deleted.
Explanations should be as simple as possible,
but no simpler.
Here is the simplest possible explanation:
If all numbers which have ℵo successors are deleted from ℕ, then ℵo successors remain in ℕ - in every step and, if existing, in the limit. But every definable number is deleted. None remains.
Note only the numbers with successors are deleted, the successors remain by definition.
Regards, WM