Sujet : Re: Does the number of nines increase?
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 05. Jul 2024, 08:53:55
Autres entêtes
Organisation : Nemoweb
Message-ID : <hAhJQ7nieohA_6mzxTp_Pm537J8@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
Le 04/07/2024 à 20:52, Jim Burns a écrit :
On 7/4/2024 9:49 AM, WM wrote:
Yes, the line point is the limit of an infinite sequence.
Example: 0.999... --> 1.
But the sequence cannot be given other than
by its defining formula like "0.999...".
Givingᵂᴹ the sequence isn't needed in order for us
to know there is only one line.point.
Who doubted that? But uncountability could only be established by completed infinite sequences, not by finite formulas.
Regards, WM