Sujet : Re: Does the number of nines increase?
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.mathDate : 01. Jul 2024, 18:24:52
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v5uop5$15liu$3@dont-email.me>
References : 1 2 3 4
User-Agent : Mozilla Thunderbird
Am 01.07.2024 um 18:37 schrieb Chris M. Thomasson:
On 7/1/2024 9:15 AM, WM wrote:
Le 30/06/2024 à 20:45, Moebius a écrit :
Am 25.06.2024 um 22:18 schrieb WM:
>
Let the infinite sequence 0.999...
>
0.999... ist keine "infinite sequence", sondern eine Zahl,
>
Wrong. 0.999... is an abbreviation of ...(((0.9)9)9)... = 0.9, 0.99, 0.999, ... converging to but never reaching 1.
.(9) is just <etc.>
Please don't make the same mistakes as Mückenheim.
I'm talking about the number 0.999... (i.e. 1) here. Not about the string "0.999..." (consisting of 8 characters) or a "representation" (say the decimal representation) of the number which may be denoted by the string "0.999...", or ".(9)", etc.
This means especially that 0.999... (i.e. the number 1) is not an "infinite sequence".