Sujet : Re: Does the number of nines increase?
De : chris.m.thomasson.1 (at) *nospam* gmail.com (Chris M. Thomasson)
Groupes : sci.mathDate : 29. Jun 2024, 20:30:16
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v5pnc8$2b21$3@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Mozilla Thunderbird
On 6/29/2024 11:14 AM, WM wrote:
Le 29/06/2024 à 20:01, Jim Burns a écrit :
However,
we can reason about Avogadroᴬᵛᵒᵍᵃᵈʳᵒ 9s
by finite not.first.false claim.sequence
without going to them.
We can reason about ℵo nines, all missing the limit.
>
It's the same for infinitely.many 9s in that
we can't go to them, but
we can reason about them.
But most matheologians don't understand that the sequence
0.9, 0.09, 0.009, ... contains ℵo nines without containing the limit 0.
But
'infinite' is different from 'humongous' and
different conclusions get concluded.
If you think straight, then only one conclusion follows: 0.999... < 1.
And Bob does not disappear.
(0.999...) = 1 in base ten. Got it?