Re: Does the number of nines increase?

Le 26/06/2024 à 20:46, "Chris M. Thomasson" a écrit :

On 6/26/2024 12:15 AM, WM wrote:

9.999... has one 9 less after the decimal point than 0.999... .

 NO! Think of: .(9) * 10 = 9.(9) = 10

Wrong.
10*0.999...999 = 9.999...990
==> 10*0.999...999 < 9.999...999
==> 9*0.999...999 < 9
==> 0.999... < 1

There are still infinite nines... :^)

If the set ℕ is actually complete, then the set ℕ_0 has one element more.
Regards, WM