Re: There is a first/smallest integer (in Mückenland)

Le 18/07/2024 à 04:15, Richard Damon a écrit :

On 7/17/24 10:43 AM, WM wrote:

Can you explain how NUF(x) can increase from 0 to many more in one point x although all unit fractions are separated by finite distances of uncountably many x each?
 

Because is isn't a properly defined function.

What do you miss in its definition?

 It has no finite value for any finite value of x > 0.

Then basic mathematics is false. ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 shows that every unit fraction occupies its own point.

 Thus, one need no figure how it gets from 0 to any other number, since it doesn't.

Does it go from 0 to ℵo? How can that happen?
Regards, WM