Re: How many different unit fractions are lessorequal than all unit fractions?

On 10/1/24 1:33 PM, WM wrote:

On 01.10.2024 01:07, Richard Damon wrote:

On 9/30/24 2:54 PM, WM wrote:

 

NUF(0) = 0 and NUF(1) = ℵo. ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 shows that at no point x NUF can increase by more than one step 1. It is fact with your set too. I am not responsible. I only made the discovery.

>
Actually, it shows that at no point CAN it increase by 1.

 Wrong because it cannot start with ℵo.

Then it can't be.

>
For any finite number x, NUF(x) will be Aleph_0, and Aleph_0 when you attempt to "increment" it, doesn't change.

 If NUF is ℵo at all x > 0 then it must count ℵo unit fractions at 0. Wrong.

No, just that there isn't a point for it to start counting at

>
Since there is no finite value of x where NUF(x) can be 1

 Wrong presupposition.

No presumption was made. Just proof.
IT shows that YOUR PRESOPPOSITION, that a finite funciton NUF(x) can exist is what is wrong.
Just proves your brain has been blown to smithereens by your contradictory logic based on incorrect assumptions.

 Regards, WM