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

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

On 30.09.2024 20:33, Jim Burns wrote:

On 9/30/2024 11:12 AM, WM wrote:

 

What you are talking about aren't _our_ sets.

 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.
For any finite number x, NUF(x) will be Aleph_0, and Aleph_0 when you attempt to "increment" it, doesn't change.
Since there is no finite value of x where NUF(x) can be 1, there is no point were in increments from 0 to 1, or 1 to 2, or and finite increment.
Thus, your "claim" is just another delusional lie that come out of your exploded to smithereen logic system.

>
We have no more reason to care about _your_ "sets".

 No reason even to care about mathematical basic truths like
∀n ∈ ℕ: 1/n - 1/(n+1) > 0 ?

Which means there is no value of 1/n where NUF(x) CAN be 1, since there will ALWAYS be a 1/(n+1) smaller than it

Unit fractions do not come into being.

 But they come into sight.

And they are all there.
"Sight" isn't a property of numbers, not in the normal discussion of them.
Since you have been unable to actually DEFINE what you mean by those terms, they are just figments of your blown to smithereen mind,

 Regards, WM