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

On 13.09.2024 23:13, Jim Burns wrote:

On 9/13/2024 1:20 PM, WM wrote:

Fact is that the real axis is nothing but its points.

 Yes.
ℝ[ℚ[ℤ[ℕ[⟨0,…,n⟩]]]] holds
points.between ratios of countable.to numbers.

There is no gap.

 Yes.
>

Every point has a next point but
next to defined points are dark points.

 No.
Next.to.defined points are not.in ℝ[ℚ[ℤ[ℕ[⟨0,…,n⟩]]]]

Not in what you know about these sets, but existing, because:
WM: There is no gap.
JB: Yes

 

Next to every defined points there are ℵo dark points.
This configuration cannot be changed.

 Whatever it is you are talking about,
we are talking about ℝ[ℚ[ℤ[ℕ[⟨0,…,n⟩]]]]

That's not enough.
Regards, WM