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

On 11/2/2024 1:50 PM, WM wrote:

On 02.11.2024 15:10, Jim Burns wrote:

On 11/1/2024 1:24 PM, WM wrote:

Hence
at least ℵ₀ points with
ℵ₀ intervals of uncountably many points
must be between 0 and x₀.

>

That cannot happen at x₀ = 0.

>
No.
There is no x₀ > 0 which,
  between it and 0,
   that does not happen.

>
Then there is an x₀ where it happens.
x₀ =/= 0

Each x₀ > 0 is an x₀ where it happens.
Also,
for each x₀ > 0 (where it happens)
x₁ exists: x₀ > x₁ > 0 (where it happens)
x₀ is not the least where it happens.
Each point is not the least where it happens.