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

On 10/8/24 4:48 AM, WM wrote:

On 07.10.2024 14:11, Alan Mackenzie wrote:

WM <wolfgang.mueckenheim@tha.de> wrote:

 

You have not understood that all unit fractions are separate points on
the positive axis.

>
I understand that full well.

 Then you understand that every point, if existing, is independent of the others. All unit fractions are points with uncounably many points between each pair. Hence all must be visible including the point next to zero, but they are not.

Just because the concept of points being next to point is just nonsense and contradictory.

A shrinking infinite set which remains infinite has an infinite core.

>
Again, no.  There is no such thing as a "core", here.  Each of these sets
has an infinitude of elements.  No element is in all of these sets.

 Try to think better. A function of sets which are losing some elements but remain infinite, have the same infinite core. That argument is absolutely definite, a logical necessity. If you cannot understand it, then it is useless to continue this discussion.
 

Nope, YOUR logic is deficient, and since you insist on holding to it, you are getting nowhere.

Regards, WM