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

On 08.10.2024 23:08, Alan Mackenzie wrote:

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

On 07.10.2024 18:11, Alan Mackenzie wrote:

What I should have
written (WM please take note) is:

 

The idea of one countably infinite set being "bigger" than another
countably infinite set is simply nonsense.

 

The idea is supported by the fact that set A as a superset of set B is
bigger than B.

 What do you mean by "bigger" as applied to two infinite sets when one of
them is not a subset of the other?

>
That is not in every case defined. But here are some rules:
Not all infinite sets can be compared by size, but we can establish some useful rules.
>
 The rule of subset proves that every proper subset has fewer elements than its superset