Re: Replacement of Cardinality (infinite middle)

On 8/13/2024 9:03 PM, Ross Finlayson wrote:

On 08/12/2024 09:25 PM, Jim Burns wrote:

On 8/12/2024 8:28 PM, Ross Finlayson wrote:

It's like yesterday,
in this thread with the subject of it
talking about
"infinite in the middle and
always with both ends",

>
I have just realized that
I have been overlooking your "always".
>
"ALWAYS with both ends" is finite.

If it's infinite in the middle

If
it's infinite in the middle and
its non.{} subsets always have both ends,
then
it's not infinite in the middle.

then, the middle acts as the fixed-point,
thus augmenting automatically yon definition,
and suffering not this.
>
Or, for example, it's a counter-example.

Definitions do not have counter.examples.
A four.sided triangle is not a counter.example.
It is an incorrectly.identified non.triangle.