Sujet : Re: Replacement of Cardinality (infinite middle)
De : james.g.burns (at) *nospam* att.net (Jim Burns)
Groupes : sci.logic sci.mathDate : 14. Aug 2024, 04:37:30
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <58c50fcb-41ea-4ac3-9791-81dafd4b7a59@att.net>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
User-Agent : Mozilla Thunderbird
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.
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