Sujet : Re: how
De : pc+usenet (at) *nospam* asdf.org (Phil Carmody)
Groupes : sci.mathDate : 22. Jun 2024, 23:25:28
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <87tthk8vjb.fsf@fatphil.org>
References : 1 2 3 4 5 6 7 8 9 10 11 12
User-Agent : Gnus/5.13 (Gnus v5.13) Emacs/26.1 (gnu/linux)
FromTheRafters <
FTR@nomail.afraid.org> writes:
WM laid this down on his screen :
Le 22/06/2024 à 19:34, Jim Burns a écrit :
On 6/22/2024 8:11 AM, WM wrote:
>
if existing [nonempty], must have a smallest element - according
to Cantor.
But it has not.
Therefore there is no necessary FISON.
>
Yes.
No FISON is necessary ⇔
Each FISON is unnecessary ⇐
For each FISON, a proper.superset.FISON exists.
>
The set has no first element. ==> The set is empty.
If ℕ is union of FISONs, then ℕ is empty.
>
The set of integers is empty? Say it ain't so!
The set of everything WM knows about integers, however...
Phil
-- We are no longer hunters and nomads. No longer awed and frightened, as we havegained some understanding of the world in which we live. As such, we can castaside childish remnants from the dawn of our civilization.-- NotSanguine on SoylentNews, after Eugen Weber in /The Western Tradition/