Sujet : Re: Does the number of nines increase?
De : FTR (at) *nospam* nomail.afraid.org (FromTheRafters)
Groupes : sci.mathDate : 16. Jul 2024, 11:24:54
Autres entêtes
Organisation : Peripheral Visions
Message-ID : <v75hpp$17meg$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
User-Agent : MesNews/1.08.06.00-gb
Chris M. Thomasson pretended :
On 7/15/2024 5:09 PM, Moebius wrote:
Am 16.07.2024 um 01:57 schrieb Moebius:
> Siehe auch: https://en.wikipedia.org/wiki/Quantifier_shift
Hier wird als ein Beispiel für diesen Fehlschluss angeführt:
3. Every natural number ? has a successor ? = ? + 1, the smallest of all natural numbers that are greater than ?. Therefore, there is a natural number ? that is a successor to all natural numbers.
∀? ∃? ??? ⊢ ∃? ∀? ???.
It is fallacious to conclude that there is a single natural number that is the successor of every natural number.
>
There are infinite successors to any finite number?
'Infinitely many' would be a better way to state this.
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