Re: how

Liste des GroupesRevenir à s math 
Sujet : Re: how
De : chris.m.thomasson.1 (at) *nospam* gmail.com (Chris M. Thomasson)
Groupes : sci.math
Date : 23. Apr 2024, 00:21:18
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v06rdd$17868$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Mozilla Thunderbird
On 4/22/2024 8:19 AM, WM wrote:
Le 21/04/2024 à 18:32, Moebius a écrit :
 
Alle geraden (natürlichen) Zahlen sind natürliche Zahlen. Erzählst Du Deinen Studenten an der THA etwas anderes?
 No, you are right. But not all doubling results in even natural numbers.
>
Proof: Let k in {2*n : n e IN}. Then there is an n in IN such that k = 2*n. Since IN is closed unter multiplication and 2 is in IN too, 2*n in IN and hence k in IN. Hence {2*n : n e IN} c IN. qed
 Proof: The original set ℕ fits into (0, ω). The doubled set doesn't.
The set is infinite, not finite. Any natural number * 2 is already in the set. Sigh.

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24 Mar 24 * V1414WM
24 Mar 24 +* Re: V20Chris M. Thomasson
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