Re: how (holy shit!)

Liste des GroupesRevenir à s math 
Sujet : Re: how (holy shit!)
De : moebius (at) *nospam* example.invalid (Moebius)
Groupes : sci.math
Date : 22. Apr 2024, 16:59:20
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v061go$11gdo$2@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Mozilla Thunderbird
Am 22.04.2024 um 17:19 schrieb WM:
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.
Erzählst Du das auch Deinen Studenten an der THA?
Dass es natürliche Zahlen n gibt, so dass 2n KEINE geraden Zahl ist?
Faszinierend, Mückenheim! Sehr sogar! (So also sieht geistiger Zerfall aus.)

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.
Ich hatte Dir schon in paar mal nahe gelegt, endlich mal einen guten Psychiater aufzusuchen, Mückenheim. Aber Du willst ja nicht hören.
Hinweis: 2ℕ c ℕ c (0, ω). Daher 2ℕ c (0, ω).

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