Re: how

Liste des GroupesRevenir à s math 
Sujet : Re: how
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 22. Apr 2024, 16:19:35
Autres entêtes
Organisation : Nemoweb
Message-ID : <S_Le61n7d-xIz4tLH0PH40tmLsA@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
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.
Regards, WM

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