Re: how

Liste des GroupesRevenir à s math 
Sujet : Re: how
De : FTR (at) *nospam* nomail.afraid.org (FromTheRafters)
Groupes : sci.math
Date : 07. Jun 2024, 18:32:09
Autres entêtes
Organisation : Peripheral Visions
Message-ID : <v3vg6v$25k03$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : MesNews/1.08.06.00-gb
WM explained :
Le 07/06/2024 à 13:10, Moebius a écrit :
Am 07.06.2024 um 13:01 schrieb WM:
Le 06/06/2024 à 20:12, Moebius a écrit :
Am 05.06.2024 um 22:39 schrieb WM:
>
 > most natural numbers are uncountable,
>
NO natural number is "uncountable"
 Proof (by induction): 1 is "countable" (at least in my book). If n is "countable", then n+1 is "countable" too (again, at least in my book). Hence all natural numbers are "countable".
>
>
Wrong. All numbers counted this way belong to a finite set*) upon which the infinite set**) of uncountable numbers is following.
∀n ∈ ℕ_contable: |ℕ \ {1, 2, 3, ..., n}| = ℵo
Wrong! Every element of the natural numbers is countable (finite) and the entire set is countably infinite. You cannot change things by simply renaming your n-def as n-countable and pretend that they exist in N.

Date Sujet#  Auteur
24 Mar 24 * V1414WM
24 Mar 24 +* Re: V20Chris M. Thomasson
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24 Mar 24 i  `* Re: V17WM
24 Mar 24 i   +* Re: V15Chris M. Thomasson
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26 Mar 24 i   i +* Re: V11Chris M. Thomasson
26 Mar 24 i   i i`* Re: V10WM
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28 Mar 24 i   i i i  `* Re: V3WM
28 Mar 24 i   i i i   `* Re: V2Chris M. Thomasson
28 Mar 24 i   i i i    `- Re: V1Chris M. Thomasson
26 Mar 24 i   i i +- Re: V1Chris M. Thomasson
26 Mar 24 i   i i `* Re: V2Chris M. Thomasson
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26 Mar 24 ii    i`* Re: Contradiction of bijections as a measure for infinite sets1282Jim Burns
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29 Mar 24 ii    i  i `* Re: Contradiction of bijections as a measure for infinite sets1276Richard Damon
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30 Mar 24 ii    i  i   `* Re: Contradiction of bijections as a measure for infinite sets1274Richard Damon
31 Mar 24 ii    i  i    `* Re: Contradiction of bijections as a measure for infinite sets1273WM
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