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 : 03. May 2024, 23:18:11
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v13nr3$p6fp$7@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13
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On 5/3/2024 7:17 AM, Moebius wrote:
Am 03.05.2024 um 15:23 schrieb FromTheRafters:
 
omega is the first infinite ordinal. It is not larger than the natural numbers, it *is* the natural numbers.
 Well, actually, it is larger than _each and every_ natural number.
 Using symbols: An e IN: n < ω.
 Using a common depiction: 0 < 1 < 2 < 3 < ... < ω.
 See: https://en.wikipedia.org/wiki/Ordinal_number
 On the other hand, you are right, in the context of axiomatic set theory (if the natural numbers and the ordinals defined due to von Neumann) we do have IN = ω.
0 < ω
1 < ω
2 < ω
3 < ω
...
This holds true for infinity...

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