Sujet : Re: The set of necessary FISONs
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.mathDate : 24. Feb 2025, 01:12:48
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <6b966b1ced7b5849eddbd07016ee737e03db51d1@i2pn2.org>
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User-Agent : Mozilla Thunderbird
On 2/23/25 2:35 PM, WM wrote:
On 23.02.2025 18:55, joes wrote:
Am Sun, 23 Feb 2025 18:33:51 +0100 schrieb WM:
Induction produces ℕ, not only a finite number.
Induction does not "produce" any infinite number.
Induction produces all finite natural numbers. That is the infinite set ℕ. Removing all finite natural numbers leaves the empty set.
Regards, WM
No, Induction does NOT produce N, put induction is a process that test if a set contains the set of natural numbers.
N is produces as a result of the other axioms of ZFC.
Maybe you don't even understand the German version and are confusing the words used. You clearly don't know how to properly translate them to English.