Path: news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"] Date: Wed, 2 Apr 2025 16:18:53 +0200 Organization: A noiseless patient Spider Lines: 18 Message-ID: References: <9e0c7e728f7de44e13450d7401fe65d36c5638f3@i2pn2.org> <3449b34c60603bf59f694df42857003d0bda7ab5@i2pn2.org> <0074d95ba2083aef42a1c3ae26436077457e0824@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 02 Apr 2025 16:18:55 +0200 (CEST) Injection-Info: dont-email.me; posting-host="3b3ad02323851999ad8af01c7ee6b1d2"; logging-data="1940896"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+hm5yACH1l7YFTaz1MYahagh0VqXy1jjc=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:fMPa/9tNXzr3o9/551opxas0LLQ= Content-Language: en-US In-Reply-To: On 28.03.2025 01:55, Moebius wrote: > Am 27.03.2025 um 20:31 schrieb WM: >> Am 27.03.2025 um 15:59 schrieb joes: > >>> The number of rooms is fixed, >> >> One more guest requires one more room. > > Nope. "so daß jedes Element der Menge an einer bestimmten Stelle dieser Reihe steht" [E. Zermelo: "Georg Cantor – Gesammelte Abhandlungen mathematischen und philosophischen Inhalts", Springer, Berlin (1932) S. 152] If another element enters, then something must change. That is possible in potential infinity. Regards, WM