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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: Moebius <invalid@example.invalid> Newsgroups: sci.math Subject: Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"] Date: Mon, 24 Mar 2025 22:44:21 +0100 Organization: A noiseless patient Spider Lines: 20 Message-ID: <vrsjnl$1p9li$1@dont-email.me> References: <vqrbtd$1chb7$2@solani.org> <vrgm1k$2s8c6$2@dont-email.me> <c81100d7-9354-4c8e-b216-e147cab9b41c@att.net> <vrhrlb$3ta8t$1@dont-email.me> <c0de7504-7d17-42f1-83e8-8767c0859c0c@att.net> <vrj5nh$12273$1@dont-email.me> <efbe60c5-6691-4fd6-8638-589fd95ec8a4@att.net> <vrkabi$233at$1@dont-email.me> <vrkca8$18dh$1@news.muc.de> <vrlt7r$3hfcp$3@dont-email.me> <vrmg0s$308h$1@news.muc.de> <vrpfon$2q4gq$1@dont-email.me> <vrsf9n$1lg8$2@news.muc.de> <vrsgmo$1m479$1@dont-email.me> <vrshfs$1lg8$5@news.muc.de> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 24 Mar 2025 22:44:21 +0100 (CET) Injection-Info: dont-email.me; posting-host="c8d33bf3036d3ff7f40cb6616576354d"; logging-data="1877682"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19gBJ2zwoDZGi3/12yIKVF8" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:tX7A9hmgJb44RmtCZJ3gDEpnV1E= Content-Language: de-DE In-Reply-To: <vrshfs$1lg8$5@news.muc.de> Bytes: 2155 Am 24.03.2025 um 22:06 schrieb Alan Mackenzie: > The Wikipedia article describes [that natural density] it as a branch of > number theory, not set theory. Sure. But what do you expect from Mückenheim? On the other hand... (lol) "Die gesamte Mathematik inklusive der klassischen Zahlenbereiche läßt sich als Teilgebiet der Mengenlehre auffassen." ["All of mathematics, including classical number domains, can be regarded as a sub-field of set theory."] (A. Oberschelp, Aufbau des Zahhlensystems, 1968) Lit.: https://en.wikipedia.org/wiki/Arnold_Oberschelp .. .. ..