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Failed to connect to MySQL: (1203) User howardkn already has more than 'max_user_connections' active connectionsPath: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Ben Bacarisse Newsgroups: sci.math Subject: Re: More complex numbers than reals? Date: Thu, 11 Jul 2024 01:35:49 +0100 Organization: A noiseless patient Spider Lines: 40 Message-ID: <87plrkn4t5.fsf@bsb.me.uk> References: <87msmqrbaq.fsf@bsb.me.uk> <0dUETcjzkRZSIY0ZGKDH2IRJuYQ@jntp> <87v81epj5v.fsf@bsb.me.uk> <878qyap1tg.fsf@bsb.me.uk> <871q40olca.fsf@bsb.me.uk> MIME-Version: 1.0 Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: 8bit Injection-Date: Thu, 11 Jul 2024 02:35:50 +0200 (CEST) Injection-Info: dont-email.me; posting-host="8f0c59e317bc680ad3ae1d9bc8fc08f2"; logging-data="2249811"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/+MP3SuUnq6qRSU61/TYvyn43Qg63v0+g=" User-Agent: Gnus/5.13 (Gnus v5.13) Cancel-Lock: sha1:tib1Iink83fJtkUaoIAvOPggiYU= sha1:lezQKrPLNlshyHRUbIymwl4SQ64= X-BSB-Auth: 1.2ee649eef2747f78840c.20240711013550BST.87plrkn4t5.fsf@bsb.me.uk Bytes: 2632 Moebius writes: > Am 11.07.2024 um 02:28 schrieb Chris M. Thomasson: >> On 7/10/2024 5:24 PM, Moebius wrote: >>> Am 11.07.2024 um 02:16 schrieb Chris M. Thomasson: >>> >>>> {a, b, c} vs { 3, 4, 5 } >>>> >>>> Both have the same number of elements, [...] >>> >>> HOW do you know that? Please define (for any sets A, B): >>> >>>      A and B /have the same number of elements/ iff ___________________ . >>> >>> (i.e. fill out the blanks). :-) >>> >>> Hint: That's what Ben Bacarisse is asking for. >>> >>> Sure, it's "obvious" for us. But how would you define "have the same >>> number of elements" (in mathematical terms) such that it can be DEDUCED >>> (!) für certain sets A and B? >>> >>> ________________________________________ >>> >>> Ok, I'm slighty vicious now... :-) >>> >>> If a = b = c, {a, b, c} still has "the same number of elements" as {3, >>> 4, 5 }? :-P >> I see {a, b, c} and {3, 4, 5} and think three elements. > > Even if a = b = c = 1? > > C'mon man! :-P Please, that's a red herring, and you know it! No where did I say that a, b and c stood for anything (i.e. that they might be variables in the maths sense). I this sort of context they are just distinct symbols. -- Ben.