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Path: ...!weretis.net!feeder9.news.weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.logic,sci.math Subject: Re: Replacement of Cardinality Date: Tue, 6 Aug 2024 16:46:33 -0700 Organization: A noiseless patient Spider Lines: 54 Message-ID: <v8uckp$1u85n$4@dont-email.me> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <411a6d693f5dac5ec7cf51a239a9570ac5ce7bd4@i2pn2.org> <9ynqddb0aIxRIgzLd8YZuWqFJQQ@jntp> <e12da78fd53e95ae8b54c4b0f100c10542acfa1a@i2pn2.org> <-e7H52W39rR5zxvT-LWQK-OpG5Y@jntp> <e7f793fb1fd82c90442679bfbcd2a334f10b7b13@i2pn2.org> <l90BjXTiETgjHOXXIVlMxb7MmW4@jntp> <1b5b8ca644d046287b98425370d9b63969f29b77@i2pn2.org> <sYsymRdUNsX2SjE7Q9zBfxLaMTA@jntp> <1ade977eb8eed80127f168342031db7515e61917@i2pn2.org> <ChXul2C6E8Q4fDOGO50gDzmwrU0@jntp> <7c5642f17367607b15d056059cce265ace05e13e@i2pn2.org> <v8s1hd$1b7ii$1@dont-email.me> <v8t8mn$1k004$1@dont-email.me> <v8u0jf$1q1od$2@dont-email.me> <v8u31u$1rds2$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 07 Aug 2024 01:46:34 +0200 (CEST) Injection-Info: dont-email.me; posting-host="9d4ef89b5f7d08f9f7e5c399dcf68e93"; logging-data="2039991"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/DJ38+EGbgaN7lSQwVoNUPme8jWGLPvgQ=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:nm0JC6nsE94LMgaXcV0Pq3/0Kb0= In-Reply-To: <v8u31u$1rds2$1@dont-email.me> Content-Language: en-US Bytes: 2978 On 8/6/2024 2:02 PM, Moebius wrote: > Am 06.08.2024 um 22:21 schrieb Chris M. Thomasson: >> On 8/6/2024 6:33 AM, Moebius wrote: >>> Am 06.08.2024 um 04:24 schrieb Chris M. Thomasson: >>> >>>> There are infinite[ly many] even[ numbers] and >>>> there are infinite[ly many] odd[ numbers]. >>> >>> On the other hand, some even numbers are odd. :-) >> >> ;^D 666? >> >> Ahh zero. I think its even... ;^) >> >> 1, 2, 3, 4, ... >> >> odd, even, odd, even, ... >> >> So, the pattern: >> >> -2, -1, 0, 1, 2 >> >> even, odd, (even), odd, even > > Yes. An integer z is even, iff there is am integer k such that z = 2k. > > Clearly for z = 0 there is an integer k (namely 0) such that z = 2k. > > In other words, an integer z is even if it can be deviede by 2 "without > a remainder =/= 0". > > Clearly 0 can be devided by 2 "without a remainder =/= 0": 0 / 2 = 0. > > So 0 is an odd even number? :-) I say even? Well, both (odd and even) at the same time? This makes me think of signed zero... +0 -0 and just, 0? (-2)->(-1)->(-0+)->(+1)->(+2) ? ;^) so going from -2, -1, -0 means we got to zero from the negative side. +2, +1, +0 means we got to zero from the positive side. 0 is just zero? -0+ ? wtf! ;^)