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Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: Julio Di Egidio <julio@diegidio.name> Newsgroups: sci.math Subject: Re: Log i = 0 Date: Fri, 6 Jun 2025 15:03:53 +0200 Organization: A noiseless patient Spider Lines: 31 Message-ID: <101uovp$27f36$1@dont-email.me> References: <sYEiFg9bb-rpcOy6CMCFxOsQvKw@jntp> <100u1hr$164q1$1@dont-email.me> <h0z1WzuRt17jRInBMV41NIJRQYo@jntp> <100v4db$1clol$1@dont-email.me> <100vb6e$1e1uv$1@dont-email.me> <100ve7j$1ek0p$1@dont-email.me> <100vf19$1ela4$1@dont-email.me> <100vfr3$1ek0p$2@dont-email.me> <100vih5$1fh1n$1@dont-email.me> <1011u94$20v84$2@dont-email.me> <1012ioa$25p6h$2@dont-email.me> <1014jf8$2l9jj$3@dont-email.me> <1014ns8$2mrl7$1@dont-email.me> <101544n$2p7d5$1@dont-email.me> <101561p$2p0cf$1@dont-email.me> <10156e0$2p7d4$3@dont-email.me> <10185r1$3g1go$2@dont-email.me> <WYKcncdqmvqI4qX1nZ2dnZfqnPednZ2d@giganews.com> <101a8rm$bmk$1@dont-email.me> <1tednYgOVfQCaqX1nZ2dnZfqn_idnZ2d@giganews.com> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Fri, 06 Jun 2025 15:03:53 +0200 (CEST) Injection-Info: dont-email.me; posting-host="883d2255afafdddd7f716d9912cc2238"; logging-data="2341990"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19wjx09UX416bpv7Nt3NMN/fxKFaM845ZE=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:exusrg07UoS9UylBAH5cnSHFjxc= Content-Language: en-GB, it In-Reply-To: <1tednYgOVfQCaqX1nZ2dnZfqn_idnZ2d@giganews.com> Bytes: 2827 On 30/05/2025 02:11, Ross Finlayson wrote: > On 05/29/2025 11:25 AM, WM wrote: >> On 29.05.2025 17:37, Ross Finlayson wrote: <snip> >>> It seems you're describing a simple book-keeping of an integer continuum >>> in areal terms. >>> >>> Also called a geometrization sometimes. >> >> Right. Do you understand the result? > > You can build it in Katz' OUTPACING simply enough, > that more is larger. > > That depends on a particular structure though, like geometry, > or often enough the integer lattice. > > Then that something is recursively self-similar, like the > "infinite balanced binary tree", any node of which is a copy > of the root, or "square Cantor space" where all the sequences > of 0's and 1's are in lexicographic order in the language of 2^w, > that's mostly defined by square Cantor space being an arithmetization > of a geometrization of a line-drawing the interval [0,1]. > > The only way I'd suggest you're making sense at all is to > agree with everything I say, and retroactively. Yep, except that "Cantor" arithmetizes [0,1] into [0,1). -Julio