Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Tue, 8 Oct 2024 12:37:38 -0700 Organization: A noiseless patient Spider Lines: 27 Message-ID: References: <8c94a117d7ddaba3e7858116dc5bc7c66a46c405@i2pn2.org> <8ce3fac3a0c92d85c72fec966d424548baebe5af@i2pn2.org> <55cbb075e2f793e3c52f55af73c82c61d2ce8d44@i2pn2.org> <05a3027798506434bf2f30b527e0f57d300e76c3@i2pn2.org> <6f188d193341a3862f4c788a44dff3dfb27fb6bd@i2pn2.org> <81f6f0271a53803c0bf79be304ce2484e33aecda@i2pn2.org> <9c40b18616ae46bd3220da775ee80456b643c982@i2pn2.org> <50b4ecf5c6f8f0c7bd580775c382896660500045@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Tue, 08 Oct 2024 21:37:39 +0200 (CEST) Injection-Info: dont-email.me; posting-host="d938895af8a55dcdf6009a32333c8ef4"; logging-data="2417443"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18cpYVOU//us+IjQdRBzkZzl/OVs5hYCvA=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:bq2QnLMcjy2H4UYZFJRxJKWZGjI= Content-Language: en-US In-Reply-To: <50b4ecf5c6f8f0c7bd580775c382896660500045@i2pn2.org> Bytes: 3105 On 10/8/2024 6:36 AM, Richard Damon wrote: > On 10/8/24 6:03 AM, WM wrote: >> On 08.10.2024 09:30, Moebius wrote: >>> Am 08.10.2024 um 09:29 schrieb Moebius: >> >>>> Properly understood, the idea of a completed infinity is no longer a >>>> problem in mathematics or philosophy. It is perfectly intelligible >>>> and coherent. >> >> Yes, but it is completed and therefore fixed. The number of nines in >> 0.999... does not change when shifted by one step. >> >> Regards, WM >> > > But it must be infinite, and thus not have an "end" and thus there is no > "room" to add the zero. > > All you are doing is proving that you concept of "completed infinity" > isn't actually infinite. > > This is why it is said that completed/actual infinity doesn't exist, > because we are unable to understand how it works by comparing to to > things we actually do understand. Think of drawing a line between two points p0 and p1. There are infinite point between them, yet we still can draw that damn line! ;^)