Path: ...!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" Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Wed, 16 Oct 2024 10:55:42 -0700 Organization: A noiseless patient Spider Lines: 13 Message-ID: References: <3f5fcf13171337f1c3d2ef84cc149be327648451@i2pn2.org> <97b84c07aa526903a0788584f7f7ae9121f8b81f@i2pn2.org> <60f1280e-e226-4314-8eca-da5410be8ca3@tha.de> <96a7aa944085e76faed69c8db9a8dca599e1a159@i2pn2.org> <2c732eefb860986209bd46ed88391ddceaddff55@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 16 Oct 2024 19:55:44 +0200 (CEST) Injection-Info: dont-email.me; posting-host="d50fc26ef3ee67f284d1a6d15cca2184"; logging-data="2469946"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX193/O+hh30ZhlQZEaNGMSGFOhxIs0QmFsI=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:oe44ZAcgEOuUDvgxP2TDKWIUMFI= Content-Language: en-US In-Reply-To: Bytes: 2575 On 10/16/2024 1:19 AM, WM wrote: > On 15.10.2024 22:22, Ross Finlayson wrote: > >> "countable cardinality" is so dirt-obvious >> that it should go without saying, > > And it is disproved by aa general truth: When doubling natural numbers > we obtain natural numbers which have not been doubled. > In potential infinity we obtain more even natural numbers than have been > doubled. > In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ. BARF!!!!!!!!