Path: ...!feeds.phibee-telecom.net!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Moebius Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Sun, 22 Sep 2024 21:07:16 +0200 Organization: A noiseless patient Spider Lines: 33 Message-ID: References: <13c08e96ad635f8142b38d89863a80caf17a32a8@i2pn2.org> <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org> <87414b50e6265e6e443c4486913201749f2696ed@i2pn2.org> <5b130929c7f56ea83246b7f6534ba5fae4598c62@i2pn2.org> <2551da6710975930f68b61f8e76ea6990411168b@i2pn2.org> <2c1940845e336c71cf55b737945d3132b1a41e62@i2pn2.org> <59204af99930441bf5a2cb92d80a34e25a0d0835@i2pn2.org> <649d66170b7274e49882940c18cde7817e62c560@i2pn2.org> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 22 Sep 2024 21:07:17 +0200 (CEST) Injection-Info: dont-email.me; posting-host="4ba71befe6124e1d5a28527c1038f01f"; logging-data="2439966"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18wcSotnJyirN3C6ruAY3k0" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:RQoUj1DER325oDTfCfKPOtm6k20= Content-Language: de-DE In-Reply-To: Bytes: 3221 Am 22.09.2024 um 20:55 schrieb Chris M. Thomasson: > On 9/22/2024 6:27 AM, WM wrote: >> On 22.09.2024 01:24, Richard Damon wrote: >>> On 9/21/24 4:02 PM, WM wrote: >>>> On 21.09.2024 01:04, Richard Damon wrote: >>>>  > On 9/20/24 2:13 PM, WM wrote: >>>>  >> On 20.09.2024 05:35, Richard Damon wrote: >>>>  >>> On 9/19/24 9:02 AM, WM wrote: >>>>  >> >>>>  >>>> "always another" is potential infinity. I am discussing actual >>>> infinity where all are there at once and no "always" is used. >>>>  >>> >>>>  >>> So, then how do you describe that fact that there IS always >>>> another. >>>>  >> >>>>  >> The reason is that only a potentially infinite collection of >>>> elements can be utilzed. >>>>  > >>>>  > But what keeps you from actually utilizing any of them? >>>> >>>> The fact that every used number belongs to a finite initial segment >>>> upon which almost all numbers are following. >>> >>> So, we can just choose the finite initial segment that includes that >>> number, and thus can use it, >> >> But you cannot choose the infinite rest. > > If a tree falls in a forest... ;^D Who knows ...