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? Date: Sat, 21 Sep 2024 16:48:00 -0700 Organization: A noiseless patient Spider Lines: 31 Message-ID: References: <13c08e96ad635f8142b38d89863a80caf17a32a8@i2pn2.org> <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org> <87jzfchnxc.fsf@bsb.me.uk> <4b617ec8573746a45483060acdd082653f14fda5@i2pn2.org> <890ae313-aa9b-4f49-a53a-2374c9957f01@tha.de> <2555906859e8d5836476a38f4fc437a67872f331@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 22 Sep 2024 01:48:01 +0200 (CEST) Injection-Info: dont-email.me; posting-host="0029950ff4e92ba21a7d99fa35b943c5"; logging-data="1874333"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/O3QeOgp20gRv4Qqt+uG9vI4z1J2eV3FY=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:A2uHK6wlpXnqezWQMPZL/gMt9Js= In-Reply-To: <2555906859e8d5836476a38f4fc437a67872f331@i2pn2.org> Content-Language: en-US Bytes: 2865 On 9/21/2024 4:25 PM, Richard Damon wrote: > On 9/21/24 9:57 AM, WM wrote: >> On 21.09.2024 01:06, Richard Damon wrote: >>> On 9/20/24 2:33 PM, WM wrote: >> >>>> How can 10 points exist in linear order without a first one? >> >>> Who says they can't. >> >> In order to count to 10, you have to start at 1. >>> >>> Its just when they become infinite that there might be ends that >>> don't exist. >> >> In order to count a countable set, you have to start at 1. >> >> Regards, WM >> > > Right, so the countable numbers have ONE end that can be used to count > from. What about the signed integers? Well, we can always start from origin, at 0. ;^) > > You can count UP to infinity by counting up. > > You can't count DOWN from infinity, as there is no place to start.