Path: ...!eternal-september.org!feeder2.eternal-september.org!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Sat, 2 Nov 2024 16:35:03 -0400 Organization: i2pn2 (i2pn.org) Message-ID: <607f56c29c2e4929fb0bc113946a2df71fb9c2a2@i2pn2.org> References: <6a90a2e2-a4fa-4a8d-83e9-2e451fa8dd51@att.net> <30dffbdf129483f7b61e3284d1e7bf2ad2e5ea16@i2pn2.org> <9ca97f4a24ae1e3041583265125cf860d2fada11@i2pn2.org> <4850cc0b411191fefa3f8f0b90c769aeb1645ec0@i2pn2.org> <82b707e7c00e3b65fdd6fd64e2a696a2dd389c47@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 2 Nov 2024 20:35:04 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="647582"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird Content-Language: en-US X-Spam-Checker-Version: SpamAssassin 4.0.0 In-Reply-To: Bytes: 2576 Lines: 22 On 11/2/24 1:57 PM, WM wrote: > On 02.11.2024 17:02, Richard Damon wrote: >> On 11/2/24 6:15 AM, WM wrote: >>> On 02.11.2024 01:55, Richard Damon wrote: >>> >>>> Infinite sets do not need to have both ends in them. >>> >>> Between 0 and 1 there are unit fractions. Hence there must be a first >>> one. The interval without unit fractions and the interval containing >>> unit fractions are separated by the smallest unit fraction. > >> Why? >> >> That is just finite logic. > > There is no other logic. > > Regards, WM > Of course there is, It just the finite thinkers can't understand it.