X-Received: by 2002:ad4:5509:0:b0:635:de3c:17da with SMTP id pz9-20020ad45509000000b00635de3c17damr23000qvb.6.1688312001187; Sun, 02 Jul 2023 08:33:21 -0700 (PDT) X-Received: by 2002:a63:1c54:0:b0:55b:3391:2293 with SMTP id c20-20020a631c54000000b0055b33912293mr4530431pgm.4.1688312001002; Sun, 02 Jul 2023 08:33:21 -0700 (PDT) Path: csiph.com!tncsrv06.tnetconsulting.net!usenet.blueworldhosting.com!diablo1.usenet.blueworldhosting.com!peer02.iad!feed-me.highwinds-media.com!news.highwinds-media.com!news-out.google.com!nntp.google.com!postnews.google.com!google-groups.googlegroups.com!not-for-mail Newsgroups: sci.logic Date: Sun, 2 Jul 2023 08:33:20 -0700 (PDT) In-Reply-To: <5cf34130-a303-fc0b-4798-1b05bd35fd6f@att.net> Injection-Info: google-groups.googlegroups.com; posting-host=2003:e4:7747:4a9a:94e4:f309:62b8:ef88; posting-account=jn1PxAoAAAD-XIFhTFFaTyGmTiEGt0_b NNTP-Posting-Host: 2003:e4:7747:4a9a:94e4:f309:62b8:ef88 References: <5ecf2c26-d125-4ba6-ac58-55acd906e111n@googlegroups.com> <87y1kc8jc6.fsf@bsb.me.uk> <3fac16e0-4fc3-4378-8339-222f48726819n@googlegroups.com> <87sfaj82m3.fsf@bsb.me.uk> <87ttuv3uek.fsf@bsb.me.uk> <878rc33y4n.fsf@bsb.me.uk> <5bf3786a-17a4-403b-94f8-de8343ecd263n@googlegroups.com> <91d90c26-9cd8-fdfe-9989-b52239d1aef1@att.net> <2e770bb4-eff9-4339-9b41-f31971887203n@googlegroups.com> <86da3652-697e-ed01-b1b5-8d302884173f@att.net> <6a2b99d3-657e-b139-6fb5-a19ae25d40f0@att.net> <884ec62a-36e8-433a-87ba-5771b5981bb3n@googlegroups.com> <4c3ec61e-b894-43bd-8603-0f329c4549efn@googlegroups.com> <9b94bfca-626b-423e-89b1-7bccaa961971n@googlegroups.com> <31b7ebdf-8279-701b-603e-22f55f29a22d@att.net> <5cf34130-a303-fc0b-4798-1b05bd35fd6f@att.net> User-Agent: G2/1.0 MIME-Version: 1.0 Message-ID: Subject: Re: Some results about unit fractions From: WM Injection-Date: Sun, 02 Jul 2023 15:33:21 +0000 Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable X-Received-Bytes: 2696 Xref: csiph.com sci.logic:255122 Jim Burns schrieb am Sonntag, 2. Juli 2023 um 00:49:57 UTC+2: > Essentially,=20 > "visible" =3D=3D "finitely accessible"=20 Yes, for natural numbers this is true. There exists a FISON (in principle, = not necessarily in our universe). Example 10^10^100 or Graham's number. >=20 > There are many ways to describe "finite".=20 > I have been leaning heavily on=20 > | (Paul St=C3=A4ckel) S can be given a total=20 > | ordering which is well-ordered both forwards=20 > | and backwards. Also true. Regards, WM