Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]
Groups > sci.logic > #210463 > unrolled thread
| Started by | peteolcott <Here@Home> |
|---|---|
| First post | 2019-09-11 12:05 -0500 |
| Last post | 2019-09-11 23:15 -0500 |
| Articles | 20 on this page of 322 — 13 participants |
Back to article view | Back to sci.logic
This discussion starts older than the indexed window; earlier articles aren't shown. The article labeled Started by
below is the oldest one visible, not the original post.
Re: Provably unprovable eliminates incompleteness (cardinality is incorrect) peteolcott <Here@Home> - 2019-09-11 12:05 -0500
Re: Provably unprovable eliminates incompleteness (cardinality is incorrect) Fred <Fred@nowhere.invalid> - 2019-09-11 18:37 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-11 18:32 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-12 01:15 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-11 19:30 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) temakoutera62@gmail.com - 2019-09-11 17:32 -0700
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-12 01:38 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-12 01:49 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) George Greene <greeneg@email.unc.edu> - 2019-09-14 18:22 -0700
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-15 02:32 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-14 21:19 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-15 03:29 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-14 21:41 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-15 04:19 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-14 22:46 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-15 13:02 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-16 10:26 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-17 00:21 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-16 18:24 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-17 02:10 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-16 20:41 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-17 03:34 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-16 22:43 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-16 23:12 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-17 09:27 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-17 14:26 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-17 11:53 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-18 03:55 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-17 22:19 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 21:23 -0600
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-17 22:31 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 22:04 -0600
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-17 23:21 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 22:40 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 00:27 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 23:55 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 00:59 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 00:12 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 10:15 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 09:35 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 11:00 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 10:14 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 11:26 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 10:42 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 13:10 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 12:36 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 13:49 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 12:59 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 14:12 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) Fred <Fred@nowhere.invalid> - 2019-09-18 20:25 +0100
Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 13:30 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 14:45 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 14:14 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 15:29 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 14:38 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 15:56 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 20:38 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-18 22:03 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) André G. Isaak <agisaak@gm.invalid> - 2019-09-18 21:33 -0600
Re: Provably unprovable eliminates incompleteness (NO GAPS) Fred <Fred@nowhere.invalid> - 2019-09-19 16:35 +0100
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-19 10:35 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) Fred <Fred@nowhere.invalid> - 2019-09-19 16:46 +0100
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-19 11:42 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) Fred <Fred@nowhere.invalid> - 2019-09-19 17:58 +0100
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-19 12:43 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) Fred <Fred@nowhere.invalid> - 2019-09-19 19:34 +0100
Re: Provably unprovable eliminates incompleteness (NO GAPS) Fred <Fred@nowhere.invalid> - 2019-09-18 19:42 +0100
Re: Provably unprovable eliminates incompleteness (NO GAPS) Fred <Fred@nowhere.invalid> - 2019-09-18 18:16 +0100
Re: Provably unprovable eliminates incompleteness (NO GAPS) Fred <Fred@nowhere.invalid> - 2019-09-18 18:12 +0100
Re: Provably unprovable eliminates incompleteness (NO GAPS) peteolcott <Here@Home> - 2019-09-19 10:24 -0500
Re: Provably unprovable eliminates incompleteness (NO GAPS) Fred <Fred@nowhere.invalid> - 2019-09-19 16:39 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Fred <Fred@nowhere.invalid> - 2019-09-18 18:05 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Exfalso Quodlibet <exflaso.quodlibet@gmail.com> - 2019-09-17 20:41 -0700
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-18 05:15 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-17 23:32 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 23:21 -0600
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-18 18:42 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-18 12:58 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Fred <Fred@nowhere.invalid> - 2019-09-18 19:05 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-19 01:42 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-18 20:46 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Fred <Fred@nowhere.invalid> - 2019-09-19 02:52 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-19 22:24 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-19 17:13 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-20 01:05 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-19 19:49 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-20 02:34 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-19 20:54 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-20 03:32 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Fred <Fred@nowhere.invalid> - 2019-09-20 14:16 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Fred <Fred@nowhere.invalid> - 2019-09-20 17:49 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-20 07:16 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-20 21:37 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-20 15:53 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-21 00:10 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-21 09:45 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Fred <Fred@nowhere.invalid> - 2019-09-21 17:20 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Jim Burns <james.g.burns@att.net> - 2019-09-21 14:39 -0400
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-22 13:32 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-23 19:50 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-24 02:27 +0100
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-24 15:22 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) peteolcott <Here@Home> - 2019-09-21 15:22 -0500
Re: Provably unprovable eliminates incompleteness (CONCISE RESTATEMENT) Fred <Fred@nowhere.invalid> - 2019-09-18 18:02 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-17 09:10 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-17 09:06 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-14 22:54 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-15 12:06 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-12 01:42 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-11 20:03 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-12 02:50 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-11 20:59 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-12 04:07 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-11 22:16 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-12 04:20 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-11 22:22 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-12 16:33 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-12 11:14 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-13 02:00 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Deceptive Strawman by Ben peteolcott <Here@Home> - 2019-09-12 21:39 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Deceptive Strawman by Ben Fred <Fred@nowhere.invalid> - 2019-09-13 16:38 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Deceptive Strawman by Ben peteolcott <Here@Home> - 2019-09-13 11:48 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Deceptive Strawman by Ben Fred <Fred@nowhere.invalid> - 2019-09-13 17:54 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-14 00:51 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-14 17:23 +0100
Re: Cantor was wrong about cardinality --- APOLOGY peteolcott <Here@Home> - 2019-09-14 13:09 -0500
Re: Cantor was wrong about cardinality --- APOLOGY Fred <Fred@nowhere.invalid> - 2019-09-14 19:28 +0100
Re: Cantor was wrong about cardinality --- APOLOGY Fred <Fred@nowhere.invalid> - 2019-09-14 19:33 +0100
Re: Cantor was wrong about cardinality --- APOLOGY peteolcott <Here@Home> - 2019-09-14 14:27 -0500
Re: Cantor was wrong about cardinality --- APOLOGY Fred <Fred@nowhere.invalid> - 2019-09-14 20:30 +0100
Re: Cantor was wrong about cardinality --- APOLOGY peteolcott <Here@Home> - 2019-09-14 14:41 -0500
Re: Cantor was wrong about cardinality --- APOLOGY Exfalso Quodlibet <exflaso.quodlibet@gmail.com> - 2019-09-14 13:02 -0700
Re: Cantor was wrong about cardinality --- APOLOGY André G. Isaak <agisaak@gm.invalid> - 2019-09-14 14:08 -0600
Re: Cantor was wrong about cardinality --- APOLOGY Fred <Fred@nowhere.invalid> - 2019-09-14 21:18 +0100
Re: Cantor was wrong about cardinality --- APOLOGY André G. Isaak <agisaak@gm.invalid> - 2019-09-14 14:25 -0600
Re: Cantor was wrong about cardinality --- APOLOGY peteolcott <Here@Home> - 2019-09-14 16:03 -0500
Re: Cantor was wrong about cardinality --- APOLOGY Fred <Fred@nowhere.invalid> - 2019-09-14 22:19 +0100
Re: Cantor was wrong about cardinality --- APOLOGY peteolcott <Here@Home> - 2019-09-14 15:45 -0500
Re: Cantor was wrong about cardinality --- APOLOGY Fred <Fred@nowhere.invalid> - 2019-09-14 21:55 +0100
Re: Cantor was wrong about cardinality --- APOLOGY peteolcott <Here@Home> - 2019-09-14 16:06 -0500
Re: Cantor was wrong about cardinality --- APOLOGY Fred <Fred@nowhere.invalid> - 2019-09-14 22:20 +0100
Re: Cantor was wrong about cardinality --- APOLOGY Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-15 00:54 +0100
Re: Cantor was wrong about cardinality --- APOLOGY Exfalso Quodlibet <exflaso.quodlibet@gmail.com> - 2019-09-14 14:07 -0700
Re: Cantor was wrong about cardinality --- APOLOGY Fred <Fred@nowhere.invalid> - 2019-09-14 21:14 +0100
Re: Cantor was wrong about cardinality --- APOLOGY peteolcott <Here@Home> - 2019-09-14 16:01 -0500
Re: Cantor was wrong about cardinality --- APOLOGY Fred <Fred@nowhere.invalid> - 2019-09-14 22:17 +0100
Re: Cantor was wrong about cardinality --- APOLOGY Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-15 00:47 +0100
Re: Cantor was wrong about cardinality --- APOLOGY peteolcott <Here@Home> - 2019-09-14 19:24 -0500
Re: Cantor was wrong about cardinality --- APOLOGY Fred <Fred@nowhere.invalid> - 2019-09-15 02:20 +0100
Re: Cantor was wrong about cardinality --- APOLOGY Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-15 02:43 +0100
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-14 21:33 -0500
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-15 04:09 +0100
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-14 22:40 -0500
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? André G. Isaak <agisaak@gm.invalid> - 2019-09-14 22:40 -0600
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Fred <Fred@nowhere.invalid> - 2019-09-15 12:05 +0100
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-15 12:33 +0100
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-16 10:17 -0500
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? André G. Isaak <agisaak@gm.invalid> - 2019-09-16 09:26 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 10:36 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-16 16:50 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-16 16:55 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 10:06 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 11:22 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 10:38 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 11:59 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 11:10 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 13:27 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 12:34 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 14:19 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-16 20:28 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 13:35 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 14:51 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-16 21:02 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 14:15 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 16:18 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 16:00 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Keith Thompson <kst-u@mib.org> - 2019-09-16 15:29 -0700
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 18:14 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Jeff Barnett <jbb@notatt.com> - 2019-09-16 23:34 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-17 08:16 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 14:25 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 16:21 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 16:01 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-17 08:21 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Keith Thompson <kst-u@mib.org> - 2019-09-16 15:46 -0700
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 18:07 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Me <invalid@invalid.de> - 2019-09-17 01:09 +0200
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2019-09-17 02:33 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 20:53 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 21:55 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Keith Thompson <kst-u@mib.org> - 2019-09-16 19:21 -0700
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently André G. Isaak <agisaak@gm.invalid> - 2019-09-16 21:40 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Keith Thompson <kst-u@mib.org> - 2019-09-16 21:38 -0700
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). peteolcott <Here@Home> - 2019-09-17 00:24 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). peteolcott <Here@Home> - 2019-09-17 11:39 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). Fred <Fred@nowhere.invalid> - 2019-09-17 17:55 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2019-09-17 18:38 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). peteolcott <Here@Home> - 2019-09-17 13:17 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). Keith Thompson <kst-u@mib.org> - 2019-09-17 11:13 -0700
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (some concurrence). peteolcott <Here@Home> - 2019-09-17 13:29 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-17 08:36 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (Concurrence) peteolcott <Here@Home> - 2019-09-17 11:20 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (Concurrence) Fred <Fred@nowhere.invalid> - 2019-09-17 17:31 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (Concurrence) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 10:56 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently (Concurrence) André G. Isaak <agisaak@gm.invalid> - 2019-09-17 11:29 -0600
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2019-09-17 18:32 +0100
Re: Cantor was wrong about cardinality --- (Correction) peteolcott <Here@Home> - 2019-09-17 12:49 -0500
Re: Cantor was wrong about cardinality --- (Correction) Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2019-09-17 19:59 +0100
Re: Cantor was wrong about cardinality --- (Correction) peteolcott <Here@Home> - 2019-09-17 14:09 -0500
Re: Cantor was wrong about cardinality --- (Correction) Fred <Fred@nowhere.invalid> - 2019-09-17 20:33 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Keith Thompson <kst-u@mib.org> - 2019-09-17 11:42 -0700
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-17 14:01 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-17 20:29 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-17 17:51 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-18 17:55 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-17 15:58 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-18 04:36 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-17 08:27 +0100
Re: Cantor was wrong about cardinality --- (Mike Terry Concurrence ] peteolcott <Here@Home> - 2019-09-19 11:46 -0500
Re: Cantor was wrong about cardinality --- (Mike Terry Concurrence ] Fred <Fred@nowhere.invalid> - 2019-09-19 18:00 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-17 08:23 +0100
Re: Cantor was wrong about cardinality --- [ Keith Thompson Concurrence ] peteolcott <Here@Home> - 2019-09-19 11:52 -0500
Re: Cantor was wrong about cardinality --- [ Keith Thompson Concurrence ] peteolcott <Here@Home> - 2019-09-19 11:55 -0500
Re: Cantor was wrong about cardinality --- [ Keith Thompson Concurrence ] Fred <Fred@nowhere.invalid> - 2019-09-19 18:09 +0100
Re: Cantor was wrong about cardinality --- [ Keith Thompson Concurrence ] Fred <Fred@nowhere.invalid> - 2019-09-19 18:22 +0100
Re: Cantor was wrong about cardinality --- [ Keith Thompson Concurrence ] Keith Thompson <kst-u@mib.org> - 2019-09-19 14:44 -0700
Re: Cantor was wrong about cardinality --- [ Keith Thompson Concurrence ] peteolcott <Here@Home> - 2019-09-19 17:31 -0500
Re: Cantor was wrong about cardinality --- [ Keith Thompson Concurrence ] Fred <Fred@nowhere.invalid> - 2019-09-20 14:11 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-16 19:47 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-16 18:16 +0100
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently peteolcott <Here@Home> - 2019-09-16 11:02 -0500
Re: Cantor was wrong about cardinality --- Reals are defined inconsistently Fred <Fred@nowhere.invalid> - 2019-09-16 18:08 +0100
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-17 01:49 +0100
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-16 20:01 -0500
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-17 03:25 +0100
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-16 22:39 -0500
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-17 14:26 +0100
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-17 11:55 -0500
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Python <python@invalid> - 2019-09-17 18:59 +0200
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-18 04:01 +0100
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-17 22:23 -0500
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-18 05:19 +0100
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Keith Thompson <kst-u@mib.org> - 2019-09-18 01:39 -0700
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-18 09:59 -0500
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? André G. Isaak <agisaak@gm.invalid> - 2019-09-18 09:21 -0600
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-18 10:41 -0500
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Keith Thompson <kst-u@mib.org> - 2019-09-18 13:55 -0700
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? peteolcott <Here@Home> - 2019-09-18 16:17 -0500
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Fred <Fred@nowhere.invalid> - 2019-09-18 23:09 +0100
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Fred <Fred@nowhere.invalid> - 2019-09-18 23:02 +0100
Re: Cantor was wrong about cardinality --- [ CONCURRENCE ] peteolcott <Here@Home> - 2019-09-18 11:10 -0500
Re: Cantor was wrong about cardinality --- APOLOGY clear yet? Fred <Fred@nowhere.invalid> - 2019-09-18 18:39 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-12 12:15 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-12 10:37 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-12 16:56 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 00:27 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-13 16:43 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 11:51 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-13 18:12 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-12 09:05 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-12 10:49 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-12 10:02 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 00:18 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-12 23:24 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 10:01 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 09:13 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 09:56 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 11:40 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 11:03 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 12:48 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 12:25 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 22:35 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-14 16:42 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-14 22:54 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 11:28 -0500
Re: Cantor was wrong about cardinality --- COMPLETE peteolcott <Here@Home> - 2019-09-14 11:34 -0500
Re: Cantor was wrong about cardinality --- COMPLETE Fred <Fred@nowhere.invalid> - 2019-09-14 18:05 +0100
Re: Cantor was wrong about cardinality --- COMPLETE (Andy Goofed) peteolcott <Here@Home> - 2019-09-14 18:00 -0500
Re: Cantor was wrong about cardinality --- COMPLETE (Andy Goofed) Fred <Fred@nowhere.invalid> - 2019-09-15 02:04 +0100
Re: Cantor was wrong about cardinality --- COMPLETE (Andy really did Goof) peteolcott <Here@Home> - 2019-09-16 09:42 -0500
Re: Cantor was wrong about cardinality --- COMPLETE (Andy really did Goof) André G. Isaak <agisaak@gm.invalid> - 2019-09-16 09:13 -0600
Re: Cantor was wrong about cardinality --- COMPLETE (Andy really did Goof) Fred <Fred@nowhere.invalid> - 2019-09-16 16:15 +0100
Re: Cantor was wrong about cardinality --- COMPLETE Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-15 01:26 +0100
Re: Cantor was wrong about cardinality --- COMPLETE peteolcott <Here@Home> - 2019-09-14 19:32 -0500
Re: Cantor was wrong about cardinality --- COMPLETE peteolcott <Here@Home> - 2019-09-14 19:36 -0500
Re: Cantor was wrong about cardinality --- COMPLETE Fred <Fred@nowhere.invalid> - 2019-09-15 02:26 +0100
Re: Cantor was wrong about cardinality --- COMPLETE Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-15 02:54 +0100
Re: Cantor was wrong about cardinality --- COMPLETE peteolcott <Here@Home> - 2019-09-14 21:38 -0500
Re: Cantor was wrong about cardinality --- COMPLETE Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-15 04:14 +0100
Re: Cantor was wrong about cardinality --- COMPLETE peteolcott <Here@Home> - 2019-09-14 22:45 -0500
Re: Cantor was wrong about cardinality --- COMPLETE Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-15 12:53 +0100
Re: Cantor was wrong about cardinality --- COMPLETE peteolcott <Here@Home> - 2019-09-16 10:21 -0500
Re: Cantor was wrong about cardinality --- COMPLETE Fred <Fred@nowhere.invalid> - 2019-09-16 16:27 +0100
Re: Cantor was wrong about cardinality --- COMPLETE Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-17 00:35 +0100
Re: Cantor was wrong about cardinality --- COMPLETE Fred <Fred@nowhere.invalid> - 2019-09-15 11:53 +0100
Re: Cantor was wrong about cardinality --- COMPLETE Fred <Fred@nowhere.invalid> - 2019-09-15 02:22 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-12 17:04 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 00:10 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-12 23:16 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 10:09 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 09:41 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 11:36 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 11:14 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 13:03 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-13 19:08 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-13 12:34 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-14 16:38 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-14 22:49 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) André G. Isaak <agisaak@gm.invalid> - 2019-09-14 22:00 -0600
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-13 16:45 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-13 16:57 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-13 11:55 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-14 02:30 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-14 00:53 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) BEN LIED !!! peteolcott <Here@Home> - 2019-09-14 00:55 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) BEN LIED !!! peteolcott <Here@Home> - 2019-09-17 11:33 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2019-09-14 17:14 +0100
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) George Greene <greeneg@email.unc.edu> - 2019-09-14 18:24 -0700
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) peteolcott <Here@Home> - 2019-09-14 21:25 -0500
Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Fred <Fred@nowhere.invalid> - 2019-09-15 11:50 +0100
Re: Provably unprovable eliminates incompleteness (cardinality is incorrect) George Greene <greeneg@email.unc.edu> - 2019-09-11 20:55 -0700
Re: Provably unprovable eliminates incompleteness (cardinality is incorrect) peteolcott <Here@Home> - 2019-09-11 23:15 -0500
Page 7 of 17 — ← Prev page 1 … 5 6 [7] 8 9 … 17 Next page →
| From | Fred <Fred@nowhere.invalid> |
|---|---|
| Date | 2019-09-13 16:38 +0100 |
| Subject | Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Deceptive Strawman by Ben |
| Message-ID | <qlgd6d$rhv$1@news.albasani.net> |
| In reply to | #210585 |
On 13/09/2019 03:39, peteolcott wrote:
> On 9/12/2019 9:11 PM, David Kleinecke wrote:
>> On Thursday, September 12, 2019 at 7:00:09 PM UTC-7, peteolcott wrote:
>>>
>>> The first point in this interval: (0.0, 1.0] very obviously
>>> comes immediately after the first point in this interval: [0.0, 1.0].
>> But there is no first point in the half-open interval
>> (0.0, 1.0]
>>
>
> THAT IS TOTALLY INCORRECT
> IT SPECIFIES A LINE SEGMENT OF EXACTLY 1.0 LENGTH.
>
> encyclopediaofmath.org/index.php/Interval_and_segment
>
> Interval and segment
> The simplest sets of points on the line. An interval (open interval)
> is a set of points on a line lying between two fixed points and ,
> where and themselves are considered not to belong to the interval.
>
> (0.0, 1.0] specifies the point immediately adjacent to 0.0
> and the point 1.0.
No, (0.0, 1.0] =df {x:0.0 < x <= 1.0}
>
> [0.0, 1.0] specifies a line segment that is exactly one geometric
> point longer than 1.0.
No, [0.0, 1.0] =df {x:0.0 <= x <= 1.0}
>
> (0.0, ∞] specifies all of the positive numbers.
No, all the positive numbers is (0.0, ∞).
> [-∞, 0.0) specifies all of the negative numbers.
No, all the negative numbers is (-∞, 0.0).
>
>
[toc] | [prev] | [next] | [standalone]
| From | peteolcott <Here@Home> |
|---|---|
| Date | 2019-09-13 11:48 -0500 |
| Subject | Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Deceptive Strawman by Ben |
| Message-ID | <o96dnXexb6XwVebAnZ2dnUU7-VXNnZ2d@giganews.com> |
| In reply to | #210611 |
On 9/13/2019 10:38 AM, Fred wrote:
> On 13/09/2019 03:39, peteolcott wrote:
>> On 9/12/2019 9:11 PM, David Kleinecke wrote:
>>> On Thursday, September 12, 2019 at 7:00:09 PM UTC-7, peteolcott wrote:
>>>>
>>>> The first point in this interval: (0.0, 1.0] very obviously
>>>> comes immediately after the first point in this interval: [0.0, 1.0].
>>> But there is no first point in the half-open interval
>>> (0.0, 1.0]
>>>
>>
>> THAT IS TOTALLY INCORRECT
>> IT SPECIFIES A LINE SEGMENT OF EXACTLY 1.0 LENGTH.
>>
>> encyclopediaofmath.org/index.php/Interval_and_segment
>>
>> Interval and segment
>> The simplest sets of points on the line. An interval (open interval)
>> is a set of points on a line lying between two fixed points and ,
>> where and themselves are considered not to belong to the interval.
>>
>> (0.0, 1.0] specifies the point immediately adjacent to 0.0
>> and the point 1.0.
>
> No, (0.0, 1.0] =df {x:0.0 < x <= 1.0}
>
It is like I said cats are animals and you said no cats are not animals they are living things.
The above sequence of points defines a line segment with two endpoints.
It may have never been thought of that way before because there was
no way to uniquely identify the left endpoint and the limits of the
expressiveness of language limit what can be conceived.
Now with my new infinitesimal number system copyright 2018, 2019 that
point can be identified as: 0.0[1], so we can understand that a line
segment with two endpoints does exist.
>>
>> [0.0, 1.0] specifies a line segment that is exactly one geometric
>> point longer than 1.0.
>
> No, [0.0, 1.0] =df {x:0.0 <= x <= 1.0}
>>
>> (0.0, ∞] specifies all of the positive numbers.
>
> No, all the positive numbers is (0.0, ∞).
>
>> [-∞, 0.0) specifies all of the negative numbers.
>
> No, all the negative numbers is (-∞, 0.0).
>>
>>
>
--
Copyright 2019 Pete Olcott All rights reserved
"Great spirits have always encountered violent
opposition from mediocre minds." Albert Einstein
[toc] | [prev] | [next] | [standalone]
| From | Fred <Fred@nowhere.invalid> |
|---|---|
| Date | 2019-09-13 17:54 +0100 |
| Subject | Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) Deceptive Strawman by Ben |
| Message-ID | <qlghkq$grf$1@news.albasani.net> |
| In reply to | #210627 |
On 13/09/2019 17:48, peteolcott wrote:
> On 9/13/2019 10:38 AM, Fred wrote:
>> On 13/09/2019 03:39, peteolcott wrote:
>>> On 9/12/2019 9:11 PM, David Kleinecke wrote:
>>>> On Thursday, September 12, 2019 at 7:00:09 PM UTC-7, peteolcott wrote:
>>>>>
>>>>> The first point in this interval: (0.0, 1.0] very obviously
>>>>> comes immediately after the first point in this interval: [0.0, 1.0].
>>>> But there is no first point in the half-open interval
>>>> (0.0, 1.0]
>>>>
>>>
>>> THAT IS TOTALLY INCORRECT
>>> IT SPECIFIES A LINE SEGMENT OF EXACTLY 1.0 LENGTH.
>>>
>>> encyclopediaofmath.org/index.php/Interval_and_segment
>>>
>>> Interval and segment
>>> The simplest sets of points on the line. An interval (open interval)
>>> is a set of points on a line lying between two fixed points and ,
>>> where and themselves are considered not to belong to the interval.
>>>
>>> (0.0, 1.0] specifies the point immediately adjacent to 0.0
>>> and the point 1.0.
>>
>> No, (0.0, 1.0] =df {x:0.0 < x <= 1.0}
>>
>
> It is like I said cats are animals and you said no cats are not animals
> they are living things.
> The above sequence of points defines a line segment with two endpoints.
>
> It may have never been thought of that way before because there was
> no way to uniquely identify the left endpoint and the limits of the
> expressiveness of language limit what can be conceived.
>
> Now with my new infinitesimal number system copyright 2018, 2019 that
> point can be identified as: 0.0[1], so we can understand that a line
> segment with two endpoints does exist.
Line segments with two endpoints are denoted [a,b] which is defined to
be {x:a<=x<=b}. So "we" already understand such a thing.
>
>>>
>>> [0.0, 1.0] specifies a line segment that is exactly one geometric
>>> point longer than 1.0.
>>
>> No, [0.0, 1.0] =df {x:0.0 <= x <= 1.0}
>>>
>>> (0.0, ∞] specifies all of the positive numbers.
>>
>> No, all the positive numbers is (0.0, ∞).
>>
>>> [-∞, 0.0) specifies all of the negative numbers.
>>
>> No, all the negative numbers is (-∞, 0.0).
>>>
>>>
>>
>
>
[toc] | [prev] | [next] | [standalone]
| From | peteolcott <Here@Home> |
|---|---|
| Date | 2019-09-14 00:51 -0500 |
| Subject | Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) |
| Message-ID | <lIidnek9Mph54uHAnZ2dnUU7-VudnZ2d@giganews.com> |
| In reply to | #210584 |
On 9/12/2019 8:00 PM, Ben Bacarisse wrote:
> peteolcott <Here@Home> writes:
>
>> On 9/12/2019 10:33 AM, Ben Bacarisse wrote:
>>> peteolcott <Here@Home> writes:
>>>>>>> peteolcott <Here@Home> writes:
>>>>>>>>> peteolcott <Here@Home> writes:
>>> <cut>
>>>>>>>>>> Now I have to correct my prior reasoning. All of the geometric points on
>>>>>>>>>> the number line correspond to all of the numbers that exist. Some of these
>>>>>>>>>> are not real numbers.
>>>>>>>>>>
>>>>>>>>>> Since we can count all of these numbers with integers using the
>>>>>>>>>> infinitesimal number system we have proven that the set of real
>>>>>>>>>> numbers is not larger than the set of integers.
>>> <cut>
>>>>>>>>>> Real_Part[Infinitesimal_Offset]
>>>>>>>>>>
>>>>>>>>>> 0.0[1 to ∞] forms a bijection between the positive integers and all of
>>>>>>>>>> the positive numbers through all of the positive points on the number
>>>>>>>>>> line.
>>> <cut>
>>>>>>>> (1) Do you understand that all of the points on a number line are all
>>>>>>>> of the numbers?
>>>>>>>>
>>>>>>>> (2) Do you understand that a bijection between the integers and these
>>>>>>>> points would make these points countable?
>>> <cut>
>>>> I will answer any good faith questions in good faith.
>>>
>>> Oh, good. Here are a few questions to clarify what you mean.
>>>
>>> Q1. Did you mean to exclude a zero infinitesimal offset?
>>>
>> No.
>>
>>> Q1a: If you did mean to exclude r[0], do you write the point at, say,
>>> exactly 1 as 1.0 with no [...] part?
>>>
>>> Q1b: Again, if so, would you mind writing that as 1[0] to give all
>>> points the same form?
>>
>> 1[0] is the same as 1.
>>>
>>> Q2. What numbers can go in the "Real_Part"? All the examples you have
>>> given use a "whole number". Can it be any real as the name
>>> implies?
>>
>> Any identifiable number can go into the "real" part.
>
> That's unfortunately unclear. What you mean by "identifiable number"
> needs to be clarified. I have a guess, but that's no way to proceed.
>
> My guess: lbh zrna nal ahzore gung pna or jevggra qbja va fbzr svavgr
> sbez yvxr "7.1" naq "fdeg(2)". Vs fb, gur frg bs CB-trbzrgevp cbvagf vf
> vaqrrq pbhagnoyr.
>
>> π[1] is one geometric point to the right of π.
>
>>> Q3. Given two arbitrary points r1[i1] and r2[i2], is r1[i1] = r2[i2] if
>>> and only if r1 = r2 and i1 = i2?
>>>
>> I think so. I can't see any exception right now.
>
>>> Q4. You say
>>>
>>> "0.0[1 to ∞] forms a bijection between the positive integers and
>>> all of the positive numbers through all of the positive points on
>>> the number line"
>>>
>>> What n makes 0.0[n] equal to the point I would call 1?
>> There is no bijection there.
>
> Hm... that is not a use of words that makes sense. But Q4 is answered
> by your answer to Q3: there is no n that makes 0[n] equal to 1[0]. Can
> you confirm this?
>
> The text I quote in Q4 speaks of a bijection but in terms that are
> non-standard. (It's the "through" in "a bijection between X and Y
> though Z" that is odd.) Can you state, clearly, what sets are in
> bijection? Both "the positive numbers" and "the positive points on the
> number line" are ambiguous terms. The only clear set is first: { 0[n] |
> n ∈ Z+ }.
>
>>> Q5. If all the points on the number line can written in the form 0.0[n]
>>> for some n, what is the point of having your "Real_Part"?
>> To identify it as an infinitesimal number of the infinitesimal number system.
>
> This seems like an odd reply because your answer to Q3 says that one
> can't write 1[0] as some offset from 0, so you should be rejecting the
> premise of my question. And, because there is no n for which 0[n] =
> 1[0], different "Real_Part"s are essential simply to be able to write
> all the points.
>
>> To specifically label the base part of the base/offset because there is
>> no bijection between reals and infinitesimals having an offset.
>
> Again, can you state clearly what two sets do /not/ biject? One is
> clear: it's just R, yes?, but what "infinitesimals having an offset" are
> is not, in part because Q2 is not yet answered.
>
>>> Q6. If, say, 0.0[23] and 0.0[24] are both points on the number line,
>>> how do you represent the point half way between them?
>> As you already know this is defined as non existent.
>> There is no one half of infinitesimal.
>
> I thought you were questioning Cantor's results about the continuum?
> The continuum has the property that between every two points, there are
> infinitely many more points. If your points are a subset of the
> continuum, they may very well be countable, but no one will care about
> them.
>
>>> Q7. One can compare and do arithmetic with real numbers. Are any of
>>> the usual relations and/or operations defined for yours? If so,
>>> how are these defined:
>>>
>>> Q7a. r1[i1] < r2[i2] ?
>>> Q7b. r1[i1] + r2[i2] ?
>>> Q7c. r1[i1] - r2[i2] ?
>>> Q7d. r1[i1] * r2[i2] ?
>>> Q7e. r1[i1] / r2[i2] ?
>>>
>>> (I covered r1[i1] = r2[i2] in Q3.)
>>
>> I laid this all out previously.
>
> Where did you define r1[i1] < r2[i2]? I did not see it. In fact I did
> not see the definitions of any of these. Just cut and paste the
> definitions so they are all on one place.
>
>> There is no bijection between reals and infinitesimals having an
>> offset. Single infinitesimal quantities are indivisible.
>>
>> Relations and operations between infinitesimals
>> generally operate on their base part and offset part separately.
>
> Can you give the definitions, please?
>
>> Likewise with mixed type relations and operations.
>
> What are mixed type relations and operations? The obvious meaning
> (operations between your point and other numbers) makes no sense because
> of the "likewise".
>
>>>> It really seems to me that your good faith answer to my
>>>> above questions would necessarily prove that I am correct.
>>>
>>> But your (1) and (2) combine to make a hypothetical. The answers can't
>>> prove anything, so my answering them would be as pointless and your
>>> asking them. Sure, if there /were/ a bijection between all the points
>>> and the integers, they (all the points) would be countable. However,
>>> either your points are not all the points, or there is not a bijection
>>> between your points and the integers.
>>
>> It seems that I did specify a notational system that does form a
>> bijection between integers and the set of points on a number line.
>
> Answering my follow-up questions will clarify what sets do and do not
> biject.
>
>> The common notational convention used for intervals make it clear
>> that the key notion of my system: [immediately adjacent points on
>> a number line] do exist, and can be uniquely identified.
>
> No. The common notational convention used for intervals shows that
> adjacent points do not exist. While [0, 1] has a least member, (0, 1]
> does not. You can remove the first number in [0, 1] to get (0, 1] but
> you can't remove the first and second.
>
https://en.wikipedia.org/wiki/Straw_man
Intentional deceptive straw_man WHY LIE? Does lying give you kicks?
IT IS CLEAR THAT I HAVE BEEN ALWAYS USING REAL ENDPOINTS.
YOUR SWITCH TO INTEGERS IS PRETTY DAMN STUPID.
DID YOU THINK YOU WOULD GET AWAY WITH THAT?
The first point in this interval: (0.0, 1.0] very obviously
comes immediately after the first point in this interval: [0.0, 1.0].
--
Copyright 2019 Pete Olcott All rights reserved
"Great spirits have always encountered violent
opposition from mediocre minds." Albert Einstein
[toc] | [prev] | [next] | [standalone]
| From | Ben Bacarisse <ben.usenet@bsb.me.uk> |
|---|---|
| Date | 2019-09-14 17:23 +0100 |
| Subject | Re: Provably unprovable eliminates incompleteness (Cantor was wrong about cardinality) |
| Message-ID | <878sqqhmo3.fsf@bsb.me.uk> |
| In reply to | #210658 |
peteolcott <Here@Home> writes: > On 9/12/2019 8:00 PM, Ben Bacarisse wrote: <cut loads of stuff you appear to be ignoring...> >>> The common notational convention used for intervals make it clear >>> that the key notion of my system: [immediately adjacent points on >>> a number line] do exist, and can be uniquely identified. >> >> No. The common notational convention used for intervals shows that >> adjacent points do not exist. While [0, 1] has a least member, (0, 1] >> does not. You can remove the first number in [0, 1] to get (0, 1] but >> you can't remove the first and second. > > > https://en.wikipedia.org/wiki/Straw_man > Intentional deceptive straw_man WHY LIE? Does lying give you kicks? Adjacent points may exist in your made-up number line, but the notation for intervals does not "make it clear". In fact, it makes the opposite clear. It is not a straw man. > IT IS CLEAR THAT I HAVE BEEN ALWAYS USING REAL ENDPOINTS. As did I when I pointed out that adjacent points do not exist. > YOUR SWITCH TO INTEGERS IS PRETTY DAMN STUPID. > DID YOU THINK YOU WOULD GET AWAY WITH THAT? This is not C++. The real interval you write as (0.0, 1.0] is written by mathematicians as (0, 1]. I'm, not going to break this habit because you think 1 is an integer and 1.0 is a real. What's more, you are quite happy to see it that way. You wrote "the first point in the interval: (3,4]" a few posts ago, and the Wiki article you quoted does it in all cases of real intervals. I won't call this lying because it's due to ignorance and a bad memory. (Even in computer languages you can't rely on the syntax to know the type of the value. You probably don't know enough languages to have come across such things as polymorphic literals.) > The first point in this interval: (0.0, 1.0] very obviously > comes immediately after the first point in this interval: [0.0, 1.0]. There is no first point in the interval (0, 1] and that does not change if you write (0.0, 1.0] or (0.000. 1.000] because they all mean the same thing. (There are a lot of things that are false that you think are obviously true.) -- Ben.
[toc] | [prev] | [next] | [standalone]
| From | peteolcott <Here@Home> |
|---|---|
| Date | 2019-09-14 13:09 -0500 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <xOKdncFYveV4seDAnZ2dnUU7-UPNnZ2d@giganews.com> |
| In reply to | #210670 |
On 9/14/2019 11:23 AM, Ben Bacarisse wrote: > peteolcott <Here@Home> writes: > >> On 9/12/2019 8:00 PM, Ben Bacarisse wrote: > <cut loads of stuff you appear to be ignoring...> > >>>> The common notational convention used for intervals make it clear >>>> that the key notion of my system: [immediately adjacent points on >>>> a number line] do exist, and can be uniquely identified. >>> >>> No. The common notational convention used for intervals shows that >>> adjacent points do not exist. While [0, 1] has a least member, (0, 1] >>> does not. When qualified that 0, and 1 refer to real numbers your statement that there are zero real numbers (or points on a number line) between 0 and 1 is ridiculous. > You can remove the first number in [0, 1] to get (0, 1] but >>> you can't remove the first and second. >> >> >> https://en.wikipedia.org/wiki/Straw_man >> Intentional deceptive straw_man WHY LIE? Does lying give you kicks? > > Adjacent points may exist in your made-up number line, but the notation > for intervals does not "make it clear". In fact, it makes the opposite > clear. It is not a straw man. > >> IT IS CLEAR THAT I HAVE BEEN ALWAYS USING REAL ENDPOINTS. > > As did I when I pointed out that adjacent points do not exist. > >> YOUR SWITCH TO INTEGERS IS PRETTY DAMN STUPID. >> DID YOU THINK YOU WOULD GET AWAY WITH THAT? > > This is not C++. The real interval you write as (0.0, 1.0] is written > by mathematicians as (0, 1]. I'm, not going to break this habit because > you think 1 is an integer and 1.0 is a real. > It took me a long time to cut-and-paste this because all of the variables and symbols were images rather than Unicode: https://www.encyclopediaofmath.org/index.php/Interval_and_segment Interval and segment The simplest sets of points on the line. An interval (open interval) is a set of points on a line lying between two fixed points A and B, where A and B themselves are considered not to belong to the interval. A segment (closed interval) is a set of points between two points A and B, where A and B are included. The terms "interval" and "segment" are also used for the corresponding sets of real numbers: an interval consists of numbers satisfying a < x < b, while a segment consists of those x for which a ≤ x ≤ b. An interval is denoted by (a, b), or ], and a segment by [a, b]. > What's more, you are quite happy to see it that way. You wrote "the > first point in the interval: (3,4]" a few posts ago, and the Wiki > article you quoted does it in all cases of real intervals. I won't call > this lying because it's due to ignorance and a bad memory. > > (Even in computer languages you can't rely on the syntax to know the > type of the value. You probably don't know enough languages to have > come across such things as polymorphic literals.) > >> The first point in this interval: (0.0, 1.0] very obviously >> comes immediately after the first point in this interval: [0.0, 1.0]. > > There is no first point in the interval (0, 1] and that does not change > if you write (0.0, 1.0] or (0.000. 1.000] because they all mean the same > thing. (There are a lot of things that are false that you think are > obviously true.) > I READ YOUR WORDS INCORRECTLY, SORRY !!! I HAD TO READ THEM FIVE TIMES TO GET WHAT YOU ARE REALLY SAYING. I THOUGHT THAT YOU WERE SAYING (0, 1] HAS ZERO ELEMENTS. On 9/12/2019 8:00 PM, Ben Bacarisse wrote: > No. The common notational convention used for intervals shows that > adjacent points do not exist. While [0, 1] has a least member, (0, 1] > does not. You can remove the first number in [0, 1] to get (0, 1] but > you can't remove the first and second. > If we have a sequence of points [0.0, 1.0] on a number line and we remove the first point (0.0, 1.0] then it is obvious that this second sequence is exactly one geometric point shorter than the first sequence. The difference in length is that we removed the 1.0 point from the first sequence leaving only the point that it was immediately adjacent to. If we try to remove the next geometric point from the beginning of this sequence we cannot only because there are no notational conventions to say this. Some famous philosopher said that language limits thought. Since we just proved that adjacent geometric points exist, then by induction there is always a next adjacent geometric point on the number line. -- Copyright 2019 Pete Olcott All rights reserved "Great spirits have always encountered violent opposition from mediocre minds." Albert Einstein
[toc] | [prev] | [next] | [standalone]
| From | Fred <Fred@nowhere.invalid> |
|---|---|
| Date | 2019-09-14 19:28 +0100 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <qljbfl$9ou$1@news.albasani.net> |
| In reply to | #210677 |
On 14/09/2019 19:09, peteolcott wrote:
> If we have a sequence of points [0.0, 1.0] on a number line and we remove
A sequence is a collection of elements indexed by the natural numbers
(an infinite sequence) or a finite subset of the natural numbers (a
finite sequence). The points in [0,1] =def {x:0<=x<=1} (which is the
same as [0.0, 1.0] whether you like it or not) do not constitute a sequence.
> the first point (0.0, 1.0] then it is obvious that this second sequence is
> exactly one geometric point shorter than the first sequence.
>
> The difference in length is that we removed the 1.0 point from the first
> sequence leaving only the point that it was immediately adjacent to.
Among the real numbers there is no adjacency. If x < z, then there is a
y such that x < y and y < z. That is obviously so: take y to be (z - x)/2.
> If we try to remove the next geometric point from the beginning of this
> sequence we cannot only because there are no notational conventions to
> say this. Some famous philosopher said that language limits thought.
>
> Since we just proved that adjacent geometric points exist, then by
I don't know about "we", but I just showed that they don't. Others have
made the same observation.
> induction there is always a next adjacent geometric point on the number
> line.
>
[toc] | [prev] | [next] | [standalone]
| From | Fred <Fred@nowhere.invalid> |
|---|---|
| Date | 2019-09-14 19:33 +0100 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <qljbpn$7vj$1@news.albasani.net> |
| In reply to | #210677 |
On 14/09/2019 19:09, peteolcott wrote: > It took me a long time to cut-and-paste this because all of the variables > and symbols were images rather than Unicode: Spend as much time reading and comprehending as you do cutting and pasting, and you might gain some understanding. It's still wrong so your time was wasted. > https://www.encyclopediaofmath.org/index.php/Interval_and_segment > Interval and segment > The simplest sets of points on the line. An interval (open interval) is > a set of points on a line lying between two fixed > points A and B, where A and B themselves are considered not to belong to > the interval. A segment (closed interval) is > a set of points between two points A and B, where A and B are included. > The terms "interval" and "segment" are also > used for the corresponding sets of real numbers: an interval consists of > numbers satisfying a < x < b, while a > segment consists of those x for which a ≤ x ≤ b. An interval is denoted > by (a, b), or ], and a segment by [a, b]. "or ]" makes no sense. Anyway, all of (a,b), (a,b], [a,b) and [a,b] are intervals.
[toc] | [prev] | [next] | [standalone]
| From | peteolcott <Here@Home> |
|---|---|
| Date | 2019-09-14 14:27 -0500 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <XYGdnZcJQO2zouDAnZ2dnUU7-LGdnZ2d@giganews.com> |
| In reply to | #210680 |
On 9/14/2019 1:33 PM, Fred wrote: > On 14/09/2019 19:09, peteolcott wrote: > >> It took me a long time to cut-and-paste this because all of the variables >> and symbols were images rather than Unicode: > > Spend as much time reading and comprehending as you do cutting and pasting, and you might gain some understanding. It's still wrong so your time was wasted. > >> https://www.encyclopediaofmath.org/index.php/Interval_and_segment >> Interval and segment >> The simplest sets of points on the line. An interval (open interval) is a set of points on a line lying between two fixed >> points A and B, where A and B themselves are considered not to belong to the interval. A segment (closed interval) is >> a set of points between two points A and B, where A and B are included. The terms "interval" and "segment" are also >> used for the corresponding sets of real numbers: an interval consists of numbers satisfying a < x < b, while a >> segment consists of those x for which a ≤ x ≤ b. An interval is denoted by (a, b), or ], and a segment by [a, b]. > > "or ]" makes no sense. > > Anyway, all of (a,b), (a,b], [a,b) and [a,b] are intervals. > > > The first one is exactly one geometric point shorter than the second one. -- Copyright 2019 Pete Olcott All rights reserved "Great spirits have always encountered violent opposition from mediocre minds." Albert Einstein
[toc] | [prev] | [next] | [standalone]
| From | Fred <Fred@nowhere.invalid> |
|---|---|
| Date | 2019-09-14 20:30 +0100 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <qljf52$299$1@news.albasani.net> |
| In reply to | #210684 |
On 14/09/2019 20:27, peteolcott wrote: > On 9/14/2019 1:33 PM, Fred wrote: >> On 14/09/2019 19:09, peteolcott wrote: >> >>> It took me a long time to cut-and-paste this because all of the >>> variables >>> and symbols were images rather than Unicode: >> >> Spend as much time reading and comprehending as you do cutting and >> pasting, and you might gain some understanding. It's still wrong so >> your time was wasted. >> >>> https://www.encyclopediaofmath.org/index.php/Interval_and_segment >>> Interval and segment >>> The simplest sets of points on the line. An interval (open interval) >>> is a set of points on a line lying between two fixed >>> points A and B, where A and B themselves are considered not to belong >>> to the interval. A segment (closed interval) is >>> a set of points between two points A and B, where A and B are >>> included. The terms "interval" and "segment" are also >>> used for the corresponding sets of real numbers: an interval consists >>> of numbers satisfying a < x < b, while a >>> segment consists of those x for which a ≤ x ≤ b. An interval is >>> denoted by (a, b), or ], and a segment by [a, b]. >> >> "or ]" makes no sense. >> >> Anyway, all of (a,b), (a,b], [a,b) and [a,b] are intervals. >> >> >> > > The first one is exactly one geometric point shorter than the second one. The length of each of them is b - a. The length of a single point is 0. I can see why you didn't pass Calc II.
[toc] | [prev] | [next] | [standalone]
| From | peteolcott <Here@Home> |
|---|---|
| Date | 2019-09-14 14:41 -0500 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <8a-dnYGpCZXX3-DAnZ2dnUU7-YfNnZ2d@giganews.com> |
| In reply to | #210687 |
On 9/14/2019 2:30 PM, Fred wrote: > On 14/09/2019 20:27, peteolcott wrote: >> On 9/14/2019 1:33 PM, Fred wrote: >>> On 14/09/2019 19:09, peteolcott wrote: >>> >>>> It took me a long time to cut-and-paste this because all of the variables >>>> and symbols were images rather than Unicode: >>> >>> Spend as much time reading and comprehending as you do cutting and pasting, and you might gain some understanding. It's still wrong so your time was wasted. >>> >>>> https://www.encyclopediaofmath.org/index.php/Interval_and_segment >>>> Interval and segment >>>> The simplest sets of points on the line. An interval (open interval) is a set of points on a line lying between two fixed >>>> points A and B, where A and B themselves are considered not to belong to the interval. A segment (closed interval) is >>>> a set of points between two points A and B, where A and B are included. The terms "interval" and "segment" are also >>>> used for the corresponding sets of real numbers: an interval consists of numbers satisfying a < x < b, while a >>>> segment consists of those x for which a ≤ x ≤ b. An interval is denoted by (a, b), or ], and a segment by [a, b]. >>> >>> "or ]" makes no sense. >>> >>> Anyway, all of (a,b), (a,b], [a,b) and [a,b] are intervals. >>> >>> >>> >> >> The first one is exactly one geometric point shorter than the second one. > > The length of each of them is b - a. The length of a single point is 0. > If the length of a single geometric point was actually zero then the length of every interval would also be zero because 0 * ∞ = 0, therefore the length of a single point on a number line is NOT zero. -- Copyright 2019 Pete Olcott All rights reserved "Great spirits have always encountered violent opposition from mediocre minds." Albert Einstein
[toc] | [prev] | [next] | [standalone]
| From | Exfalso Quodlibet <exflaso.quodlibet@gmail.com> |
|---|---|
| Date | 2019-09-14 13:02 -0700 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <d8dd4e46-7a46-41f3-853e-aa3945e64bef@googlegroups.com> |
| In reply to | #210688 |
On Saturday, September 14, 2019 at 3:41:05 PM UTC-4, peteolcott wrote: > If the length of a single geometric point was actually zero then > the length of every interval would also be zero because 0 * ∞ = 0, You have apparently decided to hide from me, so you probably won't see this, but you're wrong. 0*x = 0 for any real number x, but ∞ is not a real number, so the multiplication here isn't guaranteed to hold. Since ∞ is not a number, we have get to 0*∞ in a different way, using limits. Here, I'll be using "lim" as shorthand for a limit as x approaches ∞. Suppose we have two functions f(x) and g(x), such that lim f(x) = 0 and lim g(x) = ∞. What we want to know is if lim f(x)g(x) always evaluates to 0. If so, then we could reasonably claim that 0*∞ = 0, as shorthand for this limit. So, consider f(x) = 0 and g(x) = x. Then yes, lim f(x)g(x) = 0. But if f(x) = 1/x and g(x) = x, then lim f(x)g(x) = 1. And if f(x) = 1/x and g(x) = x^2, then lim f(x)g(x) = ∞. Indeed, we can make lim f(x)g(x) come out to any real number we want, or to ∞. So 0*∞ does not in fact have a single answer. It's certainly not guaranteed to always and only be equal to 0. EFQ
[toc] | [prev] | [next] | [standalone]
| From | André G. Isaak <agisaak@gm.invalid> |
|---|---|
| Date | 2019-09-14 14:08 -0600 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <qljhcf$16p$1@dont-email.me> |
| In reply to | #210688 |
On 2019-09-14 1:41 p.m., peteolcott wrote: > On 9/14/2019 2:30 PM, Fred wrote: >> On 14/09/2019 20:27, peteolcott wrote: >>> On 9/14/2019 1:33 PM, Fred wrote: >>>> On 14/09/2019 19:09, peteolcott wrote: >>>> >>>>> It took me a long time to cut-and-paste this because all of the >>>>> variables >>>>> and symbols were images rather than Unicode: >>>> >>>> Spend as much time reading and comprehending as you do cutting and >>>> pasting, and you might gain some understanding. It's still wrong so >>>> your time was wasted. >>>> >>>>> https://www.encyclopediaofmath.org/index.php/Interval_and_segment >>>>> Interval and segment >>>>> The simplest sets of points on the line. An interval (open >>>>> interval) is a set of points on a line lying between two fixed >>>>> points A and B, where A and B themselves are considered not to >>>>> belong to the interval. A segment (closed interval) is >>>>> a set of points between two points A and B, where A and B are >>>>> included. The terms "interval" and "segment" are also >>>>> used for the corresponding sets of real numbers: an interval >>>>> consists of numbers satisfying a < x < b, while a >>>>> segment consists of those x for which a ≤ x ≤ b. An interval is >>>>> denoted by (a, b), or ], and a segment by [a, b]. >>>> >>>> "or ]" makes no sense. >>>> >>>> Anyway, all of (a,b), (a,b], [a,b) and [a,b] are intervals. >>>> >>>> >>>> >>> >>> The first one is exactly one geometric point shorter than the second >>> one. >> >> The length of each of them is b - a. The length of a single point is 0. >> > > If the length of a single geometric point was actually zero then > the length of every interval would also be zero because 0 * ∞ = 0, ∞ is not a number. You can't perform arithmetic on it. > therefore the length of a single point on a number line is NOT zero. A point, by definition, is dimensionless. It has no size. The number of points in any (non-empty) real interval is exactly the same (2^ℵ_0). André -- To email remove 'invalid' & replace 'gm' with well known Google mail service.
[toc] | [prev] | [next] | [standalone]
| From | Fred <Fred@nowhere.invalid> |
|---|---|
| Date | 2019-09-14 21:18 +0100 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <qljhv4$qtl$2@news.albasani.net> |
| In reply to | #210693 |
On 14/09/2019 21:08, André G. Isaak wrote: > On 2019-09-14 1:41 p.m., peteolcott wrote: >> On 9/14/2019 2:30 PM, Fred wrote: >>> On 14/09/2019 20:27, peteolcott wrote: >>>> On 9/14/2019 1:33 PM, Fred wrote: >>>>> On 14/09/2019 19:09, peteolcott wrote: >>>>> >>>>>> It took me a long time to cut-and-paste this because all of the >>>>>> variables >>>>>> and symbols were images rather than Unicode: >>>>> >>>>> Spend as much time reading and comprehending as you do cutting and >>>>> pasting, and you might gain some understanding. It's still wrong >>>>> so your time was wasted. >>>>> >>>>>> https://www.encyclopediaofmath.org/index.php/Interval_and_segment >>>>>> Interval and segment >>>>>> The simplest sets of points on the line. An interval (open >>>>>> interval) is a set of points on a line lying between two fixed >>>>>> points A and B, where A and B themselves are considered not to >>>>>> belong to the interval. A segment (closed interval) is >>>>>> a set of points between two points A and B, where A and B are >>>>>> included. The terms "interval" and "segment" are also >>>>>> used for the corresponding sets of real numbers: an interval >>>>>> consists of numbers satisfying a < x < b, while a >>>>>> segment consists of those x for which a ≤ x ≤ b. An interval is >>>>>> denoted by (a, b), or ], and a segment by [a, b]. >>>>> >>>>> "or ]" makes no sense. >>>>> >>>>> Anyway, all of (a,b), (a,b], [a,b) and [a,b] are intervals. >>>>> >>>>> >>>>> >>>> >>>> The first one is exactly one geometric point shorter than the second >>>> one. >>> >>> The length of each of them is b - a. The length of a single point is 0. >>> >> >> If the length of a single geometric point was actually zero then >> the length of every interval would also be zero because 0 * ∞ = 0, > > ∞ is not a number. You can't perform arithmetic on it. > >> therefore the length of a single point on a number line is NOT zero. > > A point, by definition, is dimensionless. It has no size. > > The number of points in any (non-empty) real interval is exactly the > same (2^ℵ_0). I would say "any (non-degenerate) real interval", 'cuz [0,0], for example, is an interval too. Pete will probably object to an isolated point being called an interval...
[toc] | [prev] | [next] | [standalone]
| From | André G. Isaak <agisaak@gm.invalid> |
|---|---|
| Date | 2019-09-14 14:25 -0600 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <qljic2$5ur$1@dont-email.me> |
| In reply to | #210695 |
On 2019-09-14 2:18 p.m., Fred wrote: > On 14/09/2019 21:08, André G. Isaak wrote: >> On 2019-09-14 1:41 p.m., peteolcott wrote: >>> On 9/14/2019 2:30 PM, Fred wrote: >>>> On 14/09/2019 20:27, peteolcott wrote: >>>>> On 9/14/2019 1:33 PM, Fred wrote: >>>>>> On 14/09/2019 19:09, peteolcott wrote: >>>>>> >>>>>>> It took me a long time to cut-and-paste this because all of the >>>>>>> variables >>>>>>> and symbols were images rather than Unicode: >>>>>> >>>>>> Spend as much time reading and comprehending as you do cutting and >>>>>> pasting, and you might gain some understanding. It's still wrong >>>>>> so your time was wasted. >>>>>> >>>>>>> https://www.encyclopediaofmath.org/index.php/Interval_and_segment >>>>>>> Interval and segment >>>>>>> The simplest sets of points on the line. An interval (open >>>>>>> interval) is a set of points on a line lying between two fixed >>>>>>> points A and B, where A and B themselves are considered not to >>>>>>> belong to the interval. A segment (closed interval) is >>>>>>> a set of points between two points A and B, where A and B are >>>>>>> included. The terms "interval" and "segment" are also >>>>>>> used for the corresponding sets of real numbers: an interval >>>>>>> consists of numbers satisfying a < x < b, while a >>>>>>> segment consists of those x for which a ≤ x ≤ b. An interval is >>>>>>> denoted by (a, b), or ], and a segment by [a, b]. >>>>>> >>>>>> "or ]" makes no sense. >>>>>> >>>>>> Anyway, all of (a,b), (a,b], [a,b) and [a,b] are intervals. >>>>>> >>>>>> >>>>>> >>>>> >>>>> The first one is exactly one geometric point shorter than the >>>>> second one. >>>> >>>> The length of each of them is b - a. The length of a single point >>>> is 0. >>>> >>> >>> If the length of a single geometric point was actually zero then >>> the length of every interval would also be zero because 0 * ∞ = 0, >> >> ∞ is not a number. You can't perform arithmetic on it. >> >>> therefore the length of a single point on a number line is NOT zero. >> >> A point, by definition, is dimensionless. It has no size. >> >> The number of points in any (non-empty) real interval is exactly the >> same (2^ℵ_0). > > I would say "any (non-degenerate) real interval", 'cuz [0,0], for > example, is an interval too. Pete will probably object to an isolated > point being called an interval... Oops, I was being sloppy... André -- To email remove 'invalid' & replace 'gm' with well known Google mail service.
[toc] | [prev] | [next] | [standalone]
| From | peteolcott <Here@Home> |
|---|---|
| Date | 2019-09-14 16:03 -0500 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <of6dnTZRafbiyODAnZ2dnUU7-SednZ2d@giganews.com> |
| In reply to | #210695 |
On 9/14/2019 3:18 PM, Fred wrote: > On 14/09/2019 21:08, André G. Isaak wrote: >> On 2019-09-14 1:41 p.m., peteolcott wrote: >>> On 9/14/2019 2:30 PM, Fred wrote: >>>> On 14/09/2019 20:27, peteolcott wrote: >>>>> On 9/14/2019 1:33 PM, Fred wrote: >>>>>> On 14/09/2019 19:09, peteolcott wrote: >>>>>> >>>>>>> It took me a long time to cut-and-paste this because all of the variables >>>>>>> and symbols were images rather than Unicode: >>>>>> >>>>>> Spend as much time reading and comprehending as you do cutting and pasting, and you might gain some understanding. It's still wrong so your time was wasted. >>>>>> >>>>>>> https://www.encyclopediaofmath.org/index.php/Interval_and_segment >>>>>>> Interval and segment >>>>>>> The simplest sets of points on the line. An interval (open interval) is a set of points on a line lying between two fixed >>>>>>> points A and B, where A and B themselves are considered not to belong to the interval. A segment (closed interval) is >>>>>>> a set of points between two points A and B, where A and B are included. The terms "interval" and "segment" are also >>>>>>> used for the corresponding sets of real numbers: an interval consists of numbers satisfying a < x < b, while a >>>>>>> segment consists of those x for which a ≤ x ≤ b. An interval is denoted by (a, b), or ], and a segment by [a, b]. >>>>>> >>>>>> "or ]" makes no sense. >>>>>> >>>>>> Anyway, all of (a,b), (a,b], [a,b) and [a,b] are intervals. >>>>>> >>>>>> >>>>>> >>>>> >>>>> The first one is exactly one geometric point shorter than the second one. >>>> >>>> The length of each of them is b - a. The length of a single point is 0. >>>> >>> >>> If the length of a single geometric point was actually zero then >>> the length of every interval would also be zero because 0 * ∞ = 0, >> >> ∞ is not a number. You can't perform arithmetic on it. >> >>> therefore the length of a single point on a number line is NOT zero. >> >> A point, by definition, is dimensionless. It has no size. >> >> The number of points in any (non-empty) real interval is exactly the same (2^ℵ_0). > > I would say "any (non-degenerate) real interval", 'cuz [0,0], for example, is an interval too. Pete will probably object to an isolated point being called an interval... > > It does not matter what the Hell things are called as long as the underlying ideas are sufficiently elaborated. I would give unique integers to these ideas so that no one get confused. -- Copyright 2019 Pete Olcott All rights reserved "Great spirits have always encountered violent opposition from mediocre minds." Albert Einstein
[toc] | [prev] | [next] | [standalone]
| From | Fred <Fred@nowhere.invalid> |
|---|---|
| Date | 2019-09-14 22:19 +0100 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <qljlgf$j8h$2@news.albasani.net> |
| In reply to | #210700 |
On 14/09/2019 22:03, peteolcott wrote: > On 9/14/2019 3:18 PM, Fred wrote: >> On 14/09/2019 21:08, André G. Isaak wrote: >>> On 2019-09-14 1:41 p.m., peteolcott wrote: >>>> On 9/14/2019 2:30 PM, Fred wrote: >>>>> On 14/09/2019 20:27, peteolcott wrote: >>>>>> On 9/14/2019 1:33 PM, Fred wrote: >>>>>>> On 14/09/2019 19:09, peteolcott wrote: >>>>>>> >>>>>>>> It took me a long time to cut-and-paste this because all of the >>>>>>>> variables >>>>>>>> and symbols were images rather than Unicode: >>>>>>> >>>>>>> Spend as much time reading and comprehending as you do cutting >>>>>>> and pasting, and you might gain some understanding. It's still >>>>>>> wrong so your time was wasted. >>>>>>> >>>>>>>> https://www.encyclopediaofmath.org/index.php/Interval_and_segment >>>>>>>> Interval and segment >>>>>>>> The simplest sets of points on the line. An interval (open >>>>>>>> interval) is a set of points on a line lying between two fixed >>>>>>>> points A and B, where A and B themselves are considered not to >>>>>>>> belong to the interval. A segment (closed interval) is >>>>>>>> a set of points between two points A and B, where A and B are >>>>>>>> included. The terms "interval" and "segment" are also >>>>>>>> used for the corresponding sets of real numbers: an interval >>>>>>>> consists of numbers satisfying a < x < b, while a >>>>>>>> segment consists of those x for which a ≤ x ≤ b. An interval is >>>>>>>> denoted by (a, b), or ], and a segment by [a, b]. >>>>>>> >>>>>>> "or ]" makes no sense. >>>>>>> >>>>>>> Anyway, all of (a,b), (a,b], [a,b) and [a,b] are intervals. >>>>>>> >>>>>>> >>>>>>> >>>>>> >>>>>> The first one is exactly one geometric point shorter than the >>>>>> second one. >>>>> >>>>> The length of each of them is b - a. The length of a single point >>>>> is 0. >>>>> >>>> >>>> If the length of a single geometric point was actually zero then >>>> the length of every interval would also be zero because 0 * ∞ = 0, >>> >>> ∞ is not a number. You can't perform arithmetic on it. >>> >>>> therefore the length of a single point on a number line is NOT zero. >>> >>> A point, by definition, is dimensionless. It has no size. >>> >>> The number of points in any (non-empty) real interval is exactly the >>> same (2^ℵ_0). >> >> I would say "any (non-degenerate) real interval", 'cuz [0,0], for >> example, is an interval too. Pete will probably object to an isolated >> point being called an interval... >> >> > > It does not matter what the Hell things are called as long as the > underlying > ideas are sufficiently elaborated. Are you going to elaborate your ideas concerning infinitesimals and ∞? > I would give unique integers to these > ideas so that no one get confused. >
[toc] | [prev] | [next] | [standalone]
| From | peteolcott <Here@Home> |
|---|---|
| Date | 2019-09-14 15:45 -0500 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <i7adnQ0um8EczODAnZ2dnUU7-VfNnZ2d@giganews.com> |
| In reply to | #210693 |
On 9/14/2019 3:08 PM, André G. Isaak wrote: > On 2019-09-14 1:41 p.m., peteolcott wrote: >> On 9/14/2019 2:30 PM, Fred wrote: >>> On 14/09/2019 20:27, peteolcott wrote: >>>> On 9/14/2019 1:33 PM, Fred wrote: >>>>> On 14/09/2019 19:09, peteolcott wrote: >>>>> >>>>>> It took me a long time to cut-and-paste this because all of the variables >>>>>> and symbols were images rather than Unicode: >>>>> >>>>> Spend as much time reading and comprehending as you do cutting and pasting, and you might gain some understanding. It's still wrong so your time was wasted. >>>>> >>>>>> https://www.encyclopediaofmath.org/index.php/Interval_and_segment >>>>>> Interval and segment >>>>>> The simplest sets of points on the line. An interval (open interval) is a set of points on a line lying between two fixed >>>>>> points A and B, where A and B themselves are considered not to belong to the interval. A segment (closed interval) is >>>>>> a set of points between two points A and B, where A and B are included. The terms "interval" and "segment" are also >>>>>> used for the corresponding sets of real numbers: an interval consists of numbers satisfying a < x < b, while a >>>>>> segment consists of those x for which a ≤ x ≤ b. An interval is denoted by (a, b), or ], and a segment by [a, b]. >>>>> >>>>> "or ]" makes no sense. >>>>> >>>>> Anyway, all of (a,b), (a,b], [a,b) and [a,b] are intervals. >>>>> >>>>> >>>>> >>>> >>>> The first one is exactly one geometric point shorter than the second one. >>> >>> The length of each of them is b - a. The length of a single point is 0. >>> >> >> If the length of a single geometric point was actually zero then >> the length of every interval would also be zero because 0 * ∞ = 0, > > ∞ is not a number. You can't perform arithmetic on it. > >> therefore the length of a single point on a number line is NOT zero. > > A point, by definition, is dimensionless. It has no size. > > The number of points in any (non-empty) real interval is exactly the same (2^ℵ_0). > > André > > That is contradicted by the fact that the interval (0.0, 1.0] has exactly one more geometric point than the interval (0.0, 1.0). The common wisdom that a geometric point has zero width is now proven to be incorrect. More accurately a single geometric point has infinitesimal width. -- Copyright 2019 Pete Olcott All rights reserved "Great spirits have always encountered violent opposition from mediocre minds." Albert Einstein
[toc] | [prev] | [next] | [standalone]
| From | Fred <Fred@nowhere.invalid> |
|---|---|
| Date | 2019-09-14 21:55 +0100 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <qljk49$lle$1@news.albasani.net> |
| In reply to | #210697 |
On 14/09/2019 21:45, peteolcott wrote: > The common wisdom that a geometric point has zero width is now > proven to be incorrect. More accurately a single geometric > point has infinitesimal width. The common wisdom, as you call it, is indeed wise. He who says that a single geometric point has infinitesimal width is only making a useful statement if it is accompanied by a theory of infinitesimals. Luckily, there are theories of infinitesimals (see here https://en.wikipedia.org/wiki/Infinitesimal#Number_systems_that_include_infinitesimals for starters). Is any of them yours? If not, where may a coherent account of yours be found?
[toc] | [prev] | [next] | [standalone]
| From | peteolcott <Here@Home> |
|---|---|
| Date | 2019-09-14 16:06 -0500 |
| Subject | Re: Cantor was wrong about cardinality --- APOLOGY |
| Message-ID | <of6dnTFRafbfy-DAnZ2dnUU7-SednZ2d@giganews.com> |
| In reply to | #210698 |
On 9/14/2019 3:55 PM, Fred wrote: > On 14/09/2019 21:45, peteolcott wrote: > > >> The common wisdom that a geometric point has zero width is now >> proven to be incorrect. More accurately a single geometric >> point has infinitesimal width. > > The common wisdom, as you call it, is indeed wise. He who says that a single geometric point has infinitesimal width is only making a useful statement if it is accompanied by a theory of infinitesimals. Luckily, there are theories of infinitesimals (see > here https://en.wikipedia.org/wiki/Infinitesimal#Number_systems_that_include_infinitesimals for starters). Is any of them yours? If not, where may a coherent account of yours be found? > > Who else has proved that cardinality is incorrect? -- Copyright 2019 Pete Olcott All rights reserved "Great spirits have always encountered violent opposition from mediocre minds." Albert Einstein
[toc] | [prev] | [next] | [standalone]
Page 7 of 17 — ← Prev page 1 … 5 6 [7] 8 9 … 17 Next page →
Back to top | Article view | sci.logic
csiph-web