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Groups > sci.math > #645668 > unrolled thread

William T. Parry gets rid of Disjunction introduction

Started byolcott <polcott333@gmail.com>
First post2026-06-25 20:32 -0500
Last post2026-07-06 09:50 -0400
Articles 20 on this page of 185 — 9 participants

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Contents

  William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-25 20:32 -0500
    Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-26 09:49 +0300
      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-26 07:49 -0500
        Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-26 09:14 -0400
          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-26 08:17 -0500
            Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-26 09:22 -0400
              Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-26 09:24 -0400
                Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-26 12:09 -0400
                Re: William T. Parry gets rid of Disjunction introduction Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-06-27 07:18 -0700
              Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-27 10:11 +0300
        Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-27 10:08 +0300
          Re: William T. Parry gets rid of Disjunction introduction polcott <polcott333@gmail.com> - 2026-06-27 10:11 -0500
            Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-27 13:54 -0400
              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-27 13:03 -0500
                Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-27 14:24 -0400
                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-27 13:29 -0500
                    Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-27 14:34 -0400
                      Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-27 18:30 -0400
                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-27 17:40 -0500
                        Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-27 18:52 -0400
                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-27 18:22 -0500
                            Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-27 19:30 -0400
                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-27 18:56 -0500
                                Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-27 21:08 -0400
                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-27 20:24 -0500
                                    Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-27 21:29 -0400
                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-27 20:40 -0500
                                        Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-27 21:42 -0400
                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-27 20:49 -0500
                                            Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-27 21:53 -0400
                                              Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-27 22:02 -0400
                                                Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-27 22:23 -0500
                                                  Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-27 23:34 -0400
                                                    Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-28 12:23 +0300
                                                    Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-28 23:56 -0400
                                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-28 23:13 -0500
                                                        Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-29 08:08 -0400
                                                          Re: William T. Parry gets rid of Disjunction introduction polcott <polcott333@gmail.com> - 2026-06-29 08:17 -0500
                                                            Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-29 09:23 -0400
                                                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-29 09:00 -0500
                                                                Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-29 10:01 -0400
                                                                Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-30 11:48 +0300
                                                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-30 09:37 -0500
                                                                    Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-01 09:46 +0300
                                                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-01 10:01 -0500
                                                                        Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-02 09:21 +0300
                                                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-02 09:37 -0500
                                                                            Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-07-02 10:42 -0400
                                                                            Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-03 11:17 +0300
                                                                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-03 09:46 -0500
                                                                                Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-04 09:37 +0300
                                                                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 08:15 -0500
                                                                                    Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-07-04 09:19 -0400
                                                                                    Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-06 10:16 +0300
                                                                                      Olcott gets rid of the Principle of Explosion olcott <polcott333@gmail.com> - 2026-07-06 08:56 -0500
                                                                                        Re: Olcott gets rid of the Principle of Explosion dbush <dbush.mobile@gmail.com> - 2026-07-06 10:09 -0400
                                                                                          Re: Olcott gets rid of the Principle of Explosion Mikko <mikko.levanto@iki.fi> - 2026-07-08 12:05 +0300
                                                                                        Re: Olcott gets rid of the Principle of Explosion Mikko <mikko.levanto@iki.fi> - 2026-07-08 12:02 +0300
                                                                                    Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-06 13:17 +0300
                                                                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 12:54 -0500
                                                                                        Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-06 12:57 -0600
                                                                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 14:06 -0500
                                                                                            Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-06 13:17 -0600
                                                                                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 15:04 -0500
                                                                                                Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-06 14:20 -0600
                                                                                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 16:54 -0500
                                                                                                    Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-06 16:15 -0600
                                                                                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 17:36 -0500
                                                                                                        Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-06 16:50 -0600
                                                                                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 17:53 -0500
                                                                                                            Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-06 17:37 -0600
                                                                                                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 18:40 -0500
                                                                                                                Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-06 18:47 -0600
                                                                                                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 20:24 -0500
                                                                                                                    Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-06 19:49 -0600
                                                                                                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 20:57 -0500
                                                                                                                        Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-06 20:11 -0600
                                                                                                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 21:24 -0500
                                                                                                                            Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-06 20:41 -0600
                                                                                                                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 21:44 -0500
                                                                                                                                Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-06 21:03 -0600
                                                                                                                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 22:12 -0500
                                                                                                                                    Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-06 21:28 -0600
                                                                                                                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 22:40 -0500
                                                                                                                                        Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-07 09:31 -0600
                                                                                                                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-07 11:04 -0500
                                                                                                                                            Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-07 12:46 -0600
                                                                                                                                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-07 14:19 -0500
                                                                                                                                                Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-07 13:29 -0600
                                                                                                                                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-07 14:53 -0500
                                                                                                                                                    Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-07 14:08 -0600
                                                                                                                                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-07 16:13 -0500
                                                                                                                                                        Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-07 15:24 -0600
                                                                                                                                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-07 16:30 -0500
                                                                                                                                                            Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-07 17:06 -0600
                                                                                                                                                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-07 19:05 -0500
                                                                                                                                                                Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-07 19:17 -0600
                                                                                                                                                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-07 20:49 -0500
                                                                                                                                                                  Re: William T. Parry gets rid of Disjunction introduction "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-07-08 15:12 -0700
                                                                                                                                      Re: William T. Parry gets rid of Disjunction introduction Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-06 21:58 -0700
                                                                                                                                        Re: William T. Parry gets rid of Disjunction introduction Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-07 08:44 -0700
                                                                                                                                          Re: William T. Parry gets rid of Disjunction introduction Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-07 08:56 -0700
                                                                                                                                            Ross Finlayson what about the Prolog Liar Paradox ? olcott <polcott333@gmail.com> - 2026-07-07 11:10 -0500
                                                                                                                                              Re: Ross Finlayson what about the Prolog Liar Paradox ? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-07 10:53 -0700
                                                                                                                                                Re: Ross Finlayson what about the Prolog Liar Paradox ? olcott <polcott333@gmail.com> - 2026-07-07 13:07 -0500
                                                                                                                                                  Re: Ross Finlayson what about the Prolog Liar Paradox ? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-07 12:17 -0700
                                                                                                                                                    Re: Ross Finlayson what about the Prolog Liar Paradox ? olcott <polcott333@gmail.com> - 2026-07-07 14:48 -0500
                                                                                                                                                      Re: Ross Finlayson what about the Prolog Liar Paradox ? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-07 14:35 -0700
                                                                                                                                                        Re: Ross Finlayson what about the Prolog Liar Paradox ? Alan Mackenzie <acm@muc.de> - 2026-07-07 21:57 +0000
                                                                                                                                                          Re: Ross Finlayson what about the Prolog Liar Paradox ? Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-07-08 00:36 -0700
                                                                                                                                                        Re: Ross Finlayson what about the Prolog Liar Paradox ? olcott <polcott333@gmail.com> - 2026-07-07 17:17 -0500
                                                                                                    Re: William T. Parry gets rid of Disjunction introduction Alan Mackenzie <acm@muc.de> - 2026-07-06 22:17 +0000
                                                                                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 17:31 -0500
                                                                                        Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-08 12:10 +0300
                                                              Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-30 10:55 +0300
                                                                Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-30 08:45 -0500
                                                                  Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-01 09:50 +0300
                                                                    Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-01 10:04 -0500
                                                                      Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-07-01 13:34 -0400
                                                                      Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-02 09:27 +0300
                                                                      Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-09 10:48 +0300
                                                                  Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-09 10:40 +0300
                                              Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-28 12:22 +0300
                                Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-28 12:18 +0300
                        Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-28 12:13 +0300
                    Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-28 12:32 +0300
                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-28 22:17 -0500
                        Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-29 12:29 +0300
                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-29 08:55 -0500
                        Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-29 09:59 -0400
                        Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-30 11:10 +0300
                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-06-30 08:55 -0500
                            Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-06-30 10:01 -0400
                            Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-01 09:53 +0300
                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-01 10:06 -0500
                                Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-02 09:29 +0300
                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-02 09:40 -0500
                                    Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-03 11:22 +0300
                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 12:09 -0500
                                        Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-06 10:20 +0300
                            Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-01 10:32 +0300
                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-01 10:25 -0500
                                Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-07-01 13:37 -0400
                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-01 13:02 -0500
                                    Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-07-01 14:17 -0400
                                Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-02 09:31 +0300
                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-02 09:40 -0500
                                    Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-03 11:24 +0300
                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-03 10:04 -0500
                                        Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-04 09:47 +0300
                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 08:21 -0500
                                            Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-04 09:08 -0600
                                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 11:44 -0500
                                                Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-04 10:59 -0600
                                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 15:58 -0500
                                                    Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-04 15:29 -0600
                                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 16:36 -0500
                                                        Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-04 16:11 -0600
                                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 18:42 -0500
                                                            Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-04 17:57 -0600
                                                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 19:08 -0500
                                                                Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-04 18:23 -0600
                                                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 19:33 -0500
                                                                    Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-04 18:43 -0600
                                                                      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 20:18 -0500
                                                                        Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-04 19:28 -0600
                                                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 21:17 -0500
                                                                            Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-04 20:22 -0600
                                                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 21:29 -0500
                                                                            Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-04 20:50 -0600
                                                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 22:17 -0500
                                                                            Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-04 21:23 -0600
                                                                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 22:45 -0500
                                                                            Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-04 21:52 -0600
                                                                              Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 23:05 -0500
                                                                                Re: William T. Parry gets rid of Disjunction introduction André G. Isaak <agisaak@gm.invalid> - 2026-07-05 14:40 -0600
                                                                                  Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-05 15:51 -0500
                                            Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-06 10:40 +0300
                                        Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-04 11:16 +0300
                                          Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-04 12:11 -0500
                                            Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-07-06 10:53 +0300
            Re: William T. Parry gets rid of Disjunction introduction Mikko <mikko.levanto@iki.fi> - 2026-06-28 12:04 +0300
    Re: William T. Parry gets rid of Disjunction introduction Tristan Wibberley <tristan.wibberley+netnews2@alumni.manchester.ac.uk> - 2026-07-06 12:49 +0100
      Re: William T. Parry gets rid of Disjunction introduction olcott <polcott333@gmail.com> - 2026-07-06 08:45 -0500
        Re: William T. Parry gets rid of Disjunction introduction dbush <dbush.mobile@gmail.com> - 2026-07-06 09:50 -0400

Page 1 of 10  [1] 2 3 … 10  Next page →


#645668 — William T. Parry gets rid of Disjunction introduction

Fromolcott <polcott333@gmail.com>
Date2026-06-25 20:32 -0500
SubjectWilliam T. Parry gets rid of Disjunction introduction
Message-ID<111kkr2$6t8i$1@dont-email.me>
William T. Parry, Entailment Logics
gets rid of Disjunction introduction
to prevent the principle of explosion

A simple logical matrix and sequent calculus for
Parry’s logic of Analytic Implication

The main and distinctive feature of PAI (and of the many
systems of analytic implication belonging to its ilk) is
the rejection of the classically valid principle of Addition,
sometimes also referred to as Disjunction Introduction. In
other words, the principle leading from a formula ϕ to a
disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
formula. Parry blamed on this principle the derivability
of the paradoxes of strict implication—given that it is
famously featured in Lewis’ derivation of an arbitrary
formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.

https://philarchive.org/archive/SZMASL


-- 
Copyright 2026 Olcott

My 28 year goal has been to make
"true on the basis of meaning expressed in language"
reliably computable for the entire body of knowledge.
The complete structure of this system is now defined.

The entire body of knowledge expressed in language is
comprised of two types of relations between finite strings:
(a) *Axioms* Expressions of language that are stipulated to be true.

My system bridges the analytic/synthetic distinction by
expressly encoding all empirical "atomic facts" in a formal
language such as CycL of the Cyc project.

(b) *Inference Rules* Expressions of language that are semantically
entailed syntactically from (a) and/or (b).

[toc] | [next] | [standalone]


#645677

FromMikko <mikko.levanto@iki.fi>
Date2026-06-26 09:49 +0300
Message-ID<111l7ej$bagg$1@dont-email.me>
In reply to#645668
On 26/06/2026 04:32, olcott wrote:
> William T. Parry, Entailment Logics
> gets rid of Disjunction introduction
> to prevent the principle of explosion
> 
> A simple logical matrix and sequent calculus for
> Parry’s logic of Analytic Implication
> 
> The main and distinctive feature of PAI (and of the many
> systems of analytic implication belonging to its ilk) is
> the rejection of the classically valid principle of Addition,
> sometimes also referred to as Disjunction Introduction. In
> other words, the principle leading from a formula ϕ to a
> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
> formula. Parry blamed on this principle the derivability
> of the paradoxes of strict implication—given that it is
> famously featured in Lewis’ derivation of an arbitrary
> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
> 
> https://philarchive.org/archive/SZMASL

He also gets rid of an efficient way to convince people who don't
understand much of logic.

-- 
Mikko

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#645678

Fromolcott <polcott333@gmail.com>
Date2026-06-26 07:49 -0500
Message-ID<111lsfu$hkkf$1@dont-email.me>
In reply to#645677
On 6/26/2026 1:49 AM, Mikko wrote:
> On 26/06/2026 04:32, olcott wrote:
>> William T. Parry, Entailment Logics
>> gets rid of Disjunction introduction
>> to prevent the principle of explosion
>>
>> A simple logical matrix and sequent calculus for
>> Parry’s logic of Analytic Implication
>>
>> The main and distinctive feature of PAI (and of the many
>> systems of analytic implication belonging to its ilk) is
>> the rejection of the classically valid principle of Addition,
>> sometimes also referred to as Disjunction Introduction. In
>> other words, the principle leading from a formula ϕ to a
>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>> formula. Parry blamed on this principle the derivability
>> of the paradoxes of strict implication—given that it is
>> famously featured in Lewis’ derivation of an arbitrary
>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>
>> https://philarchive.org/archive/SZMASL
> 
> He also gets rid of an efficient way to convince people who don't
> understand much of logic.
> 

As I recently showed in another post. I figured
all this out on my own. I didn't even know that
anyone else ever did this. I just knew that when
trying to find out what is deduced from a set of
premises that you cannot pop in another sentence
from out of nowhere and get a correct conclusion.

By popping in another sentence from out of nowhere
(as it shows above) the principle of explosion is
derived.

-- 
Copyright 2026 Olcott

My 28 year goal has been to make
"true on the basis of meaning expressed in language"
reliably computable for the entire body of knowledge.
The complete structure of this system is now defined.

The entire body of knowledge expressed in language is
comprised of two types of relations between finite strings:
(a) *Axioms* Expressions of language that are stipulated to be true.

My system bridges the analytic/synthetic distinction by
expressly encoding all empirical "atomic facts" in a formal
language such as CycL of the Cyc project.

(b) *Inference Rules* Expressions of language that are semantically
entailed syntactically from (a) and/or (b).

[toc] | [prev] | [next] | [standalone]


#645684

Fromdbush <dbush.mobile@gmail.com>
Date2026-06-26 09:14 -0400
Message-ID<111lu0g$hlri$1@dont-email.me>
In reply to#645678
On 6/26/2026 8:49 AM, olcott wrote:
> On 6/26/2026 1:49 AM, Mikko wrote:
>> On 26/06/2026 04:32, olcott wrote:
>>> William T. Parry, Entailment Logics
>>> gets rid of Disjunction introduction
>>> to prevent the principle of explosion
>>>
>>> A simple logical matrix and sequent calculus for
>>> Parry’s logic of Analytic Implication
>>>
>>> The main and distinctive feature of PAI (and of the many
>>> systems of analytic implication belonging to its ilk) is
>>> the rejection of the classically valid principle of Addition,
>>> sometimes also referred to as Disjunction Introduction. In
>>> other words, the principle leading from a formula ϕ to a
>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>> formula. Parry blamed on this principle the derivability
>>> of the paradoxes of strict implication—given that it is
>>> famously featured in Lewis’ derivation of an arbitrary
>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>
>>> https://philarchive.org/archive/SZMASL
>>
>> He also gets rid of an efficient way to convince people who don't
>> understand much of logic.
>>
> 
> As I recently showed in another post. I figured
> all this out on my own. I didn't even know that
> anyone else ever did this. I just knew that when
> trying to find out what is deduced from a set of
> premises that you cannot pop in another sentence
> from out of nowhere and get a correct conclusion.


Given that the following statement is true:

--------------------------------------
There is a Walmart bag at the deepest point of the Mariana Trench.
--------------------------------------

And the following statement has an unknown truth value:
--------------------------------------
There is a Walmart bag at the deepest point of the Mariana Trench.
--------------------------------------

When put together in the following natural language sentence:

--------------------------------------
At least one of the following statements is true:
- Earth is the third planet from the sun.
- There is a Walmart bag at the deepest point of the Mariana Trench.
--------------------------------------

Is the condition "At least one of the following statements is true" 
satisfied?

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#645686

Fromolcott <polcott333@gmail.com>
Date2026-06-26 08:17 -0500
Message-ID<111lu4s$i4fc$2@dont-email.me>
In reply to#645684
On 6/26/2026 8:14 AM, dbush wrote:
> On 6/26/2026 8:49 AM, olcott wrote:
>> On 6/26/2026 1:49 AM, Mikko wrote:
>>> On 26/06/2026 04:32, olcott wrote:
>>>> William T. Parry, Entailment Logics
>>>> gets rid of Disjunction introduction
>>>> to prevent the principle of explosion
>>>>
>>>> A simple logical matrix and sequent calculus for
>>>> Parry’s logic of Analytic Implication
>>>>
>>>> The main and distinctive feature of PAI (and of the many
>>>> systems of analytic implication belonging to its ilk) is
>>>> the rejection of the classically valid principle of Addition,
>>>> sometimes also referred to as Disjunction Introduction. In
>>>> other words, the principle leading from a formula ϕ to a
>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>> formula. Parry blamed on this principle the derivability
>>>> of the paradoxes of strict implication—given that it is
>>>> famously featured in Lewis’ derivation of an arbitrary
>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>
>>>> https://philarchive.org/archive/SZMASL
>>>
>>> He also gets rid of an efficient way to convince people who don't
>>> understand much of logic.
>>>
>>
>> As I recently showed in another post. I figured
>> all this out on my own. I didn't even know that
>> anyone else ever did this. I just knew that when
>> trying to find out what is deduced from a set of
>> premises that you cannot pop in another sentence
>> from out of nowhere and get a correct conclusion.
> 
> 
> Given that the following statement is true:
> 
> --------------------------------------
> There is a Walmart bag at the deepest point of the Mariana Trench.
> --------------------------------------
> 
> And the following statement has an unknown truth value:
> --------------------------------------
> There is a Walmart bag at the deepest point of the Mariana Trench.
> --------------------------------------
> 
> When put together in the following natural language sentence:
> 
> --------------------------------------
> At least one of the following statements is true:
> - Earth is the third planet from the sun.
> - There is a Walmart bag at the deepest point of the Mariana Trench.
> --------------------------------------
> 
> Is the condition "At least one of the following statements is true" 
> satisfied?
> 

You either are not bright enough to understand
the deep meaning of Disjunction introduction or
you are playing head games. Unless you want an
honest dialogue please fuck off.

-- 
Copyright 2026 Olcott

My 28 year goal has been to make
"true on the basis of meaning expressed in language"
reliably computable for the entire body of knowledge.
The complete structure of this system is now defined.

The entire body of knowledge expressed in language is
comprised of two types of relations between finite strings:
(a) *Axioms* Expressions of language that are stipulated to be true.

My system bridges the analytic/synthetic distinction by
expressly encoding all empirical "atomic facts" in a formal
language such as CycL of the Cyc project.

(b) *Inference Rules* Expressions of language that are semantically
entailed syntactically from (a) and/or (b).

[toc] | [prev] | [next] | [standalone]


#645688

Fromdbush <dbush.mobile@gmail.com>
Date2026-06-26 09:22 -0400
Message-ID<111luee$hlri$3@dont-email.me>
In reply to#645686
On 6/26/2026 9:17 AM, olcott wrote:
> On 6/26/2026 8:14 AM, dbush wrote:
>> On 6/26/2026 8:49 AM, olcott wrote:
>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>> On 26/06/2026 04:32, olcott wrote:
>>>>> William T. Parry, Entailment Logics
>>>>> gets rid of Disjunction introduction
>>>>> to prevent the principle of explosion
>>>>>
>>>>> A simple logical matrix and sequent calculus for
>>>>> Parry’s logic of Analytic Implication
>>>>>
>>>>> The main and distinctive feature of PAI (and of the many
>>>>> systems of analytic implication belonging to its ilk) is
>>>>> the rejection of the classically valid principle of Addition,
>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>> other words, the principle leading from a formula ϕ to a
>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>> formula. Parry blamed on this principle the derivability
>>>>> of the paradoxes of strict implication—given that it is
>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>
>>>>> https://philarchive.org/archive/SZMASL
>>>>
>>>> He also gets rid of an efficient way to convince people who don't
>>>> understand much of logic.
>>>>
>>>
>>> As I recently showed in another post. I figured
>>> all this out on my own. I didn't even know that
>>> anyone else ever did this. I just knew that when
>>> trying to find out what is deduced from a set of
>>> premises that you cannot pop in another sentence
>>> from out of nowhere and get a correct conclusion.
>>
>>
>> Given that the following statement is true:
>>
>> --------------------------------------
>> There is a Walmart bag at the deepest point of the Mariana Trench.
>> --------------------------------------
>>
>> And the following statement has an unknown truth value:
>> --------------------------------------
>> There is a Walmart bag at the deepest point of the Mariana Trench.
>> --------------------------------------
>>
>> When put together in the following natural language sentence:
>>
>> --------------------------------------
>> At least one of the following statements is true:
>> - Earth is the third planet from the sun.
>> - There is a Walmart bag at the deepest point of the Mariana Trench.
>> --------------------------------------
>>
>> Is the condition "At least one of the following statements is true" 
>> satisfied?
>>
> 
> You either are not bright enough to understand
> the deep meaning of Disjunction introduction or
> you are playing head games. Unless you want an
> honest dialogue please fuck off.
> 


Why is it a head game?  It's a simple question:

Is the condition "At least one of the following statements is true" 
satisfied?

Not answering this question can only be seen as dishonest.  Do you 
intend to be dishonest?

[toc] | [prev] | [next] | [standalone]


#645689

Fromdbush <dbush.mobile@gmail.com>
Date2026-06-26 09:24 -0400
Message-ID<111luj9$hlri$4@dont-email.me>
In reply to#645688
On 6/26/2026 9:22 AM, dbush wrote:
> On 6/26/2026 9:17 AM, olcott wrote:
>> On 6/26/2026 8:14 AM, dbush wrote:
>>> On 6/26/2026 8:49 AM, olcott wrote:
>>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>>> On 26/06/2026 04:32, olcott wrote:
>>>>>> William T. Parry, Entailment Logics
>>>>>> gets rid of Disjunction introduction
>>>>>> to prevent the principle of explosion
>>>>>>
>>>>>> A simple logical matrix and sequent calculus for
>>>>>> Parry’s logic of Analytic Implication
>>>>>>
>>>>>> The main and distinctive feature of PAI (and of the many
>>>>>> systems of analytic implication belonging to its ilk) is
>>>>>> the rejection of the classically valid principle of Addition,
>>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>>> other words, the principle leading from a formula ϕ to a
>>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>>> formula. Parry blamed on this principle the derivability
>>>>>> of the paradoxes of strict implication—given that it is
>>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>>
>>>>>> https://philarchive.org/archive/SZMASL
>>>>>
>>>>> He also gets rid of an efficient way to convince people who don't
>>>>> understand much of logic.
>>>>>
>>>>
>>>> As I recently showed in another post. I figured
>>>> all this out on my own. I didn't even know that
>>>> anyone else ever did this. I just knew that when
>>>> trying to find out what is deduced from a set of
>>>> premises that you cannot pop in another sentence
>>>> from out of nowhere and get a correct conclusion.
>>>
>>>
>>> Given that the following statement is true:
>>>
>>> --------------------------------------
>>> There is a Walmart bag at the deepest point of the Mariana Trench.
>>> --------------------------------------
>>>
>>> And the following statement has an unknown truth value:
>>> --------------------------------------
>>> There is a Walmart bag at the deepest point of the Mariana Trench.
>>> --------------------------------------
>>>
>>> When put together in the following natural language sentence:
>>>
>>> --------------------------------------
>>> At least one of the following statements is true:
>>> - Earth is the third planet from the sun.
>>> - There is a Walmart bag at the deepest point of the Mariana Trench.
>>> --------------------------------------
>>>
>>> Is the condition "At least one of the following statements is true" 
>>> satisfied?
>>>
>>
>> You either are not bright enough to understand
>> the deep meaning of Disjunction introduction or
>> you are playing head games. Unless you want an
>> honest dialogue please fuck off.
>>
> 
> 
> Why is it a head game?  It's a simple question:
> 
> Is the condition "At least one of the following statements is true" 
> satisfied?
> 
> Not answering this question can only be seen as dishonest.  Do you 
> intend to be dishonest?

Copy/paste error above: the following statement is given as true:

--------------------------------------
Earth is the third planet from the sun.
--------------------------------------

[toc] | [prev] | [next] | [standalone]


#645694

Fromdbush <dbush.mobile@gmail.com>
Date2026-06-26 12:09 -0400
Message-ID<111m88a$lde0$2@dont-email.me>
In reply to#645689
On 6/26/2026 9:24 AM, dbush wrote:
> On 6/26/2026 9:22 AM, dbush wrote:
>> On 6/26/2026 9:17 AM, olcott wrote:
>>> On 6/26/2026 8:14 AM, dbush wrote:
>>>> On 6/26/2026 8:49 AM, olcott wrote:
>>>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>>>> On 26/06/2026 04:32, olcott wrote:
>>>>>>> William T. Parry, Entailment Logics
>>>>>>> gets rid of Disjunction introduction
>>>>>>> to prevent the principle of explosion
>>>>>>>
>>>>>>> A simple logical matrix and sequent calculus for
>>>>>>> Parry’s logic of Analytic Implication
>>>>>>>
>>>>>>> The main and distinctive feature of PAI (and of the many
>>>>>>> systems of analytic implication belonging to its ilk) is
>>>>>>> the rejection of the classically valid principle of Addition,
>>>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>>>> other words, the principle leading from a formula ϕ to a
>>>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>>>> formula. Parry blamed on this principle the derivability
>>>>>>> of the paradoxes of strict implication—given that it is
>>>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>>>
>>>>>>> https://philarchive.org/archive/SZMASL
>>>>>>
>>>>>> He also gets rid of an efficient way to convince people who don't
>>>>>> understand much of logic.
>>>>>>
>>>>>
>>>>> As I recently showed in another post. I figured
>>>>> all this out on my own. I didn't even know that
>>>>> anyone else ever did this. I just knew that when
>>>>> trying to find out what is deduced from a set of
>>>>> premises that you cannot pop in another sentence
>>>>> from out of nowhere and get a correct conclusion.
>>>>
>>>>
>>>> Given that the following statement is true:
>>>>
>>>> --------------------------------------
>>>> There is a Walmart bag at the deepest point of the Mariana Trench.
>>>> --------------------------------------
>>>>
>>>> And the following statement has an unknown truth value:
>>>> --------------------------------------
>>>> There is a Walmart bag at the deepest point of the Mariana Trench.
>>>> --------------------------------------
>>>>
>>>> When put together in the following natural language sentence:
>>>>
>>>> --------------------------------------
>>>> At least one of the following statements is true:
>>>> - Earth is the third planet from the sun.
>>>> - There is a Walmart bag at the deepest point of the Mariana Trench.
>>>> --------------------------------------
>>>>
>>>> Is the condition "At least one of the following statements is true" 
>>>> satisfied?
>>>>
>>>
>>> You either are not bright enough to understand
>>> the deep meaning of Disjunction introduction or
>>> you are playing head games. Unless you want an
>>> honest dialogue please fuck off.
>>>
>>
>>
>> Why is it a head game?  It's a simple question:
>>
>> Is the condition "At least one of the following statements is true" 
>> satisfied?
>>
>> Not answering this question can only be seen as dishonest.  Do you 
>> intend to be dishonest?
> 
> Copy/paste error above: the following statement is given as true:
> 
> --------------------------------------
> Earth is the third planet from the sun.
> --------------------------------------

Your lack of reply to this is your indication that you intend to be 
dishonest.

[toc] | [prev] | [next] | [standalone]


#645732

FromRoss Finlayson <ross.a.finlayson@gmail.com>
Date2026-06-27 07:18 -0700
Message-ID<WWWdncLh7PoHRqL3nZ2dnZfqnPudnZ2d@giganews.com>
In reply to#645689
On 06/26/2026 06:24 AM, dbush wrote:
> On 6/26/2026 9:22 AM, dbush wrote:
>> On 6/26/2026 9:17 AM, olcott wrote:
>>> On 6/26/2026 8:14 AM, dbush wrote:
>>>> On 6/26/2026 8:49 AM, olcott wrote:
>>>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>>>> On 26/06/2026 04:32, olcott wrote:
>>>>>>> William T. Parry, Entailment Logics
>>>>>>> gets rid of Disjunction introduction
>>>>>>> to prevent the principle of explosion
>>>>>>>
>>>>>>> A simple logical matrix and sequent calculus for
>>>>>>> Parry’s logic of Analytic Implication
>>>>>>>
>>>>>>> The main and distinctive feature of PAI (and of the many
>>>>>>> systems of analytic implication belonging to its ilk) is
>>>>>>> the rejection of the classically valid principle of Addition,
>>>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>>>> other words, the principle leading from a formula ϕ to a
>>>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>>>> formula. Parry blamed on this principle the derivability
>>>>>>> of the paradoxes of strict implication—given that it is
>>>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>>>
>>>>>>> https://philarchive.org/archive/SZMASL
>>>>>>
>>>>>> He also gets rid of an efficient way to convince people who don't
>>>>>> understand much of logic.
>>>>>>
>>>>>
>>>>> As I recently showed in another post. I figured
>>>>> all this out on my own. I didn't even know that
>>>>> anyone else ever did this. I just knew that when
>>>>> trying to find out what is deduced from a set of
>>>>> premises that you cannot pop in another sentence
>>>>> from out of nowhere and get a correct conclusion.
>>>>
>>>>
>>>> Given that the following statement is true:
>>>>
>>>> --------------------------------------
>>>> There is a Walmart bag at the deepest point of the Mariana Trench.
>>>> --------------------------------------
>>>>
>>>> And the following statement has an unknown truth value:
>>>> --------------------------------------
>>>> There is a Walmart bag at the deepest point of the Mariana Trench.
>>>> --------------------------------------
>>>>
>>>> When put together in the following natural language sentence:
>>>>
>>>> --------------------------------------
>>>> At least one of the following statements is true:
>>>> - Earth is the third planet from the sun.
>>>> - There is a Walmart bag at the deepest point of the Mariana Trench.
>>>> --------------------------------------
>>>>
>>>> Is the condition "At least one of the following statements is true"
>>>> satisfied?
>>>>
>>>
>>> You either are not bright enough to understand
>>> the deep meaning of Disjunction introduction or
>>> you are playing head games. Unless you want an
>>> honest dialogue please fuck off.
>>>
>>
>>
>> Why is it a head game?  It's a simple question:
>>
>> Is the condition "At least one of the following statements is true"
>> satisfied?
>>
>> Not answering this question can only be seen as dishonest.  Do you
>> intend to be dishonest?
>
> Copy/paste error above: the following statement is given as true:
>
> --------------------------------------
> Earth is the third planet from the sun.
> --------------------------------------


 >

The "conjunctive normal form" (CNF) is a rather simple thing,
being able to write things in terms of "AND" instead of "OR",
for things like satisfiability (SAT problems, SAT solvers),
that in terms of

AND

and

OR

and sometimes

XOR

and not so often

NOR and XNOR

with the

NOT

being a sort of predicate while then the above are combinators
and operators, point being CNF while it simplifies some things,
makes other things impossible, basically limits and completions.


So, "getting rid of it" as part of the "term-free, constant-free,
variable-free, parameter-free", also loses some expressive power,
so this is also broken open and "PO" will again have to find a
new one, as Prawitz et alia's "recovery" is an extensions, and
this Parry's "truncation" is a fragment.

Nobody needs "eliminating disjunctive introduction" to
cut out "material implication" and its fiend "principle of explosion",
it's like saying gonads are dirty and the best solution is to
have them removed. It's like when people have prostatitis and
end up getting prostatectomies when they should work it out.



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#645723

FromMikko <mikko.levanto@iki.fi>
Date2026-06-27 10:11 +0300
Message-ID<111nt2m$13erk$2@dont-email.me>
In reply to#645688
On 26/06/2026 16:22, dbush wrote:
> On 6/26/2026 9:17 AM, olcott wrote:
>> On 6/26/2026 8:14 AM, dbush wrote:
>>> On 6/26/2026 8:49 AM, olcott wrote:
>>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>>> On 26/06/2026 04:32, olcott wrote:
>>>>>> William T. Parry, Entailment Logics
>>>>>> gets rid of Disjunction introduction
>>>>>> to prevent the principle of explosion
>>>>>>
>>>>>> A simple logical matrix and sequent calculus for
>>>>>> Parry’s logic of Analytic Implication
>>>>>>
>>>>>> The main and distinctive feature of PAI (and of the many
>>>>>> systems of analytic implication belonging to its ilk) is
>>>>>> the rejection of the classically valid principle of Addition,
>>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>>> other words, the principle leading from a formula ϕ to a
>>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>>> formula. Parry blamed on this principle the derivability
>>>>>> of the paradoxes of strict implication—given that it is
>>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>>
>>>>>> https://philarchive.org/archive/SZMASL
>>>>>
>>>>> He also gets rid of an efficient way to convince people who don't
>>>>> understand much of logic.
>>>>>
>>>>
>>>> As I recently showed in another post. I figured
>>>> all this out on my own. I didn't even know that
>>>> anyone else ever did this. I just knew that when
>>>> trying to find out what is deduced from a set of
>>>> premises that you cannot pop in another sentence
>>>> from out of nowhere and get a correct conclusion.
>>>
>>>
>>> Given that the following statement is true:
>>>
>>> --------------------------------------
>>> There is a Walmart bag at the deepest point of the Mariana Trench.
>>> --------------------------------------
>>>
>>> And the following statement has an unknown truth value:
>>> --------------------------------------
>>> There is a Walmart bag at the deepest point of the Mariana Trench.
>>> --------------------------------------
>>>
>>> When put together in the following natural language sentence:
>>>
>>> --------------------------------------
>>> At least one of the following statements is true:
>>> - Earth is the third planet from the sun.
>>> - There is a Walmart bag at the deepest point of the Mariana Trench.
>>> --------------------------------------
>>>
>>> Is the condition "At least one of the following statements is true" 
>>> satisfied?
>>>
>>
>> You either are not bright enough to understand
>> the deep meaning of Disjunction introduction or
>> you are playing head games. Unless you want an
>> honest dialogue please fuck off.
> 
> Why is it a head game?

Because you are playing Olcott's game.


-- 
Mikko

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#645722

FromMikko <mikko.levanto@iki.fi>
Date2026-06-27 10:08 +0300
Message-ID<111nssr$13erk$1@dont-email.me>
In reply to#645678
On 26/06/2026 15:49, olcott wrote:
> On 6/26/2026 1:49 AM, Mikko wrote:
>> On 26/06/2026 04:32, olcott wrote:
>>> William T. Parry, Entailment Logics
>>> gets rid of Disjunction introduction
>>> to prevent the principle of explosion
>>>
>>> A simple logical matrix and sequent calculus for
>>> Parry’s logic of Analytic Implication
>>>
>>> The main and distinctive feature of PAI (and of the many
>>> systems of analytic implication belonging to its ilk) is
>>> the rejection of the classically valid principle of Addition,
>>> sometimes also referred to as Disjunction Introduction. In
>>> other words, the principle leading from a formula ϕ to a
>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>> formula. Parry blamed on this principle the derivability
>>> of the paradoxes of strict implication—given that it is
>>> famously featured in Lewis’ derivation of an arbitrary
>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>
>>> https://philarchive.org/archive/SZMASL
>>
>> He also gets rid of an efficient way to convince people who don't
>> understand much of logic.
> 
> As I recently showed in another post. I figured
> all this out on my own. I didn't even know that
> anyone else ever did this. I just knew that when
> trying to find out what is deduced from a set of
> premises that you cannot pop in another sentence
> from out of nowhere and get a correct conclusion.
> 
> By popping in another sentence from out of nowhere
> (as it shows above) the principle of explosion is
> derived.

The usual meaning of proof is a sequence of statement where 
eachstatement either is a premis or follows from one or more earlier
statements by a truth-preserving transformation. Or-intrduction
discussed above is a truth-preserving transformation.

-- 
Mikko

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#645737

Frompolcott <polcott333@gmail.com>
Date2026-06-27 10:11 -0500
Message-ID<111op6l$1kbl6$1@solani.org>
In reply to#645722
On 6/27/2026 2:08 AM, Mikko wrote:
> On 26/06/2026 15:49, olcott wrote:
>> On 6/26/2026 1:49 AM, Mikko wrote:
>>> On 26/06/2026 04:32, olcott wrote:
>>>> William T. Parry, Entailment Logics
>>>> gets rid of Disjunction introduction
>>>> to prevent the principle of explosion
>>>>
>>>> A simple logical matrix and sequent calculus for
>>>> Parry’s logic of Analytic Implication
>>>>
>>>> The main and distinctive feature of PAI (and of the many
>>>> systems of analytic implication belonging to its ilk) is
>>>> the rejection of the classically valid principle of Addition,
>>>> sometimes also referred to as Disjunction Introduction. In
>>>> other words, the principle leading from a formula ϕ to a
>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>> formula. Parry blamed on this principle the derivability
>>>> of the paradoxes of strict implication—given that it is
>>>> famously featured in Lewis’ derivation of an arbitrary
>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>
>>>> https://philarchive.org/archive/SZMASL
>>>
>>> He also gets rid of an efficient way to convince people who don't
>>> understand much of logic.
>>
>> As I recently showed in another post. I figured
>> all this out on my own. I didn't even know that
>> anyone else ever did this. I just knew that when
>> trying to find out what is deduced from a set of
>> premises that you cannot pop in another sentence
>> from out of nowhere and get a correct conclusion.
>>
>> By popping in another sentence from out of nowhere
>> (as it shows above) the principle of explosion is
>> derived.
> 
> The usual meaning of proof is a sequence of statement where 
> eachstatement either is a premis or follows from one or more earlier
> statements 

Except with Disjunction introduction, that is its problem.

> by a truth-preserving transformation. Or-intrduction
> discussed above is a truth-preserving transformation.
> 

We know that "Not all lemons are yellow", as it has been assumed to be true.

We know that "All lemons are yellow", as it has been assumed to be true.

Therefore, the two-part statement "All lemons are yellow or unicorns exist"

https://en.wikipedia.org/wiki/Principle_of_explosion

I don't get why this was not tossed out as a psychotic
break from reality the first moment that the first
person thought of the POE. Human minds must be hard
wired with short-circuits.

-- 
Copyright 2026 Olcott

My 28 year goal has been to make
"true on the basis of meaning expressed in language"
reliably computable for the entire body of knowledge.
The complete structure of this system is now defined.

The entire body of knowledge expressed in language is
comprised of two types of relations between finite strings:
(a) *Axioms* Expressions of language that are stipulated to be true.

My system bridges the analytic/synthetic distinction by
expressly encoding all empirical "atomic facts" in a formal
language such as CycL of the Cyc project.

(b) *Inference Rules* Expressions of language that are semantically
entailed syntactically from (a) and/or (b).

[toc] | [prev] | [next] | [standalone]


#645748

Fromdbush <dbush.mobile@gmail.com>
Date2026-06-27 13:54 -0400
Message-ID<111p2od$34avj$1@dont-email.me>
In reply to#645737
On 6/27/2026 11:11 AM, polcott wrote:
> On 6/27/2026 2:08 AM, Mikko wrote:
>> On 26/06/2026 15:49, olcott wrote:
>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>> On 26/06/2026 04:32, olcott wrote:
>>>>> William T. Parry, Entailment Logics
>>>>> gets rid of Disjunction introduction
>>>>> to prevent the principle of explosion
>>>>>
>>>>> A simple logical matrix and sequent calculus for
>>>>> Parry’s logic of Analytic Implication
>>>>>
>>>>> The main and distinctive feature of PAI (and of the many
>>>>> systems of analytic implication belonging to its ilk) is
>>>>> the rejection of the classically valid principle of Addition,
>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>> other words, the principle leading from a formula ϕ to a
>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>> formula. Parry blamed on this principle the derivability
>>>>> of the paradoxes of strict implication—given that it is
>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>
>>>>> https://philarchive.org/archive/SZMASL
>>>>
>>>> He also gets rid of an efficient way to convince people who don't
>>>> understand much of logic.
>>>
>>> As I recently showed in another post. I figured
>>> all this out on my own. I didn't even know that
>>> anyone else ever did this. I just knew that when
>>> trying to find out what is deduced from a set of
>>> premises that you cannot pop in another sentence
>>> from out of nowhere and get a correct conclusion.
>>>
>>> By popping in another sentence from out of nowhere
>>> (as it shows above) the principle of explosion is
>>> derived.
>>
>> The usual meaning of proof is a sequence of statement where 
>> eachstatement either is a premis or follows from one or more earlier
>> statements 
> 
> Except with Disjunction introduction, that is its problem.

So you're saying that in the following natural language statement:

--------------------------------------
At least one of the following statements is true:
- Earth is the third planet from the sun.
- <X>
--------------------------------------

Where <X> is any natural language statement, there exists a statement X 
such that the condition "At least one of the following statements is 
true" is false.

Name it.



[toc] | [prev] | [next] | [standalone]


#645750

Fromolcott <polcott333@gmail.com>
Date2026-06-27 13:03 -0500
Message-ID<111p38l$34i8f$1@dont-email.me>
In reply to#645748
On 6/27/2026 12:54 PM, dbush wrote:
> On 6/27/2026 11:11 AM, polcott wrote:
>> On 6/27/2026 2:08 AM, Mikko wrote:
>>> On 26/06/2026 15:49, olcott wrote:
>>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>>> On 26/06/2026 04:32, olcott wrote:
>>>>>> William T. Parry, Entailment Logics
>>>>>> gets rid of Disjunction introduction
>>>>>> to prevent the principle of explosion
>>>>>>
>>>>>> A simple logical matrix and sequent calculus for
>>>>>> Parry’s logic of Analytic Implication
>>>>>>
>>>>>> The main and distinctive feature of PAI (and of the many
>>>>>> systems of analytic implication belonging to its ilk) is
>>>>>> the rejection of the classically valid principle of Addition,
>>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>>> other words, the principle leading from a formula ϕ to a
>>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>>> formula. Parry blamed on this principle the derivability
>>>>>> of the paradoxes of strict implication—given that it is
>>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>>
>>>>>> https://philarchive.org/archive/SZMASL
>>>>>
>>>>> He also gets rid of an efficient way to convince people who don't
>>>>> understand much of logic.
>>>>
>>>> As I recently showed in another post. I figured
>>>> all this out on my own. I didn't even know that
>>>> anyone else ever did this. I just knew that when
>>>> trying to find out what is deduced from a set of
>>>> premises that you cannot pop in another sentence
>>>> from out of nowhere and get a correct conclusion.
>>>>
>>>> By popping in another sentence from out of nowhere
>>>> (as it shows above) the principle of explosion is
>>>> derived.
>>>
>>> The usual meaning of proof is a sequence of statement where 
>>> eachstatement either is a premis or follows from one or more earlier
>>> statements 
>>
>> Except with Disjunction introduction, that is its problem.
> 
> So you're saying that in the following natural language statement:
> 

It is a key issue in that it creates the
psychotic break from reality known as the
Principle of Explosion, otherwise it may
make no difference at all.

Stay on topic or I will block you.


-- 
Copyright 2026 Olcott

My 28 year goal has been to make
"true on the basis of meaning expressed in language"
reliably computable for the entire body of knowledge.
The complete structure of this system is now defined.

The entire body of knowledge expressed in language is
comprised of two types of relations between finite strings:
(a) *Axioms* Expressions of language that are stipulated to be true.

My system bridges the analytic/synthetic distinction by
expressly encoding all empirical "atomic facts" in a formal
language such as CycL of the Cyc project.

(b) *Inference Rules* Expressions of language that are semantically
entailed syntactically from (a) and/or (b).

[toc] | [prev] | [next] | [standalone]


#645751

Fromdbush <dbush.mobile@gmail.com>
Date2026-06-27 14:24 -0400
Message-ID<111p4gc$34asl$1@dont-email.me>
In reply to#645750
On 6/27/2026 2:03 PM, olcott wrote:
> On 6/27/2026 12:54 PM, dbush wrote:
>> On 6/27/2026 11:11 AM, polcott wrote:
>>> On 6/27/2026 2:08 AM, Mikko wrote:
>>>> On 26/06/2026 15:49, olcott wrote:
>>>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>>>> On 26/06/2026 04:32, olcott wrote:
>>>>>>> William T. Parry, Entailment Logics
>>>>>>> gets rid of Disjunction introduction
>>>>>>> to prevent the principle of explosion
>>>>>>>
>>>>>>> A simple logical matrix and sequent calculus for
>>>>>>> Parry’s logic of Analytic Implication
>>>>>>>
>>>>>>> The main and distinctive feature of PAI (and of the many
>>>>>>> systems of analytic implication belonging to its ilk) is
>>>>>>> the rejection of the classically valid principle of Addition,
>>>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>>>> other words, the principle leading from a formula ϕ to a
>>>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>>>> formula. Parry blamed on this principle the derivability
>>>>>>> of the paradoxes of strict implication—given that it is
>>>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>>>
>>>>>>> https://philarchive.org/archive/SZMASL
>>>>>>
>>>>>> He also gets rid of an efficient way to convince people who don't
>>>>>> understand much of logic.
>>>>>
>>>>> As I recently showed in another post. I figured
>>>>> all this out on my own. I didn't even know that
>>>>> anyone else ever did this. I just knew that when
>>>>> trying to find out what is deduced from a set of
>>>>> premises that you cannot pop in another sentence
>>>>> from out of nowhere and get a correct conclusion.
>>>>>
>>>>> By popping in another sentence from out of nowhere
>>>>> (as it shows above) the principle of explosion is
>>>>> derived.
>>>>
>>>> The usual meaning of proof is a sequence of statement where 
>>>> eachstatement either is a premis or follows from one or more earlier
>>>> statements 
>>>
>>> Except with Disjunction introduction, that is its problem.
>>
>> So you're saying that in the following natural language statement:
>>
> 
> It is a key issue in that it creates the
> psychotic break from reality known as the
> Principle of Explosion, otherwise it may
> make no difference at all.
> 
> Stay on topic or I will block you.

Explain in detail how the below which you dishonestly trimmed is off-topic.

Failure to do so in your next reply or within one hour of your next post 
in this newsgroup will be taken as your official, on-the-record 
admission that Disjunction introduction is valid, and by extension that 
so is the Principle of Explosion.

>> 
>> --------------------------------------
>> At least one of the following statements is true:
>> - Earth is the third planet from the sun.
>> - <X>
>> --------------------------------------
>> 
>> Where <X> is any natural language statement, there exists a statement X 
>> such that the condition "At least one of the following statements is 
>> true" is false.
>> 
>> Name it. 

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#645753

Fromolcott <polcott333@gmail.com>
Date2026-06-27 13:29 -0500
Message-ID<111p4qo$3504e$2@dont-email.me>
In reply to#645751
On 6/27/2026 1:24 PM, dbush wrote:
> On 6/27/2026 2:03 PM, olcott wrote:
>> On 6/27/2026 12:54 PM, dbush wrote:
>>> On 6/27/2026 11:11 AM, polcott wrote:
>>>> On 6/27/2026 2:08 AM, Mikko wrote:
>>>>> On 26/06/2026 15:49, olcott wrote:
>>>>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>>>>> On 26/06/2026 04:32, olcott wrote:
>>>>>>>> William T. Parry, Entailment Logics
>>>>>>>> gets rid of Disjunction introduction
>>>>>>>> to prevent the principle of explosion
>>>>>>>>
>>>>>>>> A simple logical matrix and sequent calculus for
>>>>>>>> Parry’s logic of Analytic Implication
>>>>>>>>
>>>>>>>> The main and distinctive feature of PAI (and of the many
>>>>>>>> systems of analytic implication belonging to its ilk) is
>>>>>>>> the rejection of the classically valid principle of Addition,
>>>>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>>>>> other words, the principle leading from a formula ϕ to a
>>>>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>>>>> formula. Parry blamed on this principle the derivability
>>>>>>>> of the paradoxes of strict implication—given that it is
>>>>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>>>>
>>>>>>>> https://philarchive.org/archive/SZMASL
>>>>>>>
>>>>>>> He also gets rid of an efficient way to convince people who don't
>>>>>>> understand much of logic.
>>>>>>
>>>>>> As I recently showed in another post. I figured
>>>>>> all this out on my own. I didn't even know that
>>>>>> anyone else ever did this. I just knew that when
>>>>>> trying to find out what is deduced from a set of
>>>>>> premises that you cannot pop in another sentence
>>>>>> from out of nowhere and get a correct conclusion.
>>>>>>
>>>>>> By popping in another sentence from out of nowhere
>>>>>> (as it shows above) the principle of explosion is
>>>>>> derived.
>>>>>
>>>>> The usual meaning of proof is a sequence of statement where 
>>>>> eachstatement either is a premis or follows from one or more earlier
>>>>> statements 
>>>>
>>>> Except with Disjunction introduction, that is its problem.
>>>
>>> So you're saying that in the following natural language statement:
>>>
>>
>> It is a key issue in that it creates the
>> psychotic break from reality known as the
>> Principle of Explosion, otherwise it may
>> make no difference at all.
>>
>> Stay on topic or I will block you.
> 
> Explain in detail how the below which you dishonestly trimmed is off-topic.
> 

The topic is how Disjunction introduction enables the
Principle of Explosion.

-- 
Copyright 2026 Olcott

My 28 year goal has been to make
"true on the basis of meaning expressed in language"
reliably computable for the entire body of knowledge.
The complete structure of this system is now defined.

The entire body of knowledge expressed in language is
comprised of two types of relations between finite strings:
(a) *Axioms* Expressions of language that are stipulated to be true.

My system bridges the analytic/synthetic distinction by
expressly encoding all empirical "atomic facts" in a formal
language such as CycL of the Cyc project.

(b) *Inference Rules* Expressions of language that are semantically
entailed syntactically from (a) and/or (b).

[toc] | [prev] | [next] | [standalone]


#645755

Fromdbush <dbush.mobile@gmail.com>
Date2026-06-27 14:34 -0400
Message-ID<111p534$34asl$3@dont-email.me>
In reply to#645753
On 6/27/2026 2:29 PM, olcott wrote:
> On 6/27/2026 1:24 PM, dbush wrote:
>> On 6/27/2026 2:03 PM, olcott wrote:
>>> On 6/27/2026 12:54 PM, dbush wrote:
>>>> On 6/27/2026 11:11 AM, polcott wrote:
>>>>> On 6/27/2026 2:08 AM, Mikko wrote:
>>>>>> On 26/06/2026 15:49, olcott wrote:
>>>>>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>>>>>> On 26/06/2026 04:32, olcott wrote:
>>>>>>>>> William T. Parry, Entailment Logics
>>>>>>>>> gets rid of Disjunction introduction
>>>>>>>>> to prevent the principle of explosion
>>>>>>>>>
>>>>>>>>> A simple logical matrix and sequent calculus for
>>>>>>>>> Parry’s logic of Analytic Implication
>>>>>>>>>
>>>>>>>>> The main and distinctive feature of PAI (and of the many
>>>>>>>>> systems of analytic implication belonging to its ilk) is
>>>>>>>>> the rejection of the classically valid principle of Addition,
>>>>>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>>>>>> other words, the principle leading from a formula ϕ to a
>>>>>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>>>>>> formula. Parry blamed on this principle the derivability
>>>>>>>>> of the paradoxes of strict implication—given that it is
>>>>>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>>>>>
>>>>>>>>> https://philarchive.org/archive/SZMASL
>>>>>>>>
>>>>>>>> He also gets rid of an efficient way to convince people who don't
>>>>>>>> understand much of logic.
>>>>>>>
>>>>>>> As I recently showed in another post. I figured
>>>>>>> all this out on my own. I didn't even know that
>>>>>>> anyone else ever did this. I just knew that when
>>>>>>> trying to find out what is deduced from a set of
>>>>>>> premises that you cannot pop in another sentence
>>>>>>> from out of nowhere and get a correct conclusion.
>>>>>>>
>>>>>>> By popping in another sentence from out of nowhere
>>>>>>> (as it shows above) the principle of explosion is
>>>>>>> derived.
>>>>>>
>>>>>> The usual meaning of proof is a sequence of statement where 
>>>>>> eachstatement either is a premis or follows from one or more earlier
>>>>>> statements 
>>>>>
>>>>> Except with Disjunction introduction, that is its problem.
>>>>
>>>> So you're saying that in the following natural language statement:
>>>>
>>>
>>> It is a key issue in that it creates the
>>> psychotic break from reality known as the
>>> Principle of Explosion, otherwise it may
>>> make no difference at all.
>>>
>>> Stay on topic or I will block you.
>>
>> Explain in detail how the below which you dishonestly trimmed is off- 
>> topic.
>>
> 
> The topic is how Disjunction introduction enables the
> Principle of Explosion.
> 

Rejected, as you not liking the result doesn't make it invalid.

Through a series of truth preserving operations, when a contradiction is 
given as true, any statement can be proven as true.

The principle of explosion is a demonstration of *why* a formal system 
whose axioms lead to a contradiction is useless.

The only reason someone would want to get rid of the principle of 
explosion is to be able to use a system that has a contradiction.

[toc] | [prev] | [next] | [standalone]


#645782

Fromdbush <dbush.mobile@gmail.com>
Date2026-06-27 18:30 -0400
Message-ID<111piuk$38fsa$1@dont-email.me>
In reply to#645755
On 6/27/2026 2:34 PM, dbush wrote:
> On 6/27/2026 2:29 PM, olcott wrote:
>> On 6/27/2026 1:24 PM, dbush wrote:
>>> On 6/27/2026 2:03 PM, olcott wrote:
>>>> On 6/27/2026 12:54 PM, dbush wrote:
>>>>> On 6/27/2026 11:11 AM, polcott wrote:
>>>>>> On 6/27/2026 2:08 AM, Mikko wrote:
>>>>>>> On 26/06/2026 15:49, olcott wrote:
>>>>>>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>>>>>>> On 26/06/2026 04:32, olcott wrote:
>>>>>>>>>> William T. Parry, Entailment Logics
>>>>>>>>>> gets rid of Disjunction introduction
>>>>>>>>>> to prevent the principle of explosion
>>>>>>>>>>
>>>>>>>>>> A simple logical matrix and sequent calculus for
>>>>>>>>>> Parry’s logic of Analytic Implication
>>>>>>>>>>
>>>>>>>>>> The main and distinctive feature of PAI (and of the many
>>>>>>>>>> systems of analytic implication belonging to its ilk) is
>>>>>>>>>> the rejection of the classically valid principle of Addition,
>>>>>>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>>>>>>> other words, the principle leading from a formula ϕ to a
>>>>>>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>>>>>>> formula. Parry blamed on this principle the derivability
>>>>>>>>>> of the paradoxes of strict implication—given that it is
>>>>>>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>>>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>>>>>>
>>>>>>>>>> https://philarchive.org/archive/SZMASL
>>>>>>>>>
>>>>>>>>> He also gets rid of an efficient way to convince people who don't
>>>>>>>>> understand much of logic.
>>>>>>>>
>>>>>>>> As I recently showed in another post. I figured
>>>>>>>> all this out on my own. I didn't even know that
>>>>>>>> anyone else ever did this. I just knew that when
>>>>>>>> trying to find out what is deduced from a set of
>>>>>>>> premises that you cannot pop in another sentence
>>>>>>>> from out of nowhere and get a correct conclusion.
>>>>>>>>
>>>>>>>> By popping in another sentence from out of nowhere
>>>>>>>> (as it shows above) the principle of explosion is
>>>>>>>> derived.
>>>>>>>
>>>>>>> The usual meaning of proof is a sequence of statement where 
>>>>>>> eachstatement either is a premis or follows from one or more earlier
>>>>>>> statements 
>>>>>>
>>>>>> Except with Disjunction introduction, that is its problem.
>>>>>
>>>>> So you're saying that in the following natural language statement:
>>>>>
>>>>
>>>> It is a key issue in that it creates the
>>>> psychotic break from reality known as the
>>>> Principle of Explosion, otherwise it may
>>>> make no difference at all.
>>>>
>>>> Stay on topic or I will block you.
>>>
>>> Explain in detail how the below which you dishonestly trimmed is off- 
>>> topic.
>>>
>>
>> The topic is how Disjunction introduction enables the
>> Principle of Explosion.
>>
> 
> Rejected, as you not liking the result doesn't make it invalid.
> 
> Through a series of truth preserving operations, when a contradiction is 
> given as true, any statement can be proven as true.
> 
> The principle of explosion is a demonstration of *why* a formal system 
> whose axioms lead to a contradiction is useless.
> 
> The only reason someone would want to get rid of the principle of 
> explosion is to be able to use a system that has a contradiction.
> 

Given that you still haven't responded to this, I (and others reading 
this) can only conclude that you agree that Disjunction introduction is 
valid, and therefore so is the Principle of Explosion.

[toc] | [prev] | [next] | [standalone]


#645785

Fromolcott <polcott333@gmail.com>
Date2026-06-27 17:40 -0500
Message-ID<111pjhh$38o7h$1@dont-email.me>
In reply to#645755
On 6/27/2026 1:34 PM, dbush wrote:
> On 6/27/2026 2:29 PM, olcott wrote:
>> On 6/27/2026 1:24 PM, dbush wrote:
>>> On 6/27/2026 2:03 PM, olcott wrote:
>>>> On 6/27/2026 12:54 PM, dbush wrote:
>>>>> On 6/27/2026 11:11 AM, polcott wrote:
>>>>>> On 6/27/2026 2:08 AM, Mikko wrote:
>>>>>>> On 26/06/2026 15:49, olcott wrote:
>>>>>>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>>>>>>> On 26/06/2026 04:32, olcott wrote:
>>>>>>>>>> William T. Parry, Entailment Logics
>>>>>>>>>> gets rid of Disjunction introduction
>>>>>>>>>> to prevent the principle of explosion
>>>>>>>>>>
>>>>>>>>>> A simple logical matrix and sequent calculus for
>>>>>>>>>> Parry’s logic of Analytic Implication
>>>>>>>>>>
>>>>>>>>>> The main and distinctive feature of PAI (and of the many
>>>>>>>>>> systems of analytic implication belonging to its ilk) is
>>>>>>>>>> the rejection of the classically valid principle of Addition,
>>>>>>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>>>>>>> other words, the principle leading from a formula ϕ to a
>>>>>>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>>>>>>> formula. Parry blamed on this principle the derivability
>>>>>>>>>> of the paradoxes of strict implication—given that it is
>>>>>>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>>>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>>>>>>
>>>>>>>>>> https://philarchive.org/archive/SZMASL
>>>>>>>>>
>>>>>>>>> He also gets rid of an efficient way to convince people who don't
>>>>>>>>> understand much of logic.
>>>>>>>>
>>>>>>>> As I recently showed in another post. I figured
>>>>>>>> all this out on my own. I didn't even know that
>>>>>>>> anyone else ever did this. I just knew that when
>>>>>>>> trying to find out what is deduced from a set of
>>>>>>>> premises that you cannot pop in another sentence
>>>>>>>> from out of nowhere and get a correct conclusion.
>>>>>>>>
>>>>>>>> By popping in another sentence from out of nowhere
>>>>>>>> (as it shows above) the principle of explosion is
>>>>>>>> derived.
>>>>>>>
>>>>>>> The usual meaning of proof is a sequence of statement where 
>>>>>>> eachstatement either is a premis or follows from one or more earlier
>>>>>>> statements 
>>>>>>
>>>>>> Except with Disjunction introduction, that is its problem.
>>>>>
>>>>> So you're saying that in the following natural language statement:
>>>>>
>>>>
>>>> It is a key issue in that it creates the
>>>> psychotic break from reality known as the
>>>> Principle of Explosion, otherwise it may
>>>> make no difference at all.
>>>>
>>>> Stay on topic or I will block you.
>>>
>>> Explain in detail how the below which you dishonestly trimmed is off- 
>>> topic.
>>>
>>
>> The topic is how Disjunction introduction enables the
>> Principle of Explosion.
>>
> 
> Rejected, as you not liking the result doesn't make it invalid.
> 
> Through a series of truth preserving operations, when a contradiction is 
> given as true, any statement can be proven as true.
> 
> The principle of explosion is a demonstration of *why* a formal system 
> whose axioms lead to a contradiction is useless.
> 
> The only reason someone would want to get rid of the principle of 
> explosion is to be able to use a system that has a contradiction.
> 

My reason to get rid of the principle of explosion
it to get rid of anything and everything that prevents
infallibly correct reasoning.

-- 
Copyright 2026 Olcott

My 28 year goal has been to make
"true on the basis of meaning expressed in language"
reliably computable for the entire body of knowledge.
The complete structure of this system is now defined.

The entire body of knowledge expressed in language is
comprised of two types of relations between finite strings:
(a) *Axioms* Expressions of language that are stipulated to be true.

My system bridges the analytic/synthetic distinction by
expressly encoding all empirical "atomic facts" in a formal
language such as CycL of the Cyc project.

(b) *Inference Rules* Expressions of language that are semantically
entailed syntactically from (a) and/or (b).

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#645788

Fromdbush <dbush.mobile@gmail.com>
Date2026-06-27 18:52 -0400
Message-ID<111pk78$380jl$4@dont-email.me>
In reply to#645785
On 6/27/2026 6:40 PM, olcott wrote:
> On 6/27/2026 1:34 PM, dbush wrote:
>> On 6/27/2026 2:29 PM, olcott wrote:
>>> On 6/27/2026 1:24 PM, dbush wrote:
>>>> On 6/27/2026 2:03 PM, olcott wrote:
>>>>> On 6/27/2026 12:54 PM, dbush wrote:
>>>>>> On 6/27/2026 11:11 AM, polcott wrote:
>>>>>>> On 6/27/2026 2:08 AM, Mikko wrote:
>>>>>>>> On 26/06/2026 15:49, olcott wrote:
>>>>>>>>> On 6/26/2026 1:49 AM, Mikko wrote:
>>>>>>>>>> On 26/06/2026 04:32, olcott wrote:
>>>>>>>>>>> William T. Parry, Entailment Logics
>>>>>>>>>>> gets rid of Disjunction introduction
>>>>>>>>>>> to prevent the principle of explosion
>>>>>>>>>>>
>>>>>>>>>>> A simple logical matrix and sequent calculus for
>>>>>>>>>>> Parry’s logic of Analytic Implication
>>>>>>>>>>>
>>>>>>>>>>> The main and distinctive feature of PAI (and of the many
>>>>>>>>>>> systems of analytic implication belonging to its ilk) is
>>>>>>>>>>> the rejection of the classically valid principle of Addition,
>>>>>>>>>>> sometimes also referred to as Disjunction Introduction. In
>>>>>>>>>>> other words, the principle leading from a formula ϕ to a
>>>>>>>>>>> disjunction of the form ϕ ∨ ψ, where ψ is an arbitrary
>>>>>>>>>>> formula. Parry blamed on this principle the derivability
>>>>>>>>>>> of the paradoxes of strict implication—given that it is
>>>>>>>>>>> famously featured in Lewis’ derivation of an arbitrary
>>>>>>>>>>> formula ψ from a contradiction of the form ϕ ∧ ¬ϕ.
>>>>>>>>>>>
>>>>>>>>>>> https://philarchive.org/archive/SZMASL
>>>>>>>>>>
>>>>>>>>>> He also gets rid of an efficient way to convince people who don't
>>>>>>>>>> understand much of logic.
>>>>>>>>>
>>>>>>>>> As I recently showed in another post. I figured
>>>>>>>>> all this out on my own. I didn't even know that
>>>>>>>>> anyone else ever did this. I just knew that when
>>>>>>>>> trying to find out what is deduced from a set of
>>>>>>>>> premises that you cannot pop in another sentence
>>>>>>>>> from out of nowhere and get a correct conclusion.
>>>>>>>>>
>>>>>>>>> By popping in another sentence from out of nowhere
>>>>>>>>> (as it shows above) the principle of explosion is
>>>>>>>>> derived.
>>>>>>>>
>>>>>>>> The usual meaning of proof is a sequence of statement where 
>>>>>>>> eachstatement either is a premis or follows from one or more 
>>>>>>>> earlier
>>>>>>>> statements 
>>>>>>>
>>>>>>> Except with Disjunction introduction, that is its problem.
>>>>>>
>>>>>> So you're saying that in the following natural language statement:
>>>>>>
>>>>>
>>>>> It is a key issue in that it creates the
>>>>> psychotic break from reality known as the
>>>>> Principle of Explosion, otherwise it may
>>>>> make no difference at all.
>>>>>
>>>>> Stay on topic or I will block you.
>>>>
>>>> Explain in detail how the below which you dishonestly trimmed is 
>>>> off- topic.
>>>>
>>>
>>> The topic is how Disjunction introduction enables the
>>> Principle of Explosion.
>>>
>>
>> Rejected, as you not liking the result doesn't make it invalid.
>>
>> Through a series of truth preserving operations, when a contradiction 
>> is given as true, any statement can be proven as true.
>>
>> The principle of explosion is a demonstration of *why* a formal system 
>> whose axioms lead to a contradiction is useless.
>>
>> The only reason someone would want to get rid of the principle of 
>> explosion is to be able to use a system that has a contradiction.
>>
> 
> My reason to get rid of the principle of explosion
> it to get rid of anything and everything that prevents
> infallibly correct reasoning.
> 

If you get rid of the principle of explosion, the law of 
non-contradiction goes away as it looses its basis.

We *want* the principle of explosion because it shows us what can happen 
when we have a system that can prove a contradiction.

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