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Re: Halting Problem Solved (Black Box Decider Theory)

From Newberry <newberryxy@gmail.com>
Newsgroups comp.theory
Subject Re: Halting Problem Solved (Black Box Decider Theory)
Date 2021-07-20 23:26 -0700
Organization A noiseless patient Spider
Message-ID <sd8enj$utp$1@dont-email.me> (permalink)
References (1 earlier) <87h7guqfk3.fsf@bsb.me.uk> <20210716193144.0000033b@reddwarf.jmc> <scsnmk$25df$3@news.muc.de> <sd4ncl$2q3$1@dont-email.me> <21ac59f5-cf14-4c78-8706-d42d9af9e110n@googlegroups.com>

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dklei...@gmail.com wrote:
> On Monday, July 19, 2021 at 1:30:16 PM UTC-7, Newberry wrote:
>
>> Here C_n(*) is a program with index n in some exhaustive
>> enumeration of all possible programs.
>
> I think "all possible programs" is not enumerable. The same old
> diagonal argument should apply.

They certainly are enumerable. The diagonal argument has nothing to do 
with the enumeration of computer programs, URM programs or Turing 
machines. In fact as Richard Damon pointed out the diagonal argument
presumes that programs are enumerable.

BTW, the idea of A(n,m) and C_k(n) such that
a) If A(n,m) halts, then C_n(m) diverges, and
b) C_k(n) = A(n,n)
comes from Roger Penrose, 'Shadows of the Mind', pp. 73-75

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Thread

Halting Problem Solved (Black Box Decider Theory) Mr Flibble <flibble@reddwarf.jmc> - 2021-07-16 19:00 +0100
  Re: Halting Problem Solved (Black Box Decider Theory) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-16 19:28 +0100
    Re: Halting Problem Solved (Black Box Decider Theory) Mr Flibble <flibble@reddwarf.jmc> - 2021-07-16 19:31 +0100
      Re: Halting Problem Solved (Black Box Decider Theory) olcott <NoOne@NoWhere.com> - 2021-07-16 14:24 -0500
      Re: Halting Problem Solved (Black Box Decider Theory) Alan Mackenzie <acm@muc.de> - 2021-07-16 19:46 +0000
        Re: Halting Problem Solved (Black Box Decider Theory) olcott <NoOne@NoWhere.com> - 2021-07-16 14:56 -0500
        Re: Halting Problem Solved (Black Box Decider Theory) Mr Flibble <flibble@reddwarf.jmc> - 2021-07-16 20:56 +0100
          Re: Halting Problem Solved (Black Box Decider Theory) olcott <NoOne@NoWhere.com> - 2021-07-16 15:00 -0500
            Re: Halting Problem Solved (Black Box Decider Theory) Alan Mackenzie <acm@muc.de> - 2021-07-16 22:42 +0000
          Re: Halting Problem Solved (Black Box Decider Theory) Alan Mackenzie <acm@muc.de> - 2021-07-16 22:24 +0000
            Re: Halting Problem Solved (Black Box Decider Theory) olcott <NoOne@NoWhere.com> - 2021-07-16 17:32 -0500
              Re: Halting Problem Solved (Black Box Decider Theory) Alan Mackenzie <acm@muc.de> - 2021-07-16 22:54 +0000
                Re: Halting Problem Solved (Black Box Decider Theory)[ Strachey P ] olcott <NoOne@NoWhere.com> - 2021-07-16 23:15 -0500
                Re: Halting Problem Solved (Black Box Decider Theory)[ Strachey P ] Alan Mackenzie <acm@muc.de> - 2021-07-17 09:10 +0000
                Re: Halting Problem Solved (Black Box Decider Theory)[ Strachey P ] olcott <NoOne@NoWhere.com> - 2021-07-17 09:37 -0500
                Re: Halting Problem Solved (Black Box Decider Theory)[ Strachey P ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-17 17:24 +0100
                Re: Halting Problem Solved (Black Box Decider Theory)[ Strachey P ] olcott <NoOne@NoWhere.com> - 2021-07-17 12:06 -0500
                Re: Halting Problem Solved (Black Box Decider Theory)[ Strachey P ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-18 02:45 +0100
                Re: Halting Problem Solved (Black Box Decider Theory)[ Strachey P ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-18 12:26 +0100
                Re: Halting Problem Solved (Black Box Decider Theory)[ Strachey P ] olcott <NoOne@NoWhere.com> - 2021-07-19 09:41 -0500
                Re: Halting Problem Solved (Black Box Decider Theory)[ Strachey P ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-20 01:36 +0100
                Re: Halting Problem Solved (Black Box Decider Theory)[ Strachey P ] Alan Mackenzie <acm@muc.de> - 2021-07-17 17:11 +0000
                Re: Halting Problem Solved (Black Box Decider Theory)[ Strachey P ] Richard Damon <Richard@Damon-Family.org> - 2021-07-17 07:40 -0600
              Re: Halting Problem Solved (Black Box Decider Theory) David Brown <david.brown@hesbynett.no> - 2021-07-17 16:47 +0200
          Re: Halting Problem Solved (Black Box Decider Theory) David Brown <david.brown@hesbynett.no> - 2021-07-17 16:37 +0200
            Re: Halting Problem Solved (Black Box Decider Theory) [ Flibble is correct ] olcott <NoOne@NoWhere.com> - 2021-07-17 11:40 -0500
              Re: Halting Problem Solved (Black Box Decider Theory) [ Flibble is correct ] David Brown <david.brown@hesbynett.no> - 2021-07-18 11:43 +0200
                Re: Halting Problem Solved Andy Walker <anw@cuboid.co.uk> - 2021-07-18 12:13 +0100
                Re: Halting Problem Solved David Brown <david.brown@hesbynett.no> - 2021-07-18 15:15 +0200
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-18 07:42 -0600
                Re: Halting Problem Solved David Brown <david.brown@hesbynett.no> - 2021-07-18 17:02 +0200
                Re: Halting Problem Solved Jeff Barnett <jbb@notatt.com> - 2021-07-18 10:12 -0600
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-18 13:22 -0500
                Re: Halting Problem Solved Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-07-18 12:30 -0700
                Re: Halting Problem Solved [ Pathological self-reference error (Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-19 08:41 -0500
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-18 19:55 -0700
                Re: Halting Problem Solved David Brown <david.brown@hesbynett.no> - 2021-07-18 21:00 +0200
                Re: Halting Problem Solved Jeff Barnett <jbb@notatt.com> - 2021-07-18 14:22 -0600
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-18 20:08 -0700
                Re: Halting Problem Solved Jeff Barnett <jbb@notatt.com> - 2021-07-19 02:06 -0600
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-19 21:09 -0700
                Re: Halting Problem Solved Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-20 11:24 +0100
                Re: Halting Problem Solved Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-20 03:43 -0700
                Re: Halting Problem Solved Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-20 13:53 +0100
                Re: Halting Problem Solved Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-20 14:02 +0100
                Re: Halting Problem Solved Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-20 06:30 -0700
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-20 10:22 -0700
                Re: Halting Problem Solved David Brown <david.brown@hesbynett.no> - 2021-07-19 09:11 +0200
                Re: Halting Problem Solved "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-07-19 01:13 -0700
                Re: Halting Problem Solved "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-07-19 11:34 -0700
                Re: Halting Problem Solved Jeff Barnett <jbb@notatt.com> - 2021-07-19 02:24 -0600
                Re: Halting Problem Solved David Brown <david.brown@hesbynett.no> - 2021-07-19 13:06 +0200
                Re: Halting Problem Solved Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-19 04:52 -0700
                Re: Halting Problem Solved Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-19 08:14 -0700
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-19 08:43 -0500
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-19 21:12 -0700
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-19 09:16 -0500
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-19 21:25 -0700
                Re: Halting Problem Solved Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-20 00:38 -0700
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-19 09:43 -0500
                Re: Halting Problem Solved (Black Box Decider Theory) [ Flibble is correct ] olcott <NoOne@NoWhere.com> - 2021-07-19 09:48 -0500
        Re: Halting Problem Solved (Black Box Decider Theory) Newberry <newberryxy@gmail.com> - 2021-07-19 13:30 -0700
          Re: Halting Problem Solved (Black Box Decider Theory) "dklei...@gmail.com" <dkleinecke@gmail.com> - 2021-07-20 16:16 -0700
            Re: Halting Problem Solved (Black Box Decider Theory) André G. Isaak <agisaak@gm.invalid> - 2021-07-20 17:21 -0600
              Re: Halting Problem Solved (Black Box Decider Theory) "dklei...@gmail.com" <dkleinecke@gmail.com> - 2021-07-20 16:37 -0700
                Re: Halting Problem Solved (Black Box Decider Theory) André G. Isaak <agisaak@gm.invalid> - 2021-07-20 18:37 -0600
                Re: Halting Problem Solved (Black Box Decider Theory) Richard Damon <Richard@Damon-Family.org> - 2021-07-20 18:02 -0700
                Re: Halting Problem Solved (Black Box Decider Theory) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-07-20 23:32 -0700
                Re: Halting Problem Solved (Black Box Decider Theory) Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-07-21 08:17 -0700
                Re: Halting Problem Solved (Black Box Decider Theory) André G. Isaak <agisaak@gm.invalid> - 2021-07-21 09:24 -0600
            Re: Halting Problem Solved (Black Box Decider Theory) Newberry <newberryxy@gmail.com> - 2021-07-20 23:26 -0700
      Re: Halting Problem Solved (Black Box Decider Theory) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-16 21:57 +0100
        Re: Halting Problem Solved (Black Box Decider Theory) Mr Flibble <flibble@reddwarf.jmc> - 2021-07-16 22:06 +0100
          Re: Halting Problem Solved (Black Box Decider Theory) olcott <NoOne@NoWhere.com> - 2021-07-16 16:10 -0500
            Re: Halting Problem Solved (Black Box Decider Theory) Mr Flibble <flibble@reddwarf.jmc> - 2021-07-16 22:22 +0100
              Re: Halting Problem Solved (Black Box Decider Theory) olcott <NoOne@NoWhere.com> - 2021-07-16 16:30 -0500
  Re: Halting Problem Solved (Black Box Decider Theory) olcott <NoOne@NoWhere.com> - 2021-07-16 13:31 -0500
    Re: Halting Problem Solved (Black Box Decider Theory) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-16 21:46 +0100
      Re: Halting Problem Solved (Black Box Decider Theory) olcott <NoOne@NoWhere.com> - 2021-07-16 16:07 -0500
        Re: Halting Problem Solved (Black Box Decider Theory) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-16 23:59 +0100
          Re: Halting Problem Solved [ Ben admits that he lied ] olcott <NoOne@NoWhere.com> - 2021-07-17 10:35 -0500
            Re: Halting Problem Solved [ Ben admits that he lied ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-18 03:32 +0100
              Re: Halting Problem Solved [ Ben admits that he lied ] olcott <NoOne@NoWhere.com> - 2021-07-19 09:55 -0500
                Re: Halting Problem Solved [ Ben admits that he lied ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-20 01:35 +0100
                Re: Halting Problem Solved [ Ben admits that he lied ] olcott <NoOne@NoWhere.com> - 2021-07-20 09:22 -0500
                Re: Halting Problem Solved [ Ben admits that he lied ] André G. Isaak <agisaak@gm.invalid> - 2021-07-20 08:40 -0600
                Re: Halting Problem Solved [ Ben admits that he lied ] olcott <NoOne@NoWhere.com> - 2021-07-20 10:18 -0500
                Re: Halting Problem Solved [ Ben admits that he lied ] André G. Isaak <agisaak@gm.invalid> - 2021-07-20 09:29 -0600
                Re: Halting Problem Solved [ Ben admits that he lied ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-20 09:45 -0700
                Re: Halting Problem Solved [ Ben admits that he lied ] Richard Damon <Richard@Damon-Family.org> - 2021-07-20 10:33 -0700
                Re: Halting Problem Solved [ Ben admits that he lied ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-21 01:28 +0100
                Re: Halting Problem Solved [ Ben admits that he lied ] [ H(P,P)==0 is correct ] olcott <NoOne@NoWhere.com> - 2021-07-21 09:48 -0500
                Re: Halting Problem Solved [ Ben admits that he lied ] [ H(P,P)==0 is correct ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 09:41 -0700
                Re: Halting Problem Solved [ Ben admits that he lied ] [ H(P,P)==0 is correct ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-22 01:12 +0100
                Re: Halting Problem Solved [ Ben admits that he lied ] [ H(P,P)==0 is correct ] olcott <NoOne@NoWhere.com> - 2021-07-21 20:27 -0500
                Re: Halting Problem Solved [ Ben admits that he lied ] [ H(P,P)==0 is correct ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 18:37 -0700
                Re: Halting Problem Solved [ Ben admits that he lied ] [ H(P,P)==0 is correct ] olcott <NoOne@NoWhere.com> - 2021-07-21 20:49 -0500
                Re: Halting Problem Solved [ Ben admits that he lied ] [ H(P,P)==0 is correct ] Richard Damon <Richard@Damon-Family.org> - 2021-07-21 19:01 -0700
                Re: Halting Problem Solved Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-22 02:49 +0100
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-21 20:57 -0500
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-21 19:19 -0700
                Re: Halting Problem Solved André G. Isaak <agisaak@gm.invalid> - 2021-07-21 20:57 -0600
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-21 22:25 -0500
                Re: Halting Problem Solved André G. Isaak <agisaak@gm.invalid> - 2021-07-21 21:50 -0600
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-21 23:40 -0500
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-21 22:26 -0700
                Re: Halting Problem Solved André G. Isaak <agisaak@gm.invalid> - 2021-07-22 00:55 -0600
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-22 08:04 -0500
                Re: Halting Problem Solved André G. Isaak <agisaak@gm.invalid> - 2021-07-22 08:23 -0600
                Re: Halting Problem Solved (title is a misnomer) olcott <NoOne@NoWhere.com> - 2021-07-22 09:52 -0500
                Re: Halting Problem Solved (title is a misnomer) Richard Damon <Richard@Damon-Family.org> - 2021-07-22 10:24 -0700
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-22 10:22 -0700
                Re: Halting Problem Solved Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-22 21:53 +0100
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-22 16:47 -0500
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-22 14:54 -0700
                Re: Halting Problem Solved Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-23 00:04 +0100
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-22 18:22 -0500
                Re: Halting Problem Solved Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-23 00:53 +0100
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-23 09:04 -0500
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-23 09:41 -0700
                Re: Halting Problem Solved Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-23 22:13 +0100
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-23 16:54 -0500
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-23 15:19 -0700
                Re: Halting Problem Solved Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-25 04:02 +0100
                Re: Halting Problem Solved André G. Isaak <agisaak@gm.invalid> - 2021-07-22 18:05 -0600
                Re: Halting Problem Solved olcott <NoOne@NoWhere.com> - 2021-07-23 08:36 -0500
                Re: Halting Problem Solved Richard Damon <Richard@Damon-Family.org> - 2021-07-23 08:51 -0700
                Re: Halting Problem Solved [ Ben admits that he lied ] [ H(P,P)==0 is correct ] "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-07-21 21:04 -0700
                Re: Halting Problem Solved [ Ben admits that he lied ] Richard Damon <Richard@Damon-Family.org> - 2021-07-19 21:17 -0700
        Re: Halting Problem Solved (Black Box Decider Theory) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-16 23:59 +0100
          Re: Halting Problem Solved (Black Box Decider Theory) [Ben is a liar ] olcott <NoOne@NoWhere.com> - 2021-07-17 10:38 -0500
            Re: Halting Problem Solved (Black Box Decider Theory) [Ben is a liar ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-18 03:12 +0100
              Re: Halting Problem Solved (Black Box Decider Theory) [Ben is a liar ] olcott <NoOne@NoWhere.com> - 2021-07-19 10:02 -0500
                Re: Halting Problem Solved (Black Box Decider Theory) [Ben is a liar ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-20 01:36 +0100
  Re: Halting Problem Solved (Black Box Decider Theory) Charlie-Boo <shymathguy@gmail.com> - 2021-07-22 08:12 -0700

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