Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]


Groups > comp.theory > #36060

Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ]

From Mr Flibble <flibble@reddwarf.jmc>
Newsgroups comp.theory
Subject Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ]
Message-ID <20210710173427.00006b5f@reddwarf.jmc> (permalink)
References (17 earlier) <z5WdnVkIYuC5K3T9nZ2dnUU7-QvNnZ2d@giganews.com> <20210710161537.00002347@reddwarf.jmc> <j_GdncmJqZZqJ3T9nZ2dnUU7-R-dnZ2d@giganews.com> <20210710162549.000014b6@reddwarf.jmc> <xcCdnY7hb5meW3T9nZ2dnUU7-d3NnZ2d@giganews.com>
Organization Jupiter Mining Corp
Date 2021-07-10 17:34 +0100

Show all headers | View raw


On Sat, 10 Jul 2021 11:08:35 -0500
olcott <NoOne@NoWhere.com> wrote:

> On 7/10/2021 10:25 AM, Mr Flibble wrote:
> > On Sat, 10 Jul 2021 10:21:26 -0500
> > olcott <NoOne@NoWhere.com> wrote:
> >   
> >> On 7/10/2021 10:15 AM, Mr Flibble wrote:  
> >>> On Sat, 10 Jul 2021 10:00:51 -0500
> >>> olcott <NoOne@NoWhere.com> wrote:
> >>>      
> >>>> On 7/10/2021 9:30 AM, Mr Flibble wrote:  
> >>>>> On Sat, 10 Jul 2021 08:54:23 -0500
> >>>>> olcott <NoOne@NoWhere.com> wrote:
> >>>>>         
> >>>>>> On 7/10/2021 6:40 AM, Mr Flibble wrote:  
> >>>>>>> On Fri, 9 Jul 2021 16:13:48 -0500
> >>>>>>> olcott <NoOne@NoWhere.com> wrote:
> >>>>>>>            
> >>>>>>>> On 7/9/2021 4:08 PM, Mr Flibble wrote:  
> >>>>>>>>> On Fri, 9 Jul 2021 14:24:33 -0500
> >>>>>>>>> olcott <NoOne@NoWhere.com> wrote:
> >>>>>>>>>               
> >>>>>>>>>> On 7/9/2021 2:16 PM, Mr Flibble wrote:  
> >>>>>>>>>>> On Fri, 9 Jul 2021 12:47:12 -0500
> >>>>>>>>>>> olcott <NoOne@NoWhere.com> wrote:
> >>>>>>>>>>>                  
> >>>>>>>>>>>> On 7/9/2021 12:06 PM, Mr Flibble wrote:  
> >>>>>>>>>>>>> On Fri, 9 Jul 2021 08:59:51 -0500
> >>>>>>>>>>>>> olcott <NoOne@NoWhere.com> wrote:  
> >>>>>>>>>>>>>> [Halt Deciding Axiom] When the pure simulation of the
> >>>>>>>>>>>>>> machine description ⟨P⟩ of a machine P on its input I
> >>>>>>>>>>>>>> never halts we know that P(I) never halts.
> >>>>>>>>>>>>>>
> >>>>>>>>>>>>>> No we cannot. In order to remove the pathological
> >>>>>>>>>>>>>> feedback loop such that P does the opposite of whatever
> >>>>>>>>>>>>>> H decides H simply acts as a pure simulator of P thus
> >>>>>>>>>>>>>> having no effect what-so-ever on the behavior of P
> >>>>>>>>>>>>>> until after its halt status decision has been made.  
> >>>>>>>>>>>>>
> >>>>>>>>>>>>> Except your decider can only handle trivial
> >>>>>>>>>>>>> uninteresting cases: if you wish to make progress on
> >>>>>>>>>>>>> this then prove your decider works with a non-trivial
> >>>>>>>>>>>>> case which includes branching logic predicated on
> >>>>>>>>>>>>> arbitrary program input that is unknown a priori to the
> >>>>>>>>>>>>> simulation starting; but before you even do that prove
> >>>>>>>>>>>>> your decider works with a non-trivial case with
> >>>>>>>>>>>>> branching logic predicated on arbitrary program input
> >>>>>>>>>>>>> that *is* known a priori.  
> >>>>>>>>>>>>
> >>>>>>>>>>>> You continue to prove to everyone that actually knows
> >>>>>>>>>>>> these things that you are an ignoramus on this subject.
> >>>>>>>>>>>>
> >>>>>>>>>>>> That H correctly decides that all of the standard
> >>>>>>>>>>>> counter-examples templates never halt eliminates the
> >>>>>>>>>>>> entire basis of all of the conventional halting problem
> >>>>>>>>>>>> undecidability proofs.  
> >>>>>>>>>>>>> I also note that you repeatedly refuse to address my
> >>>>>>>>>>>>> point regarding how x86 mov instructions can read/write
> >>>>>>>>>>>>> from/to memory mapped I/O rather than RAM so the result
> >>>>>>>>>>>>> of the mov instruction cannot be known a priori. The
> >>>>>>>>>>>>> halting program concerns computing devices and a
> >>>>>>>>>>>>> computing device which cannot do I/O is next to
> >>>>>>>>>>>>> useless, much like your decider (until you actually
> >>>>>>>>>>>>> prove otherwise which I have a feeling is never going
> >>>>>>>>>>>>> to happen as you appear to be stuck in a loop).
> >>>>>>>>>>>>>
> >>>>>>>>>>>>> /Flibble
> >>>>>>>>>>>>>                     
> >>>>>>>>>>>>
> >>>>>>>>>>>>                 
> >>>>>>>>>>>
> >>>>>>>>>>> I continue to note that you repeatedly refuse to address
> >>>>>>>>>>> my point regarding how x86 mov instructions can read/write
> >>>>>>>>>>> from/to memory mapped I/O rather than RAM so the result of
> >>>>>>>>>>> the mov instruction cannot be known a priori. The halting
> >>>>>>>>>>> program concerns computing devices and a computing device
> >>>>>>>>>>> which cannot do I/O is next to useless, much like your
> >>>>>>>>>>> decider (until you actually prove otherwise which I have a
> >>>>>>>>>>> feeling is never going to happen as you appear to be stuck
> >>>>>>>>>>> in a loop).
> >>>>>>>>>>>
> >>>>>>>>>>> /Flibble
> >>>>>>>>>>>                  
> >>>>>>>>>>
> >>>>>>>>>> You are the only one that believes that your points have
> >>>>>>>>>> any relevance. That you believe that data movement
> >>>>>>>>>> instructions have anything to do with control flow proves
> >>>>>>>>>> that your points have no relevance.  
> >>>>>>>>>       
> >>>>>>>>> You literally have no clue about what you are talking about,
> >>>>>>>>> whatsoever. This explains everything.
> >>>>>>>>>
> >>>>>>>>> /Flibble
> >>>>>>>>>               
> >>>>>>>>
> >>>>>>>> *Make sure that you read all of this especially the last
> >>>>>>>> line*
> >>>>>>>>
> >>>>>>>> halt (p, i)
> >>>>>>>> {
> >>>>>>>>        if ( program p halts on input i )
> >>>>>>>>          return true ; // p halts
> >>>>>>>>        else
> >>>>>>>>          return false ; // p doesn’t halt
> >>>>>>>> }
> >>>>>>>> Fig. 1. Pseudocode of the Halting Function
> >>>>>>>>
> >>>>>>>> Strachey’s Impossible Program Strachey proposed a program
> >>>>>>>> based on the result of an assumed halting function [2].
> >>>>>>>> The way Strachey’s construction and other similar
> >>>>>>>> constructions are used to show the impossibility of a
> >>>>>>>> decideable halting function is quite similar to Turing’s
> >>>>>>>> original disproof. But the relevant difference we want to
> >>>>>>>> emphasize is that they do not explicitly assume an infinite
> >>>>>>>> number of possible machines (programs) or input data,
> >>>>>>>> because they directly use reductio ad absurdum to prove that
> >>>>>>>> both, Strachey’s construction and the universal halting
> >>>>>>>> function cannot exist.
> >>>>>>>>
> >>>>>>>> strachey ( p )
> >>>>>>>> {
> >>>>>>>>        if ( halt (p, p) == true )
> >>>>>>>>          L1 : goto L1 ; // loop forever
> >>>>>>>>        else
> >>>>>>>>          return;
> >>>>>>>> }
> >>>>>>>>
> >>>>>>>> Fig. 2. Strachey’s Impossible Program
> >>>>>>>>
> >>>>>>>> The impossibility of Strachey’s construction given in Figure
> >>>>>>>> 2 becomes obvious if one tries to apply the halting function
> >>>>>>>> as follows:
> >>>>>>>>
> >>>>>>>> halt(strachey, strachey)
> >>>>>>>>
> >>>>>>>> Since in this case strachey() itself calls halt(strachey,
> >>>>>>>> strachey), it is required that the direct call of halt() and
> >>>>>>>> the nested call provide the same result. However, this leads
> >>>>>>>> to a contradiction, whatever result halt() returns. Within
> >>>>>>>> this disproof there seems to be no indication why not it
> >>>>>>>> could be even applied to finite-state systems having a
> >>>>>>>> concrete upper bound of state space.
> >>>>>>>>
> >>>>>>>> https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.206.1468&rep=rep1&type=pdf
> >>>>>>>>           
> >>>>>>>
> >>>>>>> Except your decider can only handle trivial uninteresting
> >>>>>>> cases: if you  
> >>>>>>
> >>>>>> Ask other people here if being able to correctly decide the
> >>>>>> strachey case is trivial or uninteresting. Ben might be the
> >>>>>> best one to ask about this.
> >>>>>>
> >>>>>> Here is his original 1965 letter.
> >>>>>> https://academic.oup.com/comjnl/article/7/4/313/354243  
> >>>>>     
> >>>>> All Strachey's letter shows is that a decider cannot be part of
> >>>>> that which is being decided.
> >>>>>
> >>>>> /Flibble
> >>>>>         
> >>>>
> >>>>
> >>>> // Simplified Linz Ĥ (Linz:1990:319)
> >>>> void P(u32 x)
> >>>> {
> >>>>      u32 Input_Halts = H(x, x);
> >>>>      if (Input_Halts)
> >>>>        HERE: goto HERE;
> >>>> }
> >>>>
> >>>> int main()
> >>>> {
> >>>>      u32 Input_Halts = H((u32)P, (u32)P);
> >>>>      Output("Input_Halts = ", Input_Halts);
> >>>> }
> >>>>
> >>>> What it shows is that the halting problem proof can be enormously
> >>>> simplified to the impossibility of the H(P,P) in main()
> >>>> returning a correct halt status value to main().
> >>>>
> >>>> *Here are Strachey's (verbatim) own words*
> >>>> Suppose T[R] is a Boolean function taking a routine
> >>>> (or program) R with no formal or free variables as its
> >>>> argument and that for all R, T[R] — True if R terminates
> >>>> if run and that T[R] = False if R does not terminate.
> >>>> Consider the routine P defined as follows
> >>>>
> >>>> rec routine P
> >>>>      §L:if T[P] go to L
> >>>>        Return §
> >>>>
> >>>> If T[P] = True the routine P will loop, and it will
> >>>> only terminate if T[P] = False. In each case T[P] has
> >>>> exactly the wrong value, and this contradiction shows
> >>>> that the function T cannot exist.
> >>>>
> >>>> Strachey is the creator of CPL ancestor to BCPL then B then C
> >>>> His code above is written in his CPL programming language.  
> >>>
> >>> I repeat: all Strachey's letter shows is that a decider cannot be
> >>> part of that which is being decided.
> >>>
> >>> /Flibble
> >>>      
> >>
> >> Although this <is> one way of putting it, all of the halting
> >> problem proofs require that the decider is a part of what is being
> >> decided. When we disallow that all of these proofs lose their
> >> entire basis and fail to prove anything.  
> >   
> > I agree, if these proofs do require a decider to be part of that
> > which is being decided then they are indeed invalid for the reason
> > Strachey highlights in his letter.
> > 
> > /Flibble
> >   
> 
> I have been saying that they are invalid since 2004, now you are 
> agreeing with me on this.
> 
> comp.theory Peter Olcott Sep 5, 2004, 11:21:57 AM
> The Liar Paradox can be shown to be nothing more than
> a incorrectly formed statement because of its pathological
> self-reference. The Halting Problem can only exist because
> of this same sort of pathological self-reference.
> https://groups.google.com/g/comp.theory/c/RO9Z9eCabeE/m/Ka8-xS2rdEEJ
> 
> Everyone else believes that they are valid and prove that the halting 
> problem is undecidable.

They are not valid as [Strachey 1965] falsifies them (if what you say
is correct) HOWEVER given that it doesn't follow that the halting
problem itself is not undecidable just that those particular proofs are
invalid.

/Flibble

Back to comp.theory | Previous | NextPrevious in thread | Next in thread | Find similar | Unroll thread


Thread

How do we know that H(P,P)==0 is correct? olcott <NoOne@NoWhere.com> - 2021-07-05 11:28 -0500
  Re: How do we know that H(P,P)==0 is correct? Richard Damon <Richard@Damon-Family.org> - 2021-07-05 13:06 -0400
    Re: How do we know that H(P,P)==0 is correct? olcott <NoOne@NoWhere.com> - 2021-07-05 12:17 -0500
      Re: How do we know that H(P,P)==0 is correct? Richard Damon <Richard@Damon-Family.org> - 2021-07-05 13:54 -0400
        Re: How do we know that H(P,P)==0 is correct? olcott <NoOne@NoWhere.com> - 2021-07-05 14:30 -0500
          Re: How do we know that H(P,P)==0 is correct? Richard Damon <Richard@Damon-Family.org> - 2021-07-05 15:54 -0400
  Re: How do we know that H(P,P)==0 is correct? Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-05 22:34 +0100
    Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-05 16:40 -0500
      Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Richard Damon <Richard@Damon-Family.org> - 2021-07-05 17:48 -0400
        Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-05 17:41 -0500
          Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Richard Damon <Richard@Damon-Family.org> - 2021-07-05 19:14 -0400
      Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-06 00:15 +0100
        Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-05 19:04 -0500
          Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) Richard Damon <Richard@Damon-Family.org> - 2021-07-05 20:45 -0400
            Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-05 20:01 -0500
              Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) Richard Damon <Richard@Damon-Family.org> - 2021-07-05 21:22 -0400
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-05 21:37 -0500
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) Richard Damon <Richard@Damon-Family.org> - 2021-07-06 06:38 -0400
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-06 04:14 -0700
          Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-06 03:33 +0100
            Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-05 22:06 -0500
              Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-06 13:39 +0100
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-06 10:59 -0500
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-07 02:55 +0100
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) Richard Damon <Richard@Damon-Family.org> - 2021-07-06 22:29 -0400
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-06 11:33 -0500
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-06 11:19 -0700
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-06 13:28 -0500
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-06 11:32 -0700
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) olcott <NoOne@NoWhere.com> - 2021-07-06 14:16 -0500
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) Richard Damon <Richard@Damon-Family.org> - 2021-07-06 22:32 -0400
                Re: How do we know that H(P,P)==0 is correct? (correct halt deciding criterion measure) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-07 02:56 +0100
                Re: How do we know that H(P,P)==0 is correct? (V2) olcott <NoOne@NoWhere.com> - 2021-07-06 21:00 -0500
                Re: How do we know that H(P,P)==0 is correct? (V2) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-07 16:32 +0100
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 11:24 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) wij <wyniijj@gmail.com> - 2021-07-07 10:53 -0700
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 13:10 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) wij <wyniijj@gmail.com> - 2021-07-07 11:59 -0700
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 14:51 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) wij <wyniijj@gmail.com> - 2021-07-07 13:47 -0700
                Re: How do we know that H(P,P)==0 is correct? (V3) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-07 14:35 -0700
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 16:49 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-07 20:18 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 20:24 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-07 21:45 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 21:04 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-07 22:45 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 22:03 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-08 06:56 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) [ independent v dependent variables ] olcott <NoOne@NoWhere.com> - 2021-07-08 07:46 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) [ independent v dependent variables ] Richard Damon <Richard@Damon-Family.org> - 2021-07-08 23:39 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) [ independent v dependent variables ] olcott <NoOne@NoWhere.com> - 2021-07-08 22:54 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) [ independent v dependent variables ] André G. Isaak <agisaak@gm.invalid> - 2021-07-08 22:15 -0600
                Re: How do we know that H(P,P)==0 is correct? (V3) [ independent v dependent variables ] olcott <NoOne@NoWhere.com> - 2021-07-08 23:26 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) [ independent v dependent variables ] André G. Isaak <agisaak@gm.invalid> - 2021-07-08 22:44 -0600
                Re: How do we know that H(P,P)==0 is correct? (V3) [ independent v dependent variables ] olcott <NoOne@NoWhere.com> - 2021-07-08 23:53 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 22:10 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-07 22:53 -0700
                Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-08 06:58 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-08 07:58 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-08 06:12 -0700
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-08 08:35 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-08 07:12 -0700
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-08 09:18 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-08 07:41 -0700
                Re: How do we know that H(P,P)==0 is correct? (V3) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-08 17:07 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) olcott <NoOne@NoWhere.com> - 2021-07-08 11:24 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-08 09:55 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-08 23:52 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) olcott <NoOne@NoWhere.com> - 2021-07-08 20:07 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-09 02:48 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-08 21:21 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-08 21:36 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-09 12:30 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 05:56 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 08:59 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Real Troll <real.troll@trolls.com> - 2021-07-09 17:59 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 20:32 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 19:28 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-09 18:06 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 12:47 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-09 20:16 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 14:24 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 12:33 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-09 22:08 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 16:13 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-10 12:40 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] olcott <NoOne@NoWhere.com> - 2021-07-10 08:54 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-10 15:30 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] olcott <NoOne@NoWhere.com> - 2021-07-10 10:00 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-10 16:15 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] olcott <NoOne@NoWhere.com> - 2021-07-10 10:21 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-10 16:25 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-10 08:30 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-10 16:33 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-10 08:34 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-10 08:45 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] olcott <NoOne@NoWhere.com> - 2021-07-10 11:08 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-10 17:34 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ]( You and I ) olcott <NoOne@NoWhere.com> - 2021-07-10 11:42 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ]( You and I ) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-10 10:54 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ]( You and I ) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-10 11:23 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ]( You and I ) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-10 11:41 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ]( You and I ) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-10 13:15 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-10 08:24 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-07-10 15:19 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] gazelle@shell.xmission.com (Kenny McCormack) - 2021-07-11 00:29 +0000
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] olcott <NoOne@NoWhere.com> - 2021-07-10 19:57 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2021-07-10 20:33 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ strachey example ] olcott <NoOne@NoWhere.com> - 2021-07-10 22:59 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-09 23:10 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 17:41 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 12:28 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 10:50 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-09 22:59 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 17:29 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-10 00:23 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 18:31 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-10 01:13 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 19:33 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-11 01:57 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-10 20:00 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-11 03:08 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-10 22:13 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-07-10 23:13 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Mr Flibble <flibble@reddwarf.jmc> - 2021-07-11 07:14 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-11 00:27 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-11 01:07 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-11 01:39 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-07-11 01:42 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-11 09:16 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-11 09:16 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-11 11:10 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-11 09:30 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-11 20:04 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ]( Flibble agrees ) olcott <NoOne@NoWhere.com> - 2021-07-11 14:47 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-11 22:35 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-12 09:13 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-12 09:20 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Theperfect Parrotsstore <theperfectparrotsstore@gmail.com> - 2021-07-12 08:23 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-12 12:35 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-12 12:39 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-12 17:18 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-12 18:00 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 08:41 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-13 07:57 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 09:42 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] wij <wyniijj@gmail.com> - 2021-07-13 07:54 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 10:02 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-13 22:23 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-14 15:52 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Andy Walker <anw@cuboid.co.uk> - 2021-07-14 22:09 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-14 16:47 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-14 21:03 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-14 20:57 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-14 22:12 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-14 21:57 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-07-15 01:44 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-15 09:17 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-15 21:04 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-15 16:31 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-15 15:08 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-15 15:18 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-15 16:13 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] "dklei...@gmail.com" <dkleinecke@gmail.com> - 2021-07-15 16:54 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-15 19:42 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-17 07:25 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-16 01:17 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-15 19:52 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-16 03:09 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) olcott <NoOne@NoWhere.com> - 2021-07-15 22:03 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-17 01:43 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-16 19:07 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-16 19:29 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-16 19:54 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) olcott <NoOne@NoWhere.com> - 2021-07-16 22:34 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-16 21:11 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) olcott <NoOne@NoWhere.com> - 2021-07-16 21:48 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) Richard Damon <Richard@Damon-Family.org> - 2021-07-17 07:44 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-18 02:27 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-17 18:43 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-18 03:45 +0100
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-17 23:05 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) olcott <NoOne@NoWhere.com> - 2021-07-19 10:11 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ](and Flibble) Richard Damon <Richard@Damon-Family.org> - 2021-07-16 22:52 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-15 13:12 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-16 22:39 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-13 09:08 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 10:33 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-13 09:36 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 10:43 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-13 10:11 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 17:21 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-13 16:44 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 17:55 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-13 17:08 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 18:50 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-13 18:20 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 19:32 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-13 19:02 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 20:11 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-13 19:42 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 20:52 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-13 20:07 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 21:14 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-13 20:30 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-13 21:42 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-13 22:29 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-14 15:53 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-14 15:01 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-14 16:39 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-14 21:06 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-13 23:13 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-14 10:07 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-14 21:35 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-12 21:20 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-12 21:15 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Richard Damon <Richard@Damon-Family.org> - 2021-07-12 21:10 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-07-11 06:54 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ suspended not halted ] olcott <NoOne@NoWhere.com> - 2021-07-11 09:14 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-09 20:39 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 20:08 -0700
                The (binary decision) tree of the knowledge of Good and Evil olcott <NoOne@NoWhere.com> - 2021-07-09 22:30 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 20:42 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 22:18 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-09 21:46 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 23:01 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-09 22:28 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 23:45 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-09 23:24 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 22:32 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 22:39 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 23:01 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-10 09:25 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] André G. Isaak <agisaak@gm.invalid> - 2021-07-10 09:12 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ type mismatch error ] olcott <NoOne@NoWhere.com> - 2021-07-10 10:32 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ type mismatch error ] André G. Isaak <agisaak@gm.invalid> - 2021-07-10 09:48 -0600
                Re: How do we know that H(P,P)==0 is correct? (V4) [ type mismatch error ] olcott <NoOne@NoWhere.com> - 2021-07-10 11:19 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 21:51 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 21:59 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 21:01 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-09 21:17 -0700
                Re: How do we know that H(P,P)==0 is correct? (V4) [ pathological self-reference(Olcott 2004) ] olcott <NoOne@NoWhere.com> - 2021-07-09 23:24 -0500
                Re: How do we know that H(P,P)==0 is correct? (V4) Richard Damon <Richard@Damon-Family.org> - 2021-07-08 23:50 -0400
                Re: How do we know that H(P,P)==0 is correct? (V4) Richard Damon <Richard@Damon-Family.org> - 2021-07-08 23:43 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-08 23:40 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-07 20:17 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 20:31 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-07 21:51 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 21:07 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-07 22:51 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 22:04 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-08 07:02 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) [ global halt decider ] olcott <NoOne@NoWhere.com> - 2021-07-08 08:29 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) [ global halt decider ] Richard Damon <Richard@Damon-Family.org> - 2021-07-09 00:05 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) [ global halt decider ] olcott <NoOne@NoWhere.com> - 2021-07-08 23:27 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) [ global halt decider ] Richard Damon <Richard@Damon-Family.org> - 2021-07-09 05:53 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) [ global halt decider ] olcott <NoOne@NoWhere.com> - 2021-07-09 09:02 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-07 20:59 +0100
        Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-05 23:15 -0500
          Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-06 13:07 +0100
            Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-06 08:27 -0500
              Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) wij <wyniijj@gmail.com> - 2021-07-06 07:42 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-06 10:26 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Richard Damon <Richard@Damon-Family.org> - 2021-07-06 22:02 -0400
              Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-07 02:56 +0100
              Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Richard Damon <Richard@Damon-Family.org> - 2021-07-06 21:59 -0400
          Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Mr Flibble <flibble@reddwarf.jmc> - 2021-07-06 21:18 +0100
            Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-06 15:41 -0500
              Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Mr Flibble <flibble@reddwarf.jmc> - 2021-07-06 23:18 +0100
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-06 16:13 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-06 18:38 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-06 18:44 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-06 16:53 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-06 18:56 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-06 17:46 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-06 19:50 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-06 17:56 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-06 20:18 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-06 18:37 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-06 20:43 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-06 18:55 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-06 19:06 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Richard Damon <Richard@Damon-Family.org> - 2021-07-06 22:19 -0400
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Richard Damon <Richard@Damon-Family.org> - 2021-07-07 08:01 -0400
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-06 20:47 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-07 03:23 +0100
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-07-06 22:19 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-07 00:55 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-07 09:35 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-07 09:29 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-07 16:31 +0100
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-07 10:53 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-07 17:33 +0100
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-07 12:06 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-07 20:28 +0100
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-07 14:54 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-07 10:19 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-07 12:21 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Andy Walker <anw@cuboid.co.uk> - 2021-07-07 19:05 +0100
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-07 13:30 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) André G. Isaak <agisaak@gm.invalid> - 2021-07-07 14:28 -0600
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-07 16:44 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-07-07 15:50 -0700
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) olcott <NoOne@NoWhere.com> - 2021-07-07 18:09 -0500
                Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-07 20:22 +0100
              Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Richard Damon <Richard@Damon-Family.org> - 2021-07-06 22:08 -0400
            Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-07-06 14:31 -0700
        Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Richard Damon <Richard@Damon-Family.org> - 2021-07-06 22:35 -0400
          Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Ben Bacarisse <ben.usenet@bsb.me.uk> - 2021-07-07 11:46 +0100
            Re: How do we know that H(P,P)==0 is correct? (Ben's double-talk does not work) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-07 04:50 -0700
            Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 09:47 -0500
              Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-07 20:26 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-07 17:34 -0700
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 20:15 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-07 22:00 -0400
                Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 21:08 -0500
                Re: How do we know that H(P,P)==0 is correct? (V3) Richard Damon <Richard@Damon-Family.org> - 2021-07-07 22:51 -0400
  Re: How do we know that H(P,P)==0 is correct? Bonita Montero <Bonita.Montero@gmail.com> - 2021-07-07 14:18 +0200
    Re: How do we know that H(P,P)==0 is correct? (V3) olcott <NoOne@NoWhere.com> - 2021-07-07 14:39 -0500
    Re: How do we know that H(P,P)==0 is correct? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-07-07 14:52 -0700
      Re: How do we know that H(P,P)==0 is correct? olcott <NoOne@NoWhere.com> - 2021-07-07 17:05 -0500
        Re: How do we know that H(P,P)==0 is correct? wij <wyniijj@gmail.com> - 2021-07-07 15:41 -0700
          Re: How do we know that H(P,P)==0 is correct? [ proof ] olcott <NoOne@NoWhere.com> - 2021-07-07 18:04 -0500
            Re: How do we know that H(P,P)==0 is correct? [ proof ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-07 16:19 -0700
              Re: How do we know that H(P,P)==0 is correct? [ proof ] olcott <NoOne@NoWhere.com> - 2021-07-07 18:34 -0500
                Re: How do we know that H(P,P)==0 is correct? [ proof ] "dklei...@gmail.com" <dkleinecke@gmail.com> - 2021-07-07 17:03 -0700
                Re: How do we know that H(P,P)==0 is correct? [ proof ] olcott <NoOne@NoWhere.com> - 2021-07-07 19:14 -0500
                Re: How do we know that H(P,P)==0 is correct? [ proof ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-07 17:19 -0700
                Re: How do we know that H(P,P)==0 is correct? [ proof ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-07 17:26 -0700
                Re: How do we know that H(P,P)==0 is correct? [ proof ] Malcolm McLean <malcolm.arthur.mclean@gmail.com> - 2021-07-08 02:41 -0700
                Re: How do we know that H(P,P)==0 is correct? [ proof ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-08 02:50 -0700
                Re: How do we know that H(P,P)==0 is correct? [ proof ] Jeff Barnett <jbb@notatt.com> - 2021-07-08 14:08 -0600
                Re: How do we know that H(P,P)==0 is correct? [ proof ] Daniel Pehoushek <pehoushek1@gmail.com> - 2021-07-08 20:37 -0700

csiph-web