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Re: On recursion and infinite recursion (reprise #2)

From olcott <polcott2@gmail.com>
Newsgroups comp.theory
Subject Re: On recursion and infinite recursion (reprise #2)
Date 2022-05-04 12:51 -0500
Organization A noiseless patient Spider
Message-ID <t4uefg$tp2$1@dont-email.me> (permalink)
References <20220504174626.0000449b@reddwarf.jmc>

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On 5/4/2022 11:46 AM, Mr Flibble wrote:
> The halting problem theorem and proof thereof [Turing, 1937] (upon
> which other currently extant halting problem proofs are derived) is
> invalid due to an invalid "impossible program" [Strachey, 1965] that
> arises not from a function call-like infinite recursion but from a
> category error in the form of an invalid (erroneous) infinite recursion
> present in the proof [Wikipedia, 2022].
> 

Strachey, seemed to have been the first person to simplify this:
https://academic.oup.com/comjnl/article/7/4/313/354243

All of the pseudo-code examples of the HP counter-examples are based on 
Strachey's CPL code.

> The categories involved in the category error are the decider and that
> which is being decided.  Currently extant attempts to conflate the
> decider with that which is being decided are infinitely recursive and
> thus invalid.
> 
> /Flibble
> 


-- 
Copyright 2022 Pete Olcott "Talent hits a target no one else can hit;
Genius hits a target no one else can see." Arthur Schopenhauer

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Thread

On recursion and infinite recursion (reprise #2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-04 17:46 +0100
  Re: On recursion and infinite recursion (reprise #2) André G. Isaak <agisaak@gm.invalid> - 2022-05-04 10:53 -0600
    Re: On recursion and infinite recursion (reprise #2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-04 17:56 +0100
      Re: On recursion and infinite recursion (reprise #2) olcott <polcott2@gmail.com> - 2022-05-04 12:53 -0500
        Re: On recursion and infinite recursion (reprise #2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-04 19:00 +0100
    Re: On recursion and infinite recursion (reprise #2) olcott <polcott2@gmail.com> - 2022-05-04 12:52 -0500
  Re: On recursion and infinite recursion (reprise #2) olcott <polcott2@gmail.com> - 2022-05-04 12:51 -0500
  Re: On recursion and infinite recursion (reprise #2) Richard Damon <Richard@Damon-Family.org> - 2022-05-04 19:42 -0400
    Re: On recursion and infinite recursion (reprise #2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-05 00:51 +0100
      Re: On recursion and infinite recursion (reprise #2) Python <python@example.invalid> - 2022-05-05 01:58 +0200
      Re: On recursion and infinite recursion (reprise #2) Richard Damon <Richard@Damon-Family.org> - 2022-05-04 20:02 -0400
        Re: On recursion and infinite recursion (reprise #2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-05 01:05 +0100
          Re: On recursion and infinite recursion (reprise #2) Richard Damon <Richard@Damon-Family.org> - 2022-05-04 20:21 -0400
            Re: On recursion and infinite recursion (reprise #2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-05 01:24 +0100
              Re: On recursion and infinite recursion (reprise #2) Richard Damon <Richard@Damon-Family.org> - 2022-05-04 20:41 -0400
                Re: On recursion and infinite recursion (reprise #2) Mr Flibble <flibble@reddwarf.jmc> - 2022-05-05 17:47 +0100
                Re: On recursion and infinite recursion (reprise #2) olcott <polcott2@gmail.com> - 2022-05-05 16:40 -0500
                Re: On recursion and infinite recursion (reprise #2) Richard Damon <Richard@Damon-Family.org> - 2022-05-05 22:28 -0400

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