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Groups > comp.theory > #136685

Final Resolution of the Liar Paradox

From olcott <polcott333@gmail.com>
Newsgroups comp.theory, sci.logic, sci.math, comp.ai.philosophy
Subject Final Resolution of the Liar Paradox
Date 2025-11-27 08:36 -0600
Organization A noiseless patient Spider
Message-ID <10g9nlr$1fv38$1@dont-email.me> (permalink)

Cross-posted to 4 groups.

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This sentence is not true.
It is not true about what?
It is not true about being not true.
It is not true about being not true about what?
It is not true about being not true about being not true.
Oh I see you are stuck in a loop!

The simple English shows that the Liar Paradox never
gets to the point.

This is formalized in the Prolog programming language
?- LP = not(true(LP)).
LP = not(true(LP)).
?- unify_with_occurs_check(LP, not(true(LP))).
False.

Failing an occurs check seems to mean that the
resolution of an expression remains stuck in
infinite recursion. This is more clearly seen below.

In Olcott's Minimal Type Theory
LP := ~True(LP)    // LP {is defined as} ~True(LP)
that expands to ~True(~True(~True(~True(~True(~True(...))))))
https://philarchive.org/archive/PETMTT-4v2

The above seems to prove that the Liar Paradox
has merely been semantically unsound all these years.

-- 
Copyright 2025 Olcott

My 28 year goal has been to make
"true on the basis of meaning" computable.

This required establishing a new foundation
for correct reasoning.

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Thread

Final Resolution of the Liar Paradox olcott <polcott333@gmail.com> - 2025-11-27 08:36 -0600
  Re: Final Resolution of the Liar Paradox olcott <polcott333@gmail.com> - 2025-11-27 10:28 -0600
    Re: Final Resolution of the Liar Paradox Mikko <mikko.levanto@iki.fi> - 2025-11-28 10:06 +0200
      Re: Final Resolution of the Liar Paradox polcott <polcott333@gmail.com> - 2025-11-28 08:03 -0600
        Re: Final Resolution of the Liar Paradox Mikko <mikko.levanto@iki.fi> - 2025-11-29 10:48 +0200
          Re: Final Resolution of the Liar Paradox olcott <polcott333@gmail.com> - 2025-11-29 10:04 -0600
            Re: Final Resolution of the Liar Paradox Mikko <mikko.levanto@iki.fi> - 2025-11-30 11:10 +0200
      Re: Final Resolution of the Liar Paradox dart200 <user7160@newsgrouper.org.invalid> - 2025-11-28 09:29 -0800
        Re: Final Resolution of the Liar Paradox olcott <polcott333@gmail.com> - 2025-11-28 12:10 -0600
        Re: Final Resolution of the Liar Paradox "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-28 16:42 -0800
          Re: Final Resolution of the Liar Paradox FromTheRafters <FTR@nomail.afraid.org> - 2025-11-28 19:49 -0500
            Re: Final Resolution of the Liar Paradox "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-28 16:57 -0800
            Re: Final Resolution of the Liar Paradox "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-28 17:06 -0800
        Re: Final Resolution of the Liar Paradox Mikko <mikko.levanto@iki.fi> - 2025-11-29 10:55 +0200
          Re: Final Resolution of the Liar Paradox olcott <polcott333@gmail.com> - 2025-11-29 10:10 -0600
            Re: Final Resolution of the Liar Paradox dart200 <user7160@newsgrouper.org.invalid> - 2025-11-29 11:00 -0800
              Re: Final Resolution of the Liar Paradox olcott <polcott333@gmail.com> - 2025-11-29 13:16 -0600
            Re: Final Resolution of the Liar Paradox Mikko <mikko.levanto@iki.fi> - 2025-11-30 11:12 +0200
          on "Nothing is final" dart200 <user7160@newsgrouper.org.invalid> - 2025-11-29 10:53 -0800
            Re: on "Nothing is final" olcott <polcott333@gmail.com> - 2025-11-29 13:00 -0600
  Re: Final Resolution of the Liar Paradox Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-27 18:07 +0000
    Re: Final Resolution of the Liar Paradox "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-28 16:43 -0800
      Re: Final Resolution of the Liar Paradox Kaz Kylheku <643-408-1753@kylheku.com> - 2025-11-29 01:20 +0000
        Re: Final Resolution of the Liar Paradox "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-28 17:28 -0800
      Re: Final Resolution of the Liar Paradox Mikko <mikko.levanto@iki.fi> - 2025-11-29 11:06 +0200
        Re: Final Resolution of the Liar Paradox "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2025-11-29 14:37 -0800
          Re: Final Resolution of the Liar Paradox Mikko <mikko.levanto@iki.fi> - 2025-11-30 11:16 +0200

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