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devel / comp.lang.prolog / Is ChatGPT correct about this formalization of the Liar Paradox in Prolog?

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o Is ChatGPT correct about this formalization of the Liar Paradox inolcott

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Is ChatGPT correct about this formalization of the Liar Paradox in Prolog?

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From: polcott2@gmail.com (olcott)
Newsgroups: comp.lang.prolog
Subject: Is ChatGPT correct about this formalization of the Liar Paradox in
Prolog?
Date: Sat, 13 May 2023 10:03:14 -0500
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 by: olcott - Sat, 13 May 2023 15:03 UTC

Please explain this in English:

?- LP = not(true(LP)).
LP = not(true(LP)).

?- unify_with_occurs_check(LP, not(true(LP))).
false.

ChatGPT
The first statement in Prolog is an assignment where LP is defined as
the negation of the truth value of LP itself. This means that LP is the
logical negation of LP, indicating that LP is false if it is true, and
true if it is false.

The second statement is a query that checks if there exists a
unification between LP and not(true(LP)). It attempts to find a
consistent value for LP that satisfies the equation.

In this case, the result of the query is false, indicating that there is
no valid unification between LP and not(true(LP)). In other words, there
is no consistent value that can simultaneously satisfy the equation LP =
not(true(LP)). This suggests that there is a contradiction in the logic,
as the equation cannot hold true for any value of LP.

--
Copyright 2023 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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