@fatsam It's quite easy to get most LLMs to contradict themselves, but sadly they don't explode the way they do when Kirk and Spock do it #liarparadox
The Liar Paradox - an explanation of the paradox from 400 BCE

YouTube
Back in the 1980s, long before #ChatGPT, there were attempts to process language on computers based on mathematical linguistic theories. Success was limited, but there were some cool applications of the research, including a solution to the famous #LiarParadox. New #DevlinsAngle post for the #MAA https://mathvalues.squarespace.com/masterblog/might-may-not-make-right-but-it-often-wins
Might May Not Always Make Right; but it Often Wins — MATH VALUES

By Keith Devlin @[email protected]

MATH VALUES

#ZerothLawOfSemiotics • Discussion 4.1
https://inquiryintoinquiry.com/2022/12/25/zeroth-law-of-semiotics-discussion-4/

[ET:]
Well the truth value can be true or false or something else — akin to \(5+5=12\) being a true statement, if one knows what base it involves, else it may be false. The same for \(4+4=10\) being a true statement, if one knows what base it involves.

[JA:]
Yes, reference is relative to a frame of reference. In #PragmaticSemiotics, frames of reference are called #SignRelations.

#Logic #Peirce #Semiotics #Semeiotics #LiarParadox

Zeroth Law Of Semiotics • Discussion 4

Inquiry Into Inquiry

In This Post-Epimenides World, Does Betteridge's Law Of Headlines Apply To Headlines About Betteridge's Law?

#BetteridgesLaw #Epimenides #LiarParadox

#ZerothLawOfSemiotics • Discussion 3
https://inquiryintoinquiry.com/2022/12/14/zeroth-law-of-semiotics-discussion-3/

My remarks on Facebook regarding the Zeroth Law Of Semiotics and its application to the Liar Paradox prompted Kent Olson to observe, “The liar paradox is a self-referential paradox, yes? I think #Russell answered these”. I added the following comment.

#Logic #Semeiotics #Semiotics #SignRelations
#Peirce #Epimenides #LiarParadox #AllLiarNoParadox

Zeroth Law Of Semiotics • Discussion 3

Inquiry Into Inquiry

#AllLiarNoParadox
https://inquiryintoinquiry.com/2015/08/01/all-liar-no-paradox/

A statement \(S_0\) asserts that a statement \(S_1\) is a statement that \(S_1\) is false.

The statement \(S_0\) violates an #Axiom of #Logic, so it doesn’t really matter whether the #OstensibleStatement \(S_1,\) the so-called #Liar, really is a statement or has a #TruthValue.

#LogicalAxiom #LawOfLogic #LogicalGraph
#LiarParadox #Epimenides #EpimenidesParadox
#Peirce #Semiotics #Semeiotics #SignRelations

All Liar, No Paradox

Inquiry Into Inquiry
#introduction
Hi! I’m a #philosophy professor in #illinois, trained in analytic #metaphysics, #PhilosophyOfLanguage, and #MedievalPhilosophy. Currently writing a book with a friend on the history of the #LiarParadox in the #IslamicWorld from around 800 to around 1500 and potty training a nine week old puppy with a weak bladder. #dogs #mushrooms #academic #medieval #IslamicPhilosophy #logic #modality #mereology #TeachingPhilosophy #aesthetics #sousvide #foraging

Zeroth Law Of Semiotics

Meaning is a privilege not a right.
Not all pictures depict.
Not all signs denote.

Never confuse a property of a sign,
just for instance, existence,
with a sign of a property,
for instance, existence.

Taking a property of a sign
for a sign of a property
is the zeroth sign of
nominal thinking
and the first
mistake.

Also Sprach 0*
9 Oct 2002

#Logic #Peirce #LiarParadox #ProtonPseudos
#Semeiotics #Semiotics #SignRelations
#ZerothLawOfSemiotics
https://inquiryintoinquiry.com/2015/07/30/zeroth-law-of-semiotics/

Zeroth Law Of Semiotics

Meaning is a privilege not a right. Not all pictures depict. Not all signs denote. Never confuse a property of a sign, just for instance, existence, with a sign of a property, for instance, existen…

Inquiry Into Inquiry

Zeroth Law Of Semiotics

Meaning is a privilege not a right.
Not all pictures depict.
Not all signs denote.

Never confuse a property of a sign,
just for instance, existence,
with a sign of a property,
for instance, existence.

Taking a property of a sign
for a sign of a property
is the zeroth sign of
nominal thinking
and the first
mistake.

Also Sprach 0*
9 October 2002

cc: CyberneticsOntolog ForumStructural ModelingSystems Science
cc: FB | Semeiotics • Laws of Form (1) (2) • Peirce List (1) (2) (3)

#CSPeirce #Denotation #Extension #InformationComprehensionExtension #LiarParadox #Logic #Nominalism #Peirce #Pragmatics #Rhetoric #Semantics #Semiositis #Semiotics #SignRelations #Syntax #ZerothLawOfSemiotics