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KeithWilson's avatar

Is the liar paradox easy to solve?

Asked by KeithWilson (835points) May 6th, 2010

I say that if you say “this sentence is not true” then your denying the sentence itself and therefore the statement is false. Ive read up on the subject and know that there are reasons to dismiss this line of reason, but that there are also reasons to accept it. There are also other ways out of the liar paradox that are equally acceptable if for completely different reasons. Since there are multiple ways out of the liar paradox, it seems to reason that simply picking one based soley on preference is sufficient and nobody could fault you for interpreting your answer to have a simpler solution or a higher probablity of being correct. The question is, in light of these arguements, is the liar paradox easy to solve?

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13 Answers

rebbel's avatar

These things make my mind boggle, so i can’t say that what i say is true or false, but i would say that if he who said that line is known for always lying then i think the sentence is true.

KeithWilson's avatar

@rebbel that has to do with backround information or experience and significantly changes the question. The more precise problem with the liar paradox is seen when you regard it as a stand-alone proposition with the intention of assigning it a truth-value. (True or False)

nebule's avatar

The sentence is true since to are affirming the falsity of what the statement is asserting (which is that it is false)... I reckon anyway

nisse's avatar

I think the statement is best described as neither true nor false, but “undecided”, “unknowable” or “empty”.

Also, obligatory XKCD reference.

wonderingwhy's avatar

Yes, provided you’re willing to step out of the circular logic of it. “It is true that…” if you accept an inherent truth behind the statement it seems a bit less paradoxical.

Cruiser's avatar

Language as a tool of communication is quite archaic by it’s nature and open to many forms of interpretation and that alone would suggest there is nothing paradoxical about the liar paradox. The use of words to communicate virtually every statement includes an implicit assertion of its own truth.

I did though find a great way to expedite an end to all Liar Paradox discussions here…
http://chaospet.com/2009/07/21/135-liar-paradox/

talljasperman's avatar

If you belive that the speaker is an idiot… then the paradox goes away

anartist's avatar

If the liar paradox is accepted: i.e..Joe will always tell the truth and Moe will always lie,
it can be treated mathematically. a positive x a negative will always be a negative
Ask Joe what Moe will say —the truth about a lie = a lie
Ask Moe what Joe will say— a lie about the truth = a lie

If your are getting into other issues like no one is necessarily lying, but people have different ideas, that is not the liar’s paradox

ratboy's avatar

“yields a falsehood when appended to its own quotation” yields a falsehood when appended to its own quotation.

Fyrius's avatar

@anartist
Way to not read the question.

I’m with @nisse on this. The sentence is meaningless. It has no semantic content.
Here’s a trickier one: “all rules have exceptions.”

whitenoise's avatar

Göbel, Escher, Bach

PacificToast's avatar

You cannot say that statement and mean it or else the universe will explode.

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