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meaning in paradoxical statements 3 Years, 6 Months ago
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This sentence is false.
If this sentence is true, it's false. If it's false, it's true. That's paradoxical.
The most common solution brought to this paradox that I've encountered is the semantics one - the one that says the above sentence is meaningless, and therefore can't have a truth value. What I don't understand is why can't a sentence like the above have a meaning but not a truth value? Why does meaning imply truth value?
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Re: meaning in paradoxical statements 3 Years, 6 Months ago
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I thought the usual way to sort this out was via the idea of levels of reference?
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A picture held us captive ...
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Re: meaning in paradoxical statements 3 Years, 6 Months ago
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I just had a thread on Curry's Paradox where we talked about possible solutions (e.g. rejecting truth-in/truth-out, or the inference rules that garner the paradox, or dialetheism).
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The kind of philosophy one chooses depends upon what kind of person one is. ~ J.G. Fichte
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Re: meaning in paradoxical statements 3 Years, 6 Months ago
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Is "Liar" the same as Curry's paradox, hyper? As I think Liar is easy to sort out via Tarski/Russell.
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Re: meaning in paradoxical statements 3 Years, 6 Months ago
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[quote1224994591=Diotima]
Is "Liar" the same as Curry's paradox, hyper? As I think Liar is easy to sort out via Tarski/Russell.
[/quote1224994591]
No it's not the same but they're related. Curry's is just a version of the Liar Paradox that Tarksi/Russell doesn't sort out.
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The kind of philosophy one chooses depends upon what kind of person one is. ~ J.G. Fichte
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Re: meaning in paradoxical statements 3 Years, 6 Months ago
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[quote1224994629=Diotima]
I thought the usual way to sort this out was via the idea of levels of reference?
[/quote1224994629]
I've never heard of that. Can you enlighten me?
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