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Let t0 = FALSE and t1 = TRUE. In fuzzy logic, 0 or 1 can be switched out for any real number in the interval [0,1]. This lets us construct all manner of liar/honest-like sentences, ranging from, "This sentence maps to t0," to, "This sentence maps to t1."

I've read a lot about the liar paradox and its brethren, and one essay (Wojciech Żełaniec, "Why the 'veridic' is not any better than the 'liar'") about honest/truth-teller sentences, but I haven't seen anything about, say, "This sentence maps to t0.76549532...," or what. Are there analyses of these sentences in the literature?

EDIT: it seems like you could interpret t0.5+ as "mostly true," so, "This sentence maps to t0.5+," could be read as, "This sentence is mostly true."

Conifold
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Kristian Berry
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    [The Liar and Related Paradoxes by Vezerides and Kehagias](https://arxiv.org/abs/cs/0309046) has extensive bibliographic remarks on the literature that treats the Liar in the context of fuzzy logic, "*the Liar and related self referential collections cease to be paradoxical in the context of fuzzy logic*". On Fuzzy Liars ("this sentence is 0.3 true") specifically see [Grim, Self-reference and chaos in fuzzy logic](http://pgrim.org/articles/self-referenceandchaosinfuzzylogic.pdf). One gets truth value oscillations as with the Liar, but with amplitude < 1. – Conifold Apr 01 '21 at 00:28

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