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."


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