Smullyan wrote a thing listing all these bizarre, complex things the Cheshire Cat believes, explained by "Everything he believes is false"https://twitter.com/originalspin/status/823651730957209600 …
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Replying to @arthur_affect
So, for instance, the Cheshire Cat always says what he believes, but he BELIEVES that he always LIES about what he believes
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He believes he always intends to tell the truth (he doesn't) but that what he says ends up being the opposite of what he believes (it isn't)
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