Jack comments on Unsolved Problems in Philosophy Part 1: The Liar's Paradox - Less Wrong

4 Post author: Kevin 30 November 2010 08:56AM

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Comment author: Jack 06 December 2010 02:57:36AM *  2 points [-]

I'm comfortable (mostly, it's a bit of a bullet bite) saying 'all sentences are either true or false' doesn't have a truth value, since to determine one you have to reference the sentence itself and that function doesn't terminate. You can say in English or a Meta-language that all well-formed formulas in some system are either true or false. But you can't say this in the object language.