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Manfred comments on Unsolved Problems in Philosophy Part 1: The Liar's Paradox - Less Wrong
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Comments (130)
What about
'all sentances are either true or false'.
This sounds like the sort of sentance we'd want to assign a truth value to. Yet we can instanciate it into
'this sentance is either true or false'
Which is problematic - and yet it seems that it must have a truth value if the first sentance did.
Did you intend to note that "this sentence is either true or false" is a true sentence (for most methods of evaluation) that can't be evaluated by Yvain's fairly straightforward approach? Because that's definitely interesting (thanks Jack).
Just not messing with recursion, in general, is a fairly old solution and not very satisfying. I blame Yvain's writing ability for leading 9 people astray :D