Obviously false, because he has made no meaningful statement (nobody can 
say what the "lie" in question was) and therefore cannot have been 
intentionally or recklessly stating what is not the case (which is the 
definition of lying)--unless he said it while recumbent, in which case it is 
true!

This is also a paradox because it is part of the constellation of the 
existence problems: A is B, is false if A is empty.

Don't bother really. Frege et al. have been over all this a century ago. You 
have to postulate the axiom of comprehension, axiom of existence, axiom of 
infinity, and you need a meta-escape clause somewhere to satisfy the power 
set... Blah, blah, blah.

CG 

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