(September 8, 2014 at 1:34 pm)StealthySkeptic Wrote: A conundrum like what you're proposing is not actually: "This statement is true. This statement is false."
The real brain-bender is: "The following statement is true. The previous statement is false."
Consider the set of all sets which do not contain themselves. Does it contain itself?
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition