(September 8, 2014 at 1:47 pm)Alex K Wrote:(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?
How many logical statements could a logician chuck if a logician could chuck logic?
Luke: You don't believe in the Force, do you?
Han Solo: Kid, I've flown from one side of this galaxy to the other, and I've seen a lot of strange stuff, but I've never seen *anything* to make me believe that there's one all-powerful Force controlling everything. 'Cause no mystical energy field controls *my* destiny. It's all a lot of simple tricks and nonsense.
Han Solo: Kid, I've flown from one side of this galaxy to the other, and I've seen a lot of strange stuff, but I've never seen *anything* to make me believe that there's one all-powerful Force controlling everything. 'Cause no mystical energy field controls *my* destiny. It's all a lot of simple tricks and nonsense.
