Let R = {X : X is a set and X is not an element of X }. Is the statement R is an element of R true or false?
Thanks for all the help!
I think I just pooped my pants!
But seriously...
j, you basically have the answer already (even before considering Plato's explicit argument) that this is a paradox. If this is part of an assignment, you should elaborate a bit on the above reasoning (R in R --> R not in R, etc) and maybe add some "original" commentary.