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!

Printable View

- March 10th 2011, 01:55 PMjstarks44444Set of all sets paradox
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! - March 10th 2011, 02:06 PMPlato
- March 10th 2011, 02:11 PMTheChaz
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. - March 10th 2011, 02:43 PMtopsquark
(sighs) I need a shave....

-Dan

(Sorry, I just couldn't resist that one.)