(November 25, 2015 at 2:32 am)Omnibus E Plrus Nhilist Wrote:(July 23, 2014 at 4:42 pm)LastPoet Wrote: If set A belongs to the set of all sets that it doesn't belong, what is it?
Not sure if you are serious of not and I've forgotten most of set theory but I think the answer is set A is an/the empty set.
Sets of sets can quickly lead to consistency problems, but the way it is worded here, can't be *anything* as long as it doesn't contain itself as an element?
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
