Saturday, January 24, 2009

Paradoxes

This is one of my favorite paradoxes:

There are sets that are members of themselves such as a set of flocks of sheep is also a flock of sheep.

There are sets that are not members of themselves for example a set of spoons is not a spoon.

If there is a set of sets that are not member of themselves is it a member of itself?

What makes it a paradox is obviously the fact that if it is a member of itself it cannot be a member of itself and if its not then it is.

No comments:

Post a Comment