- #1

- 2

- 0

Considering the Cantor´s set concept, can a set be member of itself?

Although I suppose that the answer is yes, my intuition answer no, it can´t!

"A set is a collection into whole of definite, distinct objects of our intuition or our thought. The objects are called the elements of the set."

The elements of a Set have to be definite to Set exists.

When I imagine a Set as a element of itself, it have to be definite to my intuition. This Set is not definite to my intuition, cause I need first imagine his definite elements. It never ends! Thats why a set cant be member of itself.

Would someone explain where my affirmation is wrong? thanks.