Is zero an element of the empty set?

$\begingroup$

I have a question about the empty set.

Is $0$ (zero) an element of $\varnothing$? And what is the cardinality of {0}?

$\endgroup$ 14

2 Answers

$\begingroup$

You have two boxes separate from each other. One box contains nothing. The other box has a piece of paper with the number zero on it. The first box represents $\{ \} = \emptyset$ while the second represents $\{ 0 \}$. Two different things. The first has no objects, the second has only one.

$\endgroup$ $\begingroup$

No. The empty set is empty. It doesn't contain anything. Nothing and zero are not the same thing.

$\endgroup$ 4

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password Submit

Post as a guest

Post Your Answer Discard

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy