Can someone actually claim that Darth Vader exists?

Can someone think that Yoda actually exists?

Well, if you read Parmenides, you will answer “Yes” to both these questions.

How can you refer to something that does not “exist”? How can you even talk about something which does not “exist”? What “is not” does not exist and noone can grasp the “non existent”. There is only one solution to the “puzzle”: everything exists.

Too absurd. Or maybe too logical?