If both your statements are correct then it must be empty. We know it's a container because you've said so. However, we don't know why it can only hold 0 items.
Therefore, you have a container that can only be empty. It can't be full because that term infers a quantity which zero cannot satisfy.
Therefore, you have a container that can only be empty. It can't be full because that term infers a quantity which zero cannot satisfy.