Nothing can be metaphysically necessary solely through it's own properties, because if it did not exist it would not have these properties (i.e.such claims contain a vicious circularity, existence would be a prerequisite for necessity).
I agree. Nothing is metaphysically necessary.
Does it follow that the empty set is metaphysically necessary, given that its content (i.e. nothing) is metaphysically necessary?
(I'm just having a bit of mathematical fun with the topic.)
Fundamentalism - the anti-American, anti-Christian branch of American Christianity