[zenoo]

Atheism simply means a lack of belief in god(s), it does not necessarily imply an active disbelief in the lack of existence of god(s). Quoted from Soup.


How can lack of belief in god be any different from an active disbelief in the lack of existence of god? Not believing asserts non-existence, either you assert that something exists or you assert that something doesn't exist.
E standing for God exists.
You can believe:
E
~E
~~E still = E
~(~~E) = ~E
It isn't that I don't understand this subtly you are speaking of, I simply don't think the distinction makes any sense.