Definition of "atheism"

[Mudhammam]

Could any form of theism ever be stated as a lack of belief? ...

Every form of theism involves a belief in the existence of at least one god.  That is the minimum requirement to be a theist of some kind.  There is no additional doctrinal requirement to be a theist.  Of course, to be a particular type of theist, like, say, a Southern Baptist Christian, then there are more requirements than just belief in the existence of at least one god.  But all people who believe in the existence of at least one god are theists.

For more on these topics:

http://en.wikipedia.org/wiki/Atheism

http://en.wikipedia.org/wiki/Theism

Would you say that God by definition includes "intellect" or "mind," or could someone say, "I believe in a first movent that 'causes motion that is eternal and does cause it during an infinite time,' and that is 'indivisible and without parts and without magnitude,'" and still disavow belief in God?