Not sure where this "belief" fits on the continuum but here it is. The definition of agnostic that appeals to me relates to the idea that if God exists, he is by definition unknowable. Since there's no point concerning ourselves the unknowable, there's no point in God.
This covers both the existence and non-existence of God so it is a sort of "don't know/don't care" argument, but at least it has logic behind it. I agree that agnosticism has been characteristed as intellectual cowardice, but I'm not sure atheism has any intellectual basis to it at all. (Does it? I might have missed something.)
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