Nontheism

Nontheism is a range of both religious and nonreligious attitudes characterized by the absence of espoused belief in a God or gods.

Nontheism seems like it would cover something like an aversion to theism or refusing to participate in the discourse whatsoever whereas atheism is a denial of it and agnosticism is withholding judgement, thus making the terms distinct.

Related terms:
 * Agnosticism
 * Atheism
 * Secular Humanism