Z_M_Davis comments on Atheism = Untheism + Antitheism - Less Wrong
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To make the distinction clear, if "weak atheism" aka "negative atheism" is lack of belief in God, and strong atheism is belief in lack of God, then:
Weak Untheism would be having never heard of God, but having already invented such epistemic rules that, faced with the proposition of God / religion, you will fail to accept it.
Strong Untheism would be having never heard of God, but having already developed epistemic rules of sufficient strength that, first faced with the proposition of God / religion, you will pass definite negative judgment on it.
I have never understood the difference between weak and strong atheism. Either I think God probably exists or that he probably doesn't, but what's the difference between lack of belief in a proposition and a belief in its converse? Is it that, say, who thinks that God doesn't exist with p=0.8 is a weak atheist while with p=1-10^(-9) he would be a strong one? Or is a weak atheist only who has suspended judgement (what's the difference from an agnostic, then)?
A hypothesis: the people who coined the terminology didn't have this concept that you have, of probability theory as normative reasoning.