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tut 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)?
The difference is what would happen if they were to encounter evidence for the existence of a deity. A weak atheist would start to believe no matter how weak the evidence, wheras the strong atheist would only start to believe if the evidence was stronger than his prior evidence against god. And the strong atheist would probably be much more dilligent in trying to defeat arguments for god.
But then it won't be God, it'll be the specific thing which this is evidence of. "God" is a word gone wrong.
Assuming that "believe" in your usage means "p(God exists)>0.5" in my usage, and similarly "disbelieve"="p<0.5", this would mean that weak atheists are at exact p=0.5, which is a zero measure set. Such people don't exist.
Seriously, it is difficult to imagine an opinion which can be reversed by literally any evidence against, no matter how weak.