Augustus
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Belief" is illogical and unnecessary in relation to effecting probability. Also, you have no logical method of establishing the probability of God's existence. I respect that you THINK you do (just as theists also often think they do). But it's not logically possible. We humans don't have the cognitive scope for it.
Belief is a necessary aspect of probabilistic judgement. If you were certain it wouldn't be probabilistic.
That you think it is "illogical" means you haven't understood the concept.
Also you don't need much "cognitive scope" to operate under the assumption that things don't exist until there is good reason to judge that they do exist.
Again, you do this all the time with other issues.
Atheist are constantly claiming themselves to be operating on "evidence and logic", while the claim theists are not. Since there is no evidence to support choosing atheism as opposed to simply remaining agnostic, I am asking for the logic of it.
Some atheists putting great stock in their own sense of rationality is completely irrelevant.
So far ya'll aren't doing very well at presenting it.
People have presented it just fine, you just aren't doing very well in understanding it without tying yourself in knots based on incorrect assumptions about the basic concepts involved