So, where would
logical positivists fall on this spectrum?
Roughly and in my understanding, a logical positivist holds that any statement that has no empirical implications has no meaning.
A statement has an implication if disproving the thing it implies proves the statement is false.
A yes/no question for which both answers are meaningless is a meaningless question.
If a logical positivist believes the question "is there a god?" is meaningless, does that make that logical positivist an atheist or an agnostic?