Final answer:
The reputation of closed-mindedness about religion among philosophers is a result of a misunderstanding of Logical Positivism, a specific school of thought. Logical Positivists' dismissal of religious talk was based on their views about language and meaning.
Step-by-step explanation:
According to the information provided, the reputation of closed-mindedness about religion among philosophers is a result of a misunderstanding of one particular school of thought - Logical Positivism. While it is true that Logical Positivists held religious talk to be meaningless, this was not simply a matter of being closed-minded or dogmatic about religion. Their dismissal of religious talk was based on their specific views about the nature of language and meaning, which met its demise some time ago.