> I'm not asking whether you have a reason to make up your mind on the question

I am. It is central to the discussion. If there is no reason to make up your mind, why would you do it?

> Is math an area where you can make up your mind?

I don't know.

> Do you know whether you know the answer to the question I posed above?

I don't know. If I were to dedicate the resources necessary to come to know, what advantage would I gain?