I typically find myself wanting to verify every single fact or idea that I hadn't heard of before, and say either "hold on, I need to think about that for a few minutes" or "let me check that on Google/Wikipedia".

But this seems to me, at the very least, irrationally inefficient. You have a finite amount of time, and it can surely be put to use much more efficiently than verifying every single new fact and idea.

My solution is to try to not have any opinion on most subjects, other than background ignorance, despite having heard various specific claims. (And I sometimes argue with people that they, too, should have no opinion, given the evidence they are aware of!)