Suppose a nuclear reactor is being installed in your city. Your friend has reviewed the design and has some serious concerns. Your friend thinks the reactor has a significant chance of melting down. You go to the director of the project. The director says: "Oh that's nothing to worry about. I talked to that guy. He didn't have a mathematical proof that the reactor would melt down." Are you reassured?
It might require context you don't have. Perhaps try one of these intros: https://www.lesswrong.com/posts/T98kdFL5bxBWSiE3N/best-intro...
As for a nuclear reactor in my city, yeah if my friend doesnt have qualifications to make him capable of evaluating the designs of such a technical and esoteric field and someone who is qualified assured me it was fine I would trust them. If we dont trust experts in their fields about their field then we are no better intellectually than the antivaxers and flatearthers
