COGNITIVE DISSONANCE
psychological conflict resulting from incongruous beliefs and attitudes held simultaneously
This is just not something I can suffer from. I could find out tomorrow that something I always thought was true was actually incorrect, but I wouldn't try and hold both answers in my head at once. I'd simply replace the incorrect one with the correct one. That happens all the time anyway. You'd be amazed at the number of things I thought were true that turned out not to be.
It might be that the correct answer is in some doubt. But that's okay too. As long as I don't have to take one answer into my heart and marry it then it's no trouble to me to accept that we don't know the answer.
Religion requires you to hold onto the previous answer and your natural intelligence requires you to see the correct answer. That is bound to have a harmful effect eventually. The more faithful you are and the more intelligent and educated you are the more often this is going to arise. Many religious cultures prize ignorance of everything outside religion and you can see why.
People deal with this in different ways. Some people avoid looking at any answers in case one of them turns out to contradict an important belief. They may try to ban the teaching of certain subjects in schools. They may make blasphemy laws so they won't hear the truth in public and so on.
Others turn to obfuscation to avoid looking at the truth. You can show them the box they believe contains something important and say "look it's empty!" and they will look away.
They may say "oh it's too literal to actually look in the box. We must instead consider the context of the box and our observation of it. We must read some learned books on box examination and only then look in the box with the eyes of our spirit (while actually keeping our eyes firmly covered)".
Others may say that we don't need to know what's in it, but can just trust that it will be the right thing.
I am free to look into any box at any time and I can tell you that it's much easier and makes for a relaxed life.