A proposition is a person's belief if they consider it to be true.1
A cached belief is a belief that a person has formed on some past occasion and hasn't been re-evaluated since then.2
A belief is called a crony belief if it has been adopted primarily to make a certain impression on others.3 A belief is called a merit belief if it has been adopted primarily to accurately model the world.3 Thus, beliefs have two dimensions: pragmatic value and social value.3
Humans are incentivized to have crony beliefs because adopting the beliefs that would make them the most allies increases their chances of survival.3
Usually, letting go of misbeliefs and adopting new beliefs with more pragmatic value is a pleasure:
If I believe that my daughter's soccer game starts at 6pm, but my neighbor informs me that it's 5pm, I won't begrudge his correction — I'll be downright grateful.3
For crony beliefs, this is not the case, since crony beliefs optimize for social value, not pragmatic value.3