To make this clearer, imagine something happens (event Y) that changes your opinion of X. Maybe you realise that the thing ‘shouldn’t’ be much evidence at all. You decide it will only slightly affect your opinion. You may end up with a certain conclusion by looking at old evidence and this thing Y (that you have actively decided to only weight a small amount). Then, something may then happen that makes you really believe that thing Y is small evidence. Suddenly, you are looking at the same evidence and this thing Y (weighted the same amount as you tried to weight it before), but you have a different conclusion. It’s like you are looking at the evidence through a different ‘lens’. It seems like you are able to exploit uncertainty around evidence to get differing conclusions depending on this ‘lens’. This whole thing might make you feel large internal distrust.
Can you give an illustrative example?
https://www.lesswrong.com/posts/5JDkW4MYXit2CquLs/your-strength-as-a-rationalist