Adam's resolution is a fancy name for a way of solving a problem or figuring out an answer when you don't have all the information that you need.
Imagine you are doing a puzzle, but you don't have all the pieces. Adam's resolution says that you can still try to figure out what the missing pieces might look like by using the ones that you do have.
Basically, you use what you know to make an educated guess about what you don't know. For example, if you were missing a puzzle piece that was green with a straight edge, you might look at the other green pieces you have and the straight edges to see if you can create a shape that might fit where the missing piece goes.
In the same way, you can use Adam's resolution to solve bigger problems. You can look at the information you do have and use it to make logical assumptions about what you don't know. It's like putting together a puzzle with missing pieces - you might not have all the information you need, but you can use what you do have to try and find a solution.