This is an interesting Maxim in that it tells us that we must judge without corruption. This is harder than merely not taking bribes. It includes making sure there is no benefit for us by judging something in a particular way. Literally it can be looked at as judging without receiving gifts of any kind. It includes looking at ourselves to see where possible corruption might creep into our judgments and actively working to ensure it does not. It involves ensuring that personal bias does not interfere with judging based on facts. It is, in fact, a reminder of the Maxim that tells us “Make just judgments” but includes an exhortation to us about how we are to do that.
We are not allowed to let public opinion influence us when we have to judge. “Just the Facts” is the only way this Maxim allows us to judge things. This is a hard thing to do in the case of high-profile crimes or something that we find personally distasteful. If we are to judge incorruptibly, we may even find ourselves judging someone not guilty because of a lack of evidence when emotionally we would like to find that person guilty. This is one of the hardest things to do, and as such, the reason this Maxim is so important to the rule of law.