Well, the important thing to understand is that the institution called "Justice" in various countries is not there to deliver justice but to uphold the law. It shocks most people's intuition, however there are also some good reasons for it in most situations.

But that does lead to some extreme. I'm pretty sure that it's a current US Supreme Court Justice who claimed that proof of innocence was no reason to cancel an execution that was decided by due process.

Earth provides enough to satisfy every man's need, but not every man's greed. Gandhi

Legal Positivism.

It has its merits, because the "natural law" people are also insane.

I distribute. You re-distribute. He gives your hard-earned money to lazy scroungers. -- JakeS

 >But in legal terms it's considered by many lawyers and judges to be purely procedural.<

Gerechtigkeit durch Verfahren. (Luhmann)

That said, due process is at least achievable. A just result is much more difficult.

Do we know well how are we are treated by law?

Say, is that stuff about us as natural persons or CORPORATIONS serious?

For a change, here is a peculiar story of "science" and law colliding:
The Professor, the Bikini Model and the Suitcase Full of Trouble