This site is about the justice system as a whole. It is primarily concerned with its mathematical foundations of the legal system, but also discusses corrections, rehabilitation and punishment. Estimation and decision theory for compensation is also discussed.
Mathematics of the Justice System
Like most of mathematics, the discussion here is largely concerned with an idealized system, but the problem of a migration path from our current ridiculous system to a defensible one is discussed.
Consider the decisions of these three judges, as compared with some known facts.
In this example, a majority vote of the three judges always produces the correct verdict. As regards these five cases, the tribunal performs perfectly, not making a single mistake. Yet each individual judge made one mistake. This is the beauty of a well chosen tribunal, it can perform much better than the individuals composing it.
From a mathematical point of view, one can say that this tribunal performs well because of its low error-covariance. In an era during which judges are either elected or are political appointees, there is no reason whatsoever to suppose that they would have little error-covariance and form an effective tribunal. That is a typical flaw in our legal systems. Basic mathematical principles are ignored in favour of politics. But we can fix this!
Corrections, Rehabilitation, Punishment and Retribution
This is an important part of making society work, quite distinct from the judicial matter of deciding whether a person is innocent or guilty. It is also distinct from the judicial question of how much punishment a person deserves or how much correction that person needs.
Often such punishment will involve incarceration in what is usually referred to as a correctional institution. This is an example of what I describe on another website as an engineered social environment. A discussion of them will be mostly confined to that site, but insofar as their use is a part of the criminal justice system, it will be included here.