Definition and synonyms of three-dimensional from the online English dictionary from Macmillan Publishers Limited.
English (language). In non-legal usage, the expression criminal disposition is just a way of describing someone with a criminal bent of mind. In legal usage, a disposition is the final settlement of matters in a lawsuit and a judge's ruling (such as award of damages, etc). In criminal procedure, the disposition is the sentencing and final settlement of other matters of the criminal case.
When a case is set for disposition, typically this means that the case will either be disposed by the defendant pleading guilty to the crime (or the prosecutors dismissing the case) or it will be set for trial. This is a way for the judge to manage his docket by forcing the attorneys to move things along.