False
In Furman v. Georgia (1972), the Supreme Court did rule that the death penalty, as it was applied at the time, was unconstitutional because it was found to be arbitrary and capricious, leading to discriminatory applications. However, the ruling did not focus solely on the requirement to address specific mitigating and aggravating circumstances; rather, it highlighted the lack of consistent standards and the random nature of death penalty sentences. The decision effectively put a halt to capital punishment in many states until new statutes were created to address the Court's concerns.