Article III of the U.S. Constitution establishes the judicial branch of government, which is essential for achieving the goal of "establishing justice" as outlined in the Preamble. The judicial branch is responsible for interpreting laws, ensuring that justice is administered fairly and impartially. By creating a system of courts and defining the jurisdiction of the judiciary, Article III ensures that disputes can be resolved through a structured process, protecting the rights of individuals and maintaining the rule of law.
The establishment of an independent judiciary helps to safeguard against abuses of power and provides a check on the other branches of government. This reinforces the principle of justice by ensuring that laws are applied equally and fairly, thus helping to create a society where individuals can seek redress and protection under the law. Therefore, the establishment of the judicial branch is integral to fulfilling the Preamble's aim of establishing justice.