The science which teaches the rights subsisting between nations or states, and the obligations correspondent to those rights. Vattel’s Law of Nat. Prelim. Section 3. Some complaints, perhaps not unfounded, have been made as to the want of exactness in the definition of this term. Mann. Comm. 1. The phrase international law has been proposed, in its stead. 1 Benth. on Morals and Legislation, 260, 262. It is a system of rules deducible by natural reason from the immutable principles of natural justice, and established by universal consent among the civilized inhabitants of the world; in order to decide all disputes, and to insure the observance of good faith and justice in that intercourse which must frequently occur between them and the individuals belonging to each or it depends upon mutual compacts, treaties, leagues and agreements between the separate, free, and independent communities. 2. International law is generally divided into two branches; 1. The natural law of nations, consisting of the rules of justice applicable to the conduct of states. 2. The positive law of nations, which consist of, 1. The voluntary law of nations, derived from the presumed consent of nations, arising out of their general usage. 2. The conventional law of nations, derived from the express consent of nations, as evidenced in treaties and other international compacts. 3. The customary law of nations, derived from the express consent of nations, as evidenced in treaties and other international compacts between themselves.