In the 1896 case of The Conqueror, the U.S. Supreme Court dealt with a dispute over maritime law and salvage rights. A British ship named "The Conqueror" had run aground near New York Harbor during a storm and was in danger of sinking. An American tugboat came to its aid, saving both the vessel and its cargo from destruction. However, when it came time for compensation, disagreements arose between the two parties involved - specifically regarding how much should be paid as salvage reward by The Conqueror's owners to those who saved their ship. The court ruled that while salvors are entitled to generous rewards for their services under maritime law, these rewards must not amount to an undue proportion of the value saved – essentially stating that they cannot claim more than what is reasonable or fair considering all circumstances surrounding each individual case. This decision set important precedents in international maritime law concerning salvage operations: establishing guidelines on determining appropriate compensation based on factors such as risk taken by salvors; skill required; value of property risked/saved etc., thereby ensuring equitable treatment within this specific area of legal practice.

In the dissenting opinion for The Conqueror case, Justice Harlan argued that the majority's decision was a misinterpretation of maritime law. He disagreed with their conclusion that an in rem action could not be brought against a vessel for damages caused by its negligent operation unless it was under charter at the time of the accident. According to him, this ruling contradicted established principles and precedents which held that such actions were permissible regardless of whether or not there was a charter party involved. Furthermore, he contended that even if one accepted this interpretation of maritime law, it should only apply when there is evidence showing negligence on part of those who chartered or operated the ship rather than being assumed as default position. Thus, he believed that lower court’s judgment holding The Conqueror liable should have been upheld.