In the case of Stone v. United States in 1896, the Supreme Court ruled on a matter concerning land ownership and mining rights. The plaintiff, Stone, had purchased a piece of property from an individual who had obtained it under the Preemption Act - legislation that allowed settlers to stake claim on public lands for personal use before they were officially surveyed. Later, this land was discovered to contain valuable minerals and was claimed by another party under mining laws which stated that all mineral-rich lands should be freely open to exploration and purchase. The court held that although preemption claims took precedence over subsequent mining claims according to law at the time when Stone's predecessor acquired his title, later amendments made these two types of claims coequal; thus allowing both parties rightful possession over different aspects of same parcel: surface rights for agricultural purposes (Stone) versus subsurface ones for extraction (the other party). This decision clarified how conflicting interests between agriculture and mining could coexist within American property law framework.

In the dissenting opinion for Stone v. United States, Justice Harlan argued that the majority's decision was inconsistent with previous rulings of the court and violated principles of constitutional law. He contended that a person cannot be tried twice for the same offense, even if new evidence comes to light after their initial trial. Furthermore, he believed it was unjust to allow a retrial based on an error made by a judge in instructing jurors about reasonable doubt because this could lead to endless litigation and uncertainty in legal proceedings. In his view, once a jury has reached its verdict under proper instructions from the court regarding what constitutes reasonable doubt, they should not be allowed to reconsider their decision unless there is clear proof of fraud or misconduct during deliberations.