In Arkansas Valley Smelting Company v. Belden Mining Company, the United States Supreme Court was asked to decide whether a mining company was liable for damages caused by the smelting of ore that it had sold to a smelting company. The Court held that the mining company was liable for the damages caused by the smelting of the ore, as the mining company had a duty to warn the smelting company of any potential risks associated with the ore. The Court reasoned that the mining company had superior knowledge of the ore and its potential risks, and that the smelting company was not in a position to discover the risks on its own. The Court also held that the mining company was liable for the damages even though the smelting company had assumed the risk of the ore. The Court reasoned that the mining company had a duty to warn the smelting company of any potential risks associated with the ore, and that the smelting company had not assumed the risk of the ore in a manner that would absolve the mining company of its duty to warn.

In the case of Arkansas Valley Smelting Company v. Belden Mining Company, the Supreme Court was tasked with determining whether a contract between two parties could be enforced when it had been made in violation of an existing state law. The majority opinion held that such contracts were not enforceable and thus dismissed the plaintiff's claim for damages against the defendant. However, Justice Field dissented from this decision on several grounds. He argued that while states have a right to regulate their own affairs, they do not have authority to interfere with private contracts which are otherwise valid under federal law; therefore, he believed that any state laws prohibiting certain types of contracts should be disregarded by courts if those same agreements would still be considered legal under federal statutes or common law principles. Furthermore, Justice Field contended that even if there is some conflict between state and federal regulations regarding contractual matters, then it is up to Congress - rather than individual states - to resolve them through legislation or other means as necessary. Ultimately his dissent concluded by asserting that since no clear evidence existed showing how enforcing this particular contract would violate public policy or cause harm in any way – regardless of its alleged illegality according to local statutes – then it should stand as binding upon both parties involved