In the case of Kellogg Bridge Company v. Hamilton, the Supreme Court of the United States was asked to determine whether a contract between the Kellogg Bridge Company and the Hamilton Bridge Company was valid. The Kellogg Bridge Company had contracted with the Hamilton Bridge Company to build a bridge across the Mississippi River. The Hamilton Bridge Company had agreed to pay the Kellogg Bridge Company a certain amount of money for the construction of the bridge. The Supreme Court held that the contract between the two companies was valid and enforceable. The Court found that the contract was supported by consideration, meaning that both parties had received something of value in exchange for their agreement. The Court also found that the contract was not against public policy, as it did not involve any illegal activity or harm to the public. The Court also held that the Hamilton Bridge Company was liable for the amount of money that it had agreed to pay the Kellogg Bridge Company for the construction of the bridge. The Court found that the Hamilton Bridge Company had breached its contract with the Kellogg Bridge Company by failing to pay the agreed-upon amount. The Court ordered the Hamilton Bridge Company to pay the Kellogg Bridge Company the amount of money that it had agreed to pay for the construction of the bridge.

In the case of Kellogg Bridge Company v. Hamilton, the Supreme Court was tasked with determining whether a contract between two parties had been breached by one party and if so, what damages should be awarded to the other. The majority opinion held that there had indeed been a breach of contract and that damages should be paid accordingly. However, Justice Field dissented from this opinion on several grounds. He argued that since no specific amount for damages was specified in the original agreement between the parties, it could not be determined how much compensation would have been due even if there had not been any breach of contract; thus he felt it inappropriate to award any such sum as part of an action for breach thereof. Furthermore, he noted that while certain expenses were incurred by one party in reliance upon their agreement with each other, these costs were too speculative to form an adequate basis for awarding compensatory relief against another party who may or may not have caused them directly through their own actions or omissions. Finally Justice Field concluded his dissent by noting that regardless of which side ultimately prevailed in this dispute over contractual obligations and remedies available thereto under law - both sides would suffer some degree of harm either way due to lack clarity surrounding terms therein originally agreed upon at time when they entered into said arrangement together