Inspired by this thread, I was wondering if there is any concept of infinity in legal contexts. For example, if Joe and Bill sign a contract stating, “Joe will mow Bill’s lawn for a payment of aleph-null dollars.”, could such a contract be valid? Would a court rule that Joe may obtain an indefinite garnishment against Bill’s bank account or salary and continuously seize property for the rest of Joe and Bill’s life? If an agreement states, “In exchange for $5, Joe will give to Bill an infinitesimal percentage interest in the profit of Joe’s business”, and Joe’s business makes $40,000 profit, exactly how many $$$ does Bill get? Would an American court rule that the payment shall be one mill, because it is the smallest amount of money that is legally recognized? Would the court order the payment rounded down to zero?
Are there any statutes that purport to specify what happens when a contract mentions an infinite amount of time, an infinite amount of money, or an infinite amount of goods or materials, or a similar infinitesimal? Have their been any cases where the court ruled on such a clause to such an extent that they needed to define what “infinite”, “infinity”, “aleph-null”, “aleph-one” or some other word actually means? Would the court strike any clause that referenced an infinite or infinitesimal amount as totally void, or would it substitute a specific value such as one million or one cent?
What about outside of contract law?