Ah ok, so no. F v B is about consideration, not partial settlement. An agreement not to sue for interest in exchange for a debt being paid in instalments is not the same as as offering less than the full amount and having it accepted as full and final settlement.
You clearly don't understand why the case is so important. As I said above, the case transcends its facts. This is how the law works. The facts of the case itself were very particular. But the principle was much broader. It is 100% about the principle of part payment. It is the leading case and has been for almost 150 years. Here is a third attempt:
AI Overview
Foakes v Beer is important because it established the rule that paying part of a debt is not valid consideration for a promise to waive the entire debt, reinforcing the principle from Pinnel's Case. This case affirmed the "pre-existing duty" rule in the context of part payments, meaning a debtor must provide something extra—like paying early or in a different form—to have their promise of full payment be legally binding. The ruling, though criticized for failing to recognize practical realities, remains a key case on the doctrine of consideration in English contract law.
