This paper offers a formal analysis of continuity, welfarism, value satiability, lifeboat cases, along with their interconnectedness with sufficientarianism, with particular attention to the recent defences of sufficientarianism by Ben Davies and Lasse Nielsen in response to Hun Chung’s Prospect Utilitarianism (PU). It demonstrates how precise formal definitions help resolve conceptual ambiguities and sharpen philosophical argumentation in distributive ethics. Without such precision, one risks misidentifying or mischaracterizing important normative concepts and theories, leading to confusion or strawman critiques. By highlighting these risks, the paper underscores the methodological importance of precise definitions and formal analysis in ensuring clarity, consistency, and rigor in ethical theorizing.
