Equality, priority or what?

This paper aims to illuminate some issues in the equality, priority, or what debate. I characterize egalitarianism and prioritarianism, respond to the view that we should care about sufficiency or compassion rather than equality or priority, discuss the levelling down objection, and illustrate the significance of the distinction between prioritarianism and egalitarianism, establishing that the former is no substitute for the latter. In addition, I respond to Bertil Tungodden's views regarding the Slogan, the levelling down objection, the Pareto Principle, leximin, the principle of personal good, strict moderate egalitarianism, the Hammond Equity Condition, the intersection approach, and non-aggregative reasoning.