Abstract
According to common interpretations of mill's 'proof' of utility (chapter 4 utilitarianism), The conclusion, "the general happiness is desirable", Is said to be a simple maximizing conception and to ignore the competing desirability or deontic claims of justice. I offer a construction of the 'proof' such that the term "general happiness" in the conclusion is seen to include equitable distribution of happiness among persons as a rational condition of goodness. This construction turns crucially on the idea that each person has an equal rational claim for as much happiness as possible; accordingly, As a consequence of resolving the conflict of rational claims, The general happiness is conceived as that state of affairs in which each person gains as much happiness as possible compatible with a like result for all others