Mill's account in 'Utilitarianism' ch. 5 explicitly grounds justice-claims, including desert, in the utility of security, showing backward-looking concepts are instrumentally integrated into utilitarian reasoning.
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A stable, safe condition where people can feel protected and trust that rules and laws will be enforced fairly and consistently.
Utilitarianism(One of Sidgwick's three methods of ethics)
The view that an individual self-evidently ought to aim at the maximum balance of happiness for all sentient beings present and future, whatever the cost to herself; also called Universalistic Hedonism
desert(Cited as a backward-looking basis for justice that utilitarianism cannot straightforwardly accommodate.)
What a person merits or is owed based on their past actions or conduct.
utility(Mill's qualification distinguishing his conception of utility from narrower hedonistic or preference-based interpretations.)
Utility in the largest sense, grounded on the permanent interests of man as a progressive being — not mere immediate pleasure or preference satisfaction.