Utilitarianism aggregates welfare across time-slices within a life just as it does across persons, and if intra-personal aggregation is permissible, the asymmetry the objection relies on requires a robust self/other distinction.
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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
asymmetry(Modal logic frame semantics)
A frame property expressible in hybrid logic by the formula c→□¬◇c, meaning if world x accesses world y, then y does not access x.
welfare(Critique of Stein's strict health-welfare correlation)
A subjective notion of well-being that is affected by multiple domains, not health alone.