Classical utilitarianism is committed to both strict additivity and neutrality regarding which persons exist, as Sidgwick's 'Methods of Ethics' makes explicit in its impartial summation principle.

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Classical Utilitarianism(Given as an example of ethical hedonism): A form of ethical hedonism that sees particular pleasant states as the goal of action, aiming at the maximization of pleasure
Henry Sidgwick(The statement references his book and argument): A 19th-century British philosopher who wrote influential works on ethics and how people make moral decisions.
Impartial summation principle(Sidgwick's core principle for calculating what's ethical): The rule that everyone's happiness counts equally and should be added up together without favoring any particular person.
Methods of Ethics(the main work being referenced): Sidgwick's famous book that explores different ways of thinking about what we morally ought to do—basically a guide to ethical decision-making.
Neutrality regarding which persons exist

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