The good of any one individual is of no more importance, from the point of view...of the Universe, than the good of any other; unless, that is, there… - Henry Sidgwick

Is it total or average happiness that we seek to make a maximum?...we foresee as possible that an increase in [population] numbers will be accompanied by a decrease in average happiness...if we take Utilitarianism to prescribe, as the ultimate end of action, happiness on the whole...it would follow that, if the additional population enjoy on the whole positive happiness, we ought to weigh the amount of happiness gained by the extra number against the amount lost by the remainder. So that, strictly conceived, the point up to which, on Utilitarian principles, population ought to be encouraged to increase, is not that at which average happiness is the greatest possible...but that at which the product formed by multiplying the number of persons living into the amount of average happiness reaches its maximum.

It is sometimes said that we live in an age that rejects authority. The statement, thus qualified, seems misleading; probably there never was a time when the number of beliefs held by each individual, undemonstrated and unverified by himself, was greater. But it is true that we only accept authority of a peculiar sort; the authority, namely, that is formed and maintained by the unconstrained agreement of individual thinkers, each of whom we believe to be seeking truth with single-mindedness and sincerity, and declaring what he has found with scrupulous veracity, and the greatest attainable exactness and precision.

I may begin by laying down as a principle that ‘all pain of human or rational beings is to be avoided’; and then afterwards may be led to enunciate the wider rule that ‘all pain is to be avoided’; it being made evident to me that the difference of rationality between two species of sentient beings is no ground for establishing a fundamental ethical distinction between their respective pains.