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Is it total or average happiness that we seek to make a maximum?...we — 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."
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Henry Sidgwick
Henry Sidgwick
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Henry Sidgwick was an English utilitarian philosopher and economist and is best known in philosophy for his utilitarian treatise The Methods of Ethics. His work in economics has also had a lasting influence.

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"Despite his inability to build a system, Sidgwick had made Cambridge Benthamite in its social reasoning. Perhaps this development was always inevitable in a university which had aimed to turn out mathematical rather than classical curates. But it had important consequences. Only a philosophy based on a hedonistic calculus could provided exact reasoning about social policy. Alfred Marshall was a product of Sidgwicks Cambridge. On the other hand, Sidgwick left moral philosophy in a mess. Intuitionist ideas revived, with an admixture of Hegelianism, in the more dynamic form of Idealism. But its headquarters were at Oxford rather than Cambridge; its high priests the Oxford philosophers Bradley and T. H. Green. Cambridge had become too critical, too empirical, to accept its ethics in metaphysical form. The way was open for G. E. Moore to construct a Cambridge system detached from both Benthamism and metaphysics. Moore was as much a product of Sidgwicks failure as was Marshall."
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Henry Sidgwick