§1. In the greater part of the treatise of which the final chapter has now been reached, we have been employed in examining three methods of determining right conduct, which are for the most part found more or less vaguely combined in the practical reasonings of ordinary men, but which it has been my aim to develop as separately as possible. A complete synthesis of these different methods is not attempted in the present work: at the same time it would hardly be satisfactory to conclude the analysis of them without some discussion of their mutual relations. Indeed we have already found it expedient to do this to a considerable extent, in the, course of our examination of the separate methods. Thus, in the present and preceding Books we have directly or indirectly gone through a pretty full examination of the mutual relations of the Intuitional and Utilitarian methods. We have found that the common antithesis between Intuitionists and Utilitarians must be entirely discarded: since such abstract moral principles as we can admit to be really self-evident are not only not incompatible with a Utilitarian system, but even seem required to furnish a rational basis for such a system. Thus we have seen that the essence of Justice or Equity (in so far as it is clear and certain), is that different individuals are not to be treated differently, except on grounds of universal application; and that such grounds, again, are supplied by the principle of Universal Benevolence, that sets before each man the happiness of all others as an object of pursuit no less worthy, than his own; while other time-honoured virtues seem to be fitly explained as special manifestations of impartial benevolence under various circumstances of human life, or else as habits and dispositions indispensable to the maintenance of prudent or beneficent behaviour under the seductive force of various non-rational impulses. And although there are other rules which our common moral sense when first interrogated seems to enunciate as absolutely binding; it has appeared that careful and systematic reflection on this very Common Sense, as expressed in the habitual moral judgments of ordinary men, results in exhibiting the real subordination of these rules to the fundamental principles above given. Then, further, this method of systematising particular virtues and duties receives very strong support from a comparative study of the history of morality; as the variations in the moral codes of different societies at different stages correspond, in a great measure, to differences in the actual or believed tendencies of certain kinds of conduct to promote the general happiness of different portions of the human race: while, again, the most probable conjectures as to the pre-historic condition and original derivation of the moral faculty seem to be entirely in harmony with this view. No doubt, even if this synthesis of methods be completely accepted, there will remain some discrepancy in details between our particular moral sentiments and unreasoned judgments on the one hand, and the apparent results of special utilitarian calculations on the other; and we may often have some practical difficulty in balancing the latter against the more general utilitarian reasons for obeying the former: but there seems to be no longer any theoretical perplexity as to the principles for determining social duty.
It remains for us to consider the relation of the two species of Hedonism which we have distinguished as Universalistic and Egoistic. In chap. ii. of this Book we have discussed the rational process (called by a stretch of language `proof') by which one who holds it reasonable to aim at his own greatest happiness may be determined to take Universal Happiness instead, as his ultimate standard of right conduct. We have seen, however, that the application of this process requires that the Egoist should affirm, implicitly or explicitly, that his own greatest happiness is not merely the rational ultimate end for himself, but a part of Universal Good: and he may avoid the proof of Utilitarianism by declining to affirm this. It would be contrary to Common Sense to deny that the distinction between any one individual and any other is real and fundamental, and that consequently ``I'' am concerned with the quality of my existence as an individual in a sense, fundamentally important, in which I am not concerned with the quality of the existence of other individuals: and this being so, I do not see how it can be proved that this distinction is not to be taken as fundamental in determining the ultimate end of rational action for an individual. And it may be observed that most Utilitarians, however anxious they have been to convince men of the reasonableness of aiming at happiness generally, have not commonly sought to attain this result by any logical transition from the Egoistic to the Universalistic principle. They have relied almost entirely on the Sanctions of Utilitarian rules; that is, on the pleasures gained or pains avoided by the individual conforming to them. Indeed, if an Egoist remains impervious to what we have called Proof, the only way of rationally inducing him to aim at the happiness of all, is to show him that his own greatest happiness can be best attained by so doing. And further, even if a man admits the self-evidence of the principle of Rational Benevolence, he may still hold that his own happiness is an end which it is irrational for him to sacrifice to any other; and that therefore a harmony between the maxim of Prudence and the maxim of Rational Benevolence must be somehow demonstrated, if morality is to be made completely rational. This latter view, indeed (as I have before said), appears to me, on the whole, the view of Common Sense: and it is that which I myself hold. It thus becomes needful to examine how far and in what way the required demonstration can be effected.