Book i. chap. i. § 3 with the corresponding passage in the former

edition; but here again the alteration has no material importance. In my exposition of the Utilitarian principle (Book iv. chap. i.) I have shortened the cumbrous phrase ‘greatest happiness of the greatest number’ by omitting--as its author ultimately advised--the last four words. And finally, I have yielded as far as I could to the objections that have been strongly urged against the concluding chapter of the treatise. The main discussion therein contained still seems to me indispensable to the completeness of the work; but I have endeavoured to give the chapter a new aspect by altering its commencement, and omitting most of the concluding paragraph.

The greater part, however, of the new matter in this edition is merely explanatory and supplementary. I have endeavoured to give a fuller and clearer account of my views on any points on which I either have myself seen them to be ambiguously or inadequately expressed, or have found by experience that they were liable to be misunderstood. Thus in