I take it that the good of mankind means the attainment by every man of all the happiness which he can enjoy without diminishing the happiness of his fellow men.
If you ever find happiness by hunting for it you will find it as the old woman did her lost spectacles safe on her own nose all the time.
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Happiness is within. It has nothing to do with how much applause you get or how many people praise you. Happiness comes when you believe that you have done something truly meaningful.