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How does Mill define the Greatest Happiness Principle? How is the principle suppose to function as a guide to moral decision-making? 

Question Description

Hi, I had questions about the text

Here is the link: Only read chapter 2:http://www.earlymoderntexts.com/assets/pdfs/mill1863.pdf

1) How does Mill define the Greatest Happiness Principle? How is the principle suppose to function as a guide to moral decision-making?

2.Why is it important that the Greastest happiness principle be applied to the greatest/larger number of persons?

3. What does Mill say about making sacrifices for the greater good? How might this  Mill’s ideal become a problem for potentially virtuous acts which don’t immediately benefit other people?