It is for them alone to point out what we ought to do… By the principle of utility is meant that principle which approves or disapproves of every action whatsoever according to the tendency it appears to have to augment or diminish the happiness of the party whose interest is in question: I say of every action whatsoever, and therefore not only of every action of a private individual, but of every measure of government. In Chapter IV, Bentham introduces a method of calculating the value of pleasures and pains, which has come to be known as the hedonic calculus.
Bentham's book An Introduction to the Principles of Morals and Legislation was printed in but not published until It is possible that Bentham was spurred on to publish after he saw the success of Paley's The Principles of Moral and Political Philosophy.
Bentham's work opens with a statement of the principle of utility: It is for them alone to point out what we ought to do… By the principle of utility is meant that principle which approves or disapproves of every action whatsoever according to the tendency it appears to have to augment or diminish the happiness of the party whose interest is in question: I say of every action whatsoever, and therefore not only of every action of a private individual, but of every measure of government.
In Chapter IV, Bentham introduces a method of calculating the value of pleasures and pains, which has come to be known as the hedonic calculus.
In addition, it is necessary Greatest good for the greatest number consider "the tendency of any act by which it is produced" and, therefore, to take account of the act's fecundity, or the chance it has of being followed by sensations of the same kind and its purity, or the chance it has of not being followed by sensations of the opposite kind.
Finally, it is necessary to consider the extent, or the number of people affected by the action. Perhaps aware that Hutcheson eventually removed his algorithms for calculating the greatest happiness because they "appear'd useless, and were disagreeable to some readers",  Bentham contends that there is nothing novel or unwarranted about his method, for "in all this there is nothing but what the practice of mankind, wheresoever they have a clear view of their own interest, is perfectly conformable to.
Mill " and can be more "a crude version of act utilitarianism conceived in the twentieth century as a straw man to be attacked and rejected. His seminal work is concerned with the principles of legislation and the hedonic calculus is introduced with the words "Pleasures then, and the avoidance of pains, are the ends that the legislator has in view.
This is considered in The Theory of Legislation, where Bentham distinguishes between evils of the first and second orders. Those of the first order are the more immediate consequences; those of the second are when the consequences spread through the community causing "alarm" and "danger".
It is true there are cases in which, if we confine ourselves to the effects of the first order, the good will have an incontestable preponderance over the evil. Were the offence considered only under this point of view, it would not be easy to assign any good reasons to justify the rigour of the laws.
Every thing depends upon the evil of the second order; it is this which gives to such actions the character of crime, and which makes punishment necessary.
Let us take, for example, the physical desire of satisfying hunger. Let a beggar, pressed by hunger, steal from a rich man's house a loaf, which perhaps saves him from starving, can it be possible to compare the good which the thief acquires for himself, with the evil which the rich man suffers?
John Stuart Mill Mill was brought up as a Benthamite with the explicit intention that he would carry on the cause of utilitarianism. It would be absurd that while, in estimating all other things, quality is considered as well as quantity, the estimation of pleasures should be supposed to depend on quantity alone.
The word utility is used to mean general well-being or happiness, and Mill's view is that utility is the consequence of a good action. Utility, within the context of utilitarianism, refers to people performing actions for social utility.The Beatles left behind so many achievements, accomplishments and innovations in their seven years together.
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Utilitarianism is an ethical theory that states that the best action is the one that maximizes utility, which is usually defined as that which produces the greatest well-being of the greatest number of people, and in some cases, sentient animals.
"Extracts from Bentham's Commonplace Book", in Collected Works, x, p. ; He credits Priestley in his Essay on the First Principles of Government () or Beccaria with inspiring his use of the phrase, often paraphrased as "The greatest good for the greatest number", but the statement "the greatest happiness for the greatest number" actually.