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Mill seems to be equivocating between them. Since β audible β just means
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β possible to hear β and β visible β just means β possible to see, β in order for
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his analogy to work, Mill must mean β possible to desire β when he talks of
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something as being β desirable. β However, to prove that what we desire is
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good, by β desirable β Mill must mean β worthy of desire β or β good. β While
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it is possible that Mill is not confused and not equivocating between these
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two senses of β desirable, β this would only mean that he is instead guilty of
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committing the β naturalistic fallacy β ; that is, the fallacy of either inferring
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how things should be merely from how things actually are (in this case,
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what we should desire from what we do desire) or trying to defi ne a moral
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Millβs Proof of Utilitarianism 225
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concept with a nonmoral concept (in this case, Mill would be defi ning
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β worthy of desire β and β good β as just amounting to β desired β ).
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Mill β s apparent logical errors continue when, at the tail end of his argument,
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Mill seems to commit the β fallacy of composition. β One commits
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this fallacy whenever one tries to infer something about a whole simply
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because it is true of the whole β s parts. For example, I would be guilty of
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the fallacy of composition if I were to infer that tables were invisible to the
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naked eye just because tables are made of atoms, and atoms are invisible
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to the naked eye. Mill seems to be committing this fallacy when he infers
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that the general happiness is good for the group of all persons simply from
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the fact that he has proven that personal happiness is good for an individual
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person.
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Is this straightforward reading of Mill β s argument for utilitarianism
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correct? Did Mill really put forth an argument for half of utilitarianism that
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is itself riddled with the simplest of logical mistakes? This is unlikely. As a
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result, philosophers have developed a number of more charitable alternative
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interpretations in an attempt to uncover what Mill actually intended. One
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possible way in which philosophers have thought to alter our interpretation
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of Mill β s argument for the better is by taking his analogy to be an attempt
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to show that desire functions as an β indicator β or β evidence β of goodness.
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For example, when someone thinks she hears something and there is no
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reason to think that she is mistaken, then it plausible for us to conclude
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that there actually is a sound present. On this reading of Mill β s argument,
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desire similarly serves as an indicator of something worthy of desire actually
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being present. Such an interpretation would avoid equivocating between
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the two senses of β desirable β and would also prevent Mill from falling prey
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to the naturalistic fallacy. This more charitable interpretation also has the
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advantage of fi tting in well with Mill β s empiricist philosophical attitude.
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Another way in which we might alter our interpretation of Mill β s argument
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for the better is by reinterpreting his apparent commitment of the
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fallacy of composition to instead be an argument concerning how the value
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of happiness for an individual must depend on its intrinsic value. Specifi cally,
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Mill could be interpreted as arguing that if happiness is good for an individual
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to possess, then happiness itself must be good. But if happiness itself
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is good and if we are to judge the moral rightness of our actions by how
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much good they produce, then the rightness of my actions would depend
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not only on how much of my happiness they result in, but also on how my
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actions affect the happiness of others.
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However, this does not exhaust the numerous alternative interpretations
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of Mill β s argument. In fact, Mill β s remarks about the impossibility of providing
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a proof of utilitarianism have led some philosophers to conclude
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that Mill never meant to be giving an argument for utilitarianism in the
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fi rst place. Of course, no matter how successful Mill β s argument for
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226 A. T. Fyfe
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utilitarianism might be under some particular interpretation (if we interpret
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him to be giving one at all), Mill is still only arguing for utilitarianism β s
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welfarist aspect. As we noted at the outset, Mill β s argument fails to address
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consequentialism entirely. Mill simply takes for granted that it is β the doctrine
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of rational persons of all schools β that β the morality of actions
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depends on the consequences which they tend to produce. β This has become
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increasingly regrettable, since much of the controversy surrounding utilitarianism
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has come to concern precisely its consequentialist aspect, something
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that Mill found so uncontroversial that he didn β t even provide an
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argument for it.
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The only proof capable of being given that an object is visible, is that
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people actually see it. The only proof that a sound is audible, is that people
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hear it: and so of the other sources of our experience. In like manner, I apprehend,
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the sole evidence it is possible to produce that anything is desirable, is
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that people do actually desire it. If the end which the utilitarian doctrine
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proposes to itself were not, in theory and in practice, acknowledged to be an
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end, nothing could ever convince any person that it was so. No reason can
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be given why the general happiness is desirable, except that each person, so
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far as he believes it to be attainable, desires his own happiness. This, however,
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being a fact, we have not only all the proof which the case admits of, but all
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which it is possible to require, that happiness is a good: that each person β s
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happiness is a good to that person, and the general happiness, therefore, a
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good to the aggregate of all persons. Happiness has made out its title as one
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of the ends of conduct, and consequently one of the criteria of morality. (Mill
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β Of What Sort of Proof, β 61)
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As to the sentence [ . . . ] when I said the general happiness is a good to the
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aggregate of all persons I did not mean that every human being β s happiness
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is a good to every other human being, [ . . . ] I merely meant in this particular
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sentence to argue that since A β s happiness is a good, B β s a good, C β s a good,
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etc., the sum of all these goods must be a good. (Mill β Excerpt from a Letter, β
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270)
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Generic Argument for Traditional Utilitarianism
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P1. Consequentialist Theory of the Right. An action is right for someone
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to perform if and only if, of the available actions, it is the action that
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would maximize total net good over bad in existence β otherwise, the
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action is wrong.
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P2. Welfarist Theory of the Good. The only intrinsic good is someone β s
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happiness while the only intrinsic bad is someone β s unhappiness.
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C1. Traditional Utilitarianism. An action is right for someone to perform
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if and only if, of the available actions, it is the action that would
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Millβs Proof of Utilitarianism 227
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maximize total net happiness over unhappiness in existence β otherwise,
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the action is wrong (substitution, P1, P2).
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Mill β s Proof of Utilitarianism (Straightforward Interpretation)
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P1. The only proof that an object is visible is that people actually see it.
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