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The Repugnant Conclusion

First published Thu Feb 16, 2006; substantive revision Thu Sep 9, 2010

In Derek Parfit's original formulation the Repugnant Conclusion is characterized as follows: “For any possible population of at least ten billion people, all with a very high quality of life, there must be some much larger imaginable population whose existence, if other things are equal, would be better even though its members have lives that are barely worth living” (Parfit 1984). The Repugnant Conclusion highlights a problem in an area of ethics which has become known as population ethics. The last three decades have witnessed an increasing philosophical interest in questions such as “Is it possible to make the world a better place by creating additional happy people?” and “Is there a moral obligation to have children?” The main problem has been to find an adequate theory about the moral value of states of affairs where the number of people, the quality of their lives, and their identities may vary. Since, arguably, any reasonable moral theory has to take these aspects of possible states of affairs into account when determining the normative status of actions, the study of population ethics is of general import for moral theory. As the name indicates, Parfit finds the Repugnant Conclusion unacceptable and many philosophers agree. However, it has been surprisingly difficult to find a theory that avoids the Repugnant Conclusion without implying other equally counterintuitive conclusions. Thus, the question as to how the Repugnant Conclusion should be dealt with and, more generally, what it shows about the nature of ethics has turned the conclusion into one of the cardinal challenges of modern ethics.

1. Arriving at the Repugnant Conclusion

Parfit is not the first philosopher to have noticed that influential moral views may have implications of the sort outlined in the Repugnant Conclusion. Henry Sidgwick was close to acknowledging the implication when he pointed out that “… the point up to which, on utilitarian principles, population ought to be encouraged to increase, is not that at which the average happiness is the greatest possible – as appears to be often assumed by political economists of the school of Malthus – but that at which the happiness reaches its maximum” (Sidgwick 1907 p. 418; for other early sources, see Broad 1930 pp. 249–250; McTaggart 1927 pp. 452–53; Narveson 1967). However, it is Parfit who has brought the conclusion to recent philosophical attention both by stressing the importance of the conclusion and by showing how difficult it is to avoid it (Parfit 1984).

Parfit was led to the Repugnant Conclusion by his considerations concerning how we ought to act in cases where our decisions have an impact on who will exist in the future. Consider the following two scenarios (see Parfit 1984 chapter 16):

  1. A pregnant mother suffers from an illness which, unless she undergoes a simple treatment, will cause her child to suffer a permanent handicap. If she receives the treatment and is cured her child will be perfectly normal.
  2. A woman suffers from an illness which means that, if she gets pregnant now, her child will suffer from a permanent handicap. If she postpones her pregnancy a few months until she has recovered, her child will be perfectly normal.

What ought the women to do in the two cases? In case (1) the obvious answer is that the mother ought to undergo the treatment since her actual child will thereby get a better life. However, it is problematic to appeal to this kind of reason when we turn to case (2). If the woman postpones her pregnancy, then the child that is brought into existence will not be identical to the child she would have had, had she decided to become pregnant while she was ill (it will not be the same ovum and sperm that meet). Hence, the alternative for the child brought into existence during the mother's illness is non-existence, and to claim that it would have been better for this child if the mother had postponed pregnancy is tantamount to claiming that non-existence would have been better for her. Assuming that the child has a life worth living, this seems wrong if not nonsensical (for a discussion, see Narveson 1967, Parfit 1984, appendix G; Bykvist 2007; Arrhenius 2009a; McMahan 1981, 2009; Rabinowicz 2009).

How, if at all, should a change in the identity of the involved parties in the compared outcomes affect our moral evaluation? Parfit refers to this as “the Non-identity Problem” (see the entry on the nonidentity problem). Following what would probably strike most people as the most plausible answer Parfit favors what he calls the “No-Difference View” (1984 p. 367), which implies that a change in identity should not affect the answer: the woman in case 2) ought to postpone her pregnancy, just as the woman in case 1) ought to undergo the treatment. A straightforward way of capturing the No-Difference View is the Impersonal Total Principle: If other things are equal, the best outcome is the one in which there would be the greatest quantity of whatever makes life worth living (Parfit 1984 p. 387). However, this view implies that any loss in the quality of lives in a population can be compensated for by a sufficient gain in the quantity of a population; that is, it leads to the Repugnant Conclusion. Consider the following diagram:

Figure 1
Figure 1

The blocks above represent two populations, A and Z. The width of each block shows the number of people in the corresponding population, the height shows their quality of life or welfare. All the lives in the above diagram have lives worth living. People's quality of life is much lower in Z than in A but, since there are many more people in Z, there is a greater quantity of welfare in Z as compared to A. Consequently, although the people in A lead very good lives and the people in Z have lives only barely worth living, Z is nevertheless better than A. Thus, the attempt to provide a plausible solution to the Non-identity problem has led to a seemingly unacceptable conclusion.

Leaving the mentioned Non-identity case aside, there are other arguments establishing that the Repugnant Conclusion is not easily avoided. Parfit has developed an argument to this effect. Consider the three population scenarios indicated in Fig. 2.

Figure 2
Figure 2

Scenario A contains a population in which everybody leads lives well worth living. In A+ there is one group of people as large as the group in A and with the same high quality of life. But A+ also contains a number of people with a somewhat lower quality of life. In Parfit's terminology A+ is generated from A by “mere addition”. Comparing A and A+ it is reasonable to hold that A+ is better than A or, at least, not worse. Addition of extra worthwhile lives cannot make an outcome worse. Consider the next scenario B with the same number of people as A+, all leading lives worth living and at an average well-being level slightly above the average in A+, but lower than the average in A. It is hard to deny that B is better than A+ since it is better in regard to both average welfare and equality. However, if A+ is at least not worse than A, and if B is better than A+, then B is also better than A given full comparability among populations (i.e., setting aside possible incomparability among populations). By parity of reasoning (scenario B+ and C, C+ etc.), we end up with a scenario Z where the population has a very low positive quality of life. Thus, the final conclusion is that Z is better than A, which is the Repugnant Conclusion. By what apparently constitute sound steps of reasoning we have arrived at an absurd conclusion. This is paradoxical. Thus, is ‘mere’ addition innocuous, as is here assumed? Well, if it is thought to be suspicious, there is a way of avoiding it by starting with a population like the one in A and adding new people living at a slightly lower level than the people in A in a manner that increases the well-being of existing people. You then proceed down the moral alphabet by levelling out the well-being between the best and worst off in a manner that gives more to those who are worst off than you take from those who are best off; in each step new people are added, in order to make this change of the situation possible (Parfit 1984; Tännsjö 2002). Moreover, there are other abstract arguments leading in the same direction, some of them presented by Parfit himself (Parfit 1984; Arrhenius 2000a, b; Kitcher 2000; Rachels 2004). It seems then that the Repugnant Conclusion is very hard to get around.

The main challenge which Parfit presented in his celebrated work Reasons and Persons is to develop a theory of beneficence – theory X he calls it – which is able to solve the Non-identity problem, which does not lead to the Repugnant Conclusion and which thus manages to block the Mere Addition Paradox, without facing other morally unacceptable conclusions. However, Parfit's own conclusion was that he had not succeeded in developing such a theory.

It might be tempting for people who have little sympathy with utilitarian thought to try to set the problems raised by the Repugnant Conclusion to one side, thinking that it constitutes a problem only for utilitarians. However, most people tend to believe that we have some obligation to make the world a better place, at least if we can do so without violating any deontological constraints, and at a not too high cost to ourselves. Clearly all who think along these lines, even without being utilitarians, are faced with the problem of the Repugnant Conclusion. We can assume that other values and considerations are not decisive for the choice between populations A and Z in Fig. 1 (e.g., promises, rights). The Repugnant Conclusion is a problem for all moral theories which hold that welfare at least matters when all other things are equal.

2. Eight Ways of Dealing with the Repugnant Conclusion

Several philosophers have taken up the challenge from Parfit and have engaged in considerations as to what would constitute a satisfactory population ethics. Some theorists have done so by accepting the framework Parfit has set for the investigation; that is, they have carried on the work of developing an ethical theory that succeeds in meeting Parfit's minimal requirements for adequacy. Other theorists have been less willing to accept the scenery as set by Parfit and have more or less radically challenged his requirements for a plausible theory. The Repugnant Conclusion has been placed at the centre of this discussion. The suggestions in the literature on how to deal with the Repugnant Conclusion can roughly be divided into eight categories: (1) introducing new ways of aggregating welfare into a measure of value; (2) questioning the way we can compare and measure welfare; (3) counting welfare differently depending on temporal or modal features; (4) revising the notion of a life worth living; (5) rejecting transitivity; (6) appeal to other values; (7) accepting the impossibility of a satisfactory population ethics; (8) accepting the Repugnant Conclusion.

2.1 Introducing new ways of aggregating welfare into a measure of value

2.1.1 The average principle

One proposal that easily comes to mind when faced with the Repugnant Conclusion is to reject total utilitarianism in favor of a principle prescribing that the average well-being per life in a population is maximized. Average utilitarianism and total utilitarianism are extensionally equivalent in the sense that they give the same moral ranking in cases where the compared populations are of the same size. They may differ significantly in different-number cases, however. This is easily seen when the average approach is adopted in the comparison of the population outcomes in Figure 1 and Figure 2. That the average well-being is all that matters implies that no loss in average well-being can be compensated for by a gain in total well-being. Thus in Figure 1, A is preferable to Z, i.e. the Repugnant Conclusion is avoided. In Figure 2, A is preferable to A+, i.e. the Mere Addition Paradox is blocked at the very first step.

Despite these advantages, average utilitarianism has not obtained much acceptance in the philosophical literature. This is due to the fact that the principle has implications generally regarded as highly counterintuitive. For instance, the principle implies that for any population consisting of very good lives there is a better population consisting of just one person leading a life at a slightly higher level of well-being (Parfit 1984 chapter 19). More dramatically, the principle also implies that for a population consisting of just one person leading a life at a very negative level of well-being, e.g., a life of constant torture, there is another population which is better even though it contains millions of lives at just a slightly less negative level of well-being (Parfit 1984). That total well-being should not matter when we are considering lives worth ending is hard to accept. Moreover, average utilitarianism has implications very similar to the Repugnant Conclusion (see Sikora 1975; Anglin 1977).

2.1.2 Variable value principles

An attempt to produce a compromise between a total principle and an average principle is provided by a variable value principle. The idea behind this sort of view is that the value of adding worthwhile lives to a population varies with the number of already existing lives in such a way that it has more value when the number of these lives is small than when it is large. Taking this view, Noah's obligation to procreate after the Deluge was much stronger than our obligation today. Variable value principles are sometimes called “compromise theories” since they can be said to be a compromise between total and average utilitarianism. With small populations enjoying high welfare, a variable value principle behaves like total utilitarianism and assigns most of the value to the total sum of welfare. For large populations with low welfare, the principle mimics average utilitarianism and assigns most of the value to average welfare. This property is what makes it possible to avoid the Repugnant Conclusion. If the value of extra lives decreases asymptotically, then there may exist an upper limit to the total value of a population (exactly as the sum of the infinite series 1+1/2+1/4+ … has the upper limit 2). As long as population A in Fig. 1 has a total value above this limit this population will be preferable no matter how populous the low quality population Z is (Hurka 1983, Ng 1989; Sider 1991).

Depending on how precisely various different value principles are worked out they have different implications, which critics have regarded as devastating. For instance, on Ng's explication of this view (Ng 1989) according to which the value of a population is determined by the product of the average welfare and a concave transformation of the number of lives, it follows that it can be better to add people with negative welfare rather than positive welfare to a population. More exactly, Ng's theory implies the “Sadistic Conclusion” (Arrhenius 2000a,b): For any number of lives with any negative welfare (e.g. tormented lives), there are situations in which it would be better to add these lives rather than some number of lives with positive welfare. Moreover, even if it might be reasonable to hold that the value of extra lives with positive welfare decreases asymptotically towards a limit, the analogous assumption about lives with negative welfare isn't very attractive. Hence, given the reasonable assumption that the negative value of adding extra lives with negative welfare does not decrease relatively to population size, a proportional expansion in the population size can turn a good population into a bad one — a version of the so-called “Absurd Conclusion” (Parfit 1984). A population of one million people enjoying very high positive welfare and one person with negative welfare seems intuitively to be a good population. However, since there is a limit to the positive value of positive welfare but no limit to the negative value of negative welfare, proportional expansions (two million lives with positive welfare and two lives with negative welfare, three million lives with positive welfare and three lives with negative welfare, and so forth) will in the end yield a bad population.

2.1.3 Critical level principles

Another way of modifying total utilitarianism is to introduce a critical level (Kavka 1982, Parfit 1984; Locke 1984; Blackorby et al. 1997, 2004, 2005; Broome 2004). As is the case with the variable value view, a critical level view is based on a split between prudential and moral value. However, in this case the split is even more radical. The idea is that a person's life only contributes positively to an outcome if the quality of the person's life is above a positive critical level. Below this level the moral value of a life is neutral (Kavka 1982), negative (Blackorby et al. 1997, 2004, 2005), or introduces incommensurability or vagueness in the ordering of outcomes (Blackorby et al. 2005; Broome 2004; Rabinowicz 2009), even though the person leads a life worth living. In its simplest form, the critical level view is a modified version of total utilitarianism. The moral contributive value of a person's life is her welfare minus a positive critical level. The value of a population is calculated by summing these differences for all individuals in the population. The critical level view thereby succeeds in avoiding the Repugnant Conclusion. Assuming the critical level is higher than the low quality of the lives led in population Z, the Repugnant Conclusion is blocked: Z now constitutes an outcome (much) worse than A.

An obvious challenge to critical level thinking is to make clear what constitutes the appropriate critical level. On the one hand, the level has to be high enough to avoid versions of the Repugnant Conclusion; on the other, the level has to be low enough not to rule out additions of clearly good lives (for an attempted answer to this challenge see Blackorby et al. 1997; Broome 2004). Critics have also been sceptical to the idea that the addition of worthwhile lives (below the critical level) should contribute negatively to an outcome. Finally, it has been shown that this view leads to the Sadistic Conclusion (see above).

2.2 Questioning the way we can compare and measure welfare

The Repugnant Conclusion may seem to rely on a certain view about welfare. It treats welfare on a single additive scale, where low numbers, if added to themselves often enough, must become larger than any initial larger number. This is like the Archimedean property of the real numbers: For any positive numbers x and y, there is a natural number n such that nx is greater than y. Any finite number of lives in population A can therefore be outweighed by a sufficiently large number of lives in Z because the gain in the quantity of lower values outweighs the loss of certain higher values. However, some theorists – including Parfit – have suggested that this axiological assumption is mistaken. (Parfit 1986; Griffin 1986; Rachels 2001; Crisp 1988, 1992; Glover 1977; Edwards 1979; Lemos 1993; Skorupski 1999; Klint Jensen 1996; Portmore 1999; Riley 1993, 1999). The idea is that one type of good A can be superior to another type of good B, in the sense that any amount of A is better than any amount of B or that some amount of A is better than any amount of B. Suppose that what happens as we move down the alphabet from the high-quality population A to the low-quality population Z is that the best things in life are gradually lost. For instance, as Parfit has suggested, the first step from A to B involves the loss of Mozart's music; in the move from B to C Haydn's music is lost; in the move to D Venice is destroyed; and so on down the alphabet. All that is left in the final move to Z is “muzak and potatoes”. The claim is that the lives in the beginning of the sequence involve goods that are superior to the goods involved in the lives at the end of the sequence. The loss of the most worthwhile things in life cannot be compensated for by any gain in the quantity of muzak and potatoes. Consequently, whatever the number of people in population Z, there will be less well-being in this world as compared to population A and thus the Repugnant Conclusion is blocked.

This suggested way of blocking the Repugnant Conclusion obviously presupposes that the superiority view is justified in the first place. However, even if this is the case, critics have suggested that this view may still be consistent with some versions of the Repugnant Conclusion (e.g. Ryberg 1996b). Moreover, the superiority view has other implications that might be hard to accept. Assume that there are days of different qualities and that these can be arranged in a descending sequence of goodness or how much they would contribute to the well-being of a life. It seems plausible that there can be such a sequence where the difference in quality of any two adjacent days in the sequence is marginal. For example, consider two days of a life that only differ in respect to one pin-prick in the left thumb. Assume now, as Parfit suggests, that there are days of such quality that some number of these are better than any number of days eating potatoes and listening to muzak. One can then show (Arrhenius 2005) that there must be two types of days, call them A-days and B-days, such that some number of A-days is better than any number of B-days although the difference in quality between these days is marginal.

2.3 Counting welfare differently depending on temporal or modal features

Another approach to the problems in population ethics has been the suggestion that the crux of the problem resides in an all too “impersonal” morality and that the problems of population ethics can be solved by a shift to a so-called “person-affecting” morality (Narveson 1967, 1976, 1978; Roberts 1998, 2002, 2004, 2007). This move has been especially popular in the context of medical ethics where many of the problems of population axiology are actualised. Examples are embryo or egg selection, pre-implantation genetic testing, assisted reproduction programs, abortion, to mention just a few. The idea behind this approach is the contention – sometimes referred to as “the person-affecting restriction” or simply “the slogan” – that an outcome can only be better (or worse) than another if it is better (or worse) for someone (Narveson 1967: Glover 1977; Temkin 1993a). If this restriction is combined with the assumption that non-existence and existence are incomparable in value for a person, we may derive a view called comparativism: We should disregard the welfare of uniquely realisable people, that is, people who only exist in one of the compared outcomes (Heyd 1988; Bykvist 1998). A person-affecting morality such understood deviates from impersonal morality in important respects. If there is an overlap between the populations in A and Z, then A is ranked as better than Z since the people existing in both populations are worse off in Z as compared to A and since we should disregard the welfare of uniquely realisable people. However, if there are different people in the involved populations, such as two future populations, then the two populations are ranked as equally good or as incomparable in value, which is not a very satisfactory solution to the Repugnant Conclusion. Moreover, comparativism implies that any very huge loss in welfare for uniquely realisable people is compensated by any very small gain for non-uniquely realisable people. Less strict interpretations of the person-affecting restriction and comparativism can to a certain extent avoid these problems, but at the price of implying the Repugnant Conclusion again (Arrhenius 2000b, 2009a; Holtug 2004).

The comparativist interpretation of the distinction between “impersonal” and “person-affecting” is not the only proposed interpretation in the literature. What the different theories that have been proposed under the banner of a person-affecting morality have in common, however, are that they are welfarist theories that count people's welfare differently depending on the temporal location or the modal features of their lives. Apart from comparativists, we have presentists who draw a distinction between presently existing people and non-existing people (Narveson 1973; Heyd 1988); necessitarians who distinguish between people who exist or will exist irrespective of how we act and people whose existence is contingent on our choices (Singer 1993); and actualists who differentiate between people that have existed, exist or who are going to exist in the actual world, on the one hand, and people who haven't, don't, and won't exist, on the other (Bigelow and Pargetter 1988; Warren 1978; Parson 2002; for a critical discussion of actualism, see Carlson 1995; Arrhenius 2000b; Bykvist 1998, 2007b; Hare 2007; Howard-Snyder 2008). These theories, apart from problems of their own, run in problems analogous to the problems of comparativism discussed above. For instance, presentism, in its strict guise according to which we only take into account the welfare of presently existing people, implies that any very small gain for present people outweighs any loss for future people, irrespective of how big it is. Again, a less strict interpretations of presentism can to a certain extent avoid this and related problems, but at the price of implying the Repugnant Conclusion again (Dasgupta 1988, 1994; Arrhenius 2000b, 2009a).

Actually, it is unclear whether presentism, necessitarianism, or actualism can escape any of the problems discussed above in connection with “impersonal” theories, and in particular the Repugnant Conclusion. For example, assume that A is a population of present people (for example, the present people in country x) enjoying very high welfare and that B is a larger population of present people (for example, the present population in country y) with very low welfare but with higher total welfare than A. Which population is the better one according to presentism? It all depends on which method the presentist selects for determining better, worse and equally good in regard to the welfare of present people. Since this case involves only present people, all the problems discussed above will reappear in the search of this method. Likewise for necessitarianism and actualism.

2.4 Revising the notion of a life worth living

The above discussion of the Repugnant Conclusion presumes that there are possible lives with a very high quality of life. However, Christoph Fehige (1998) and David Benatar (2006) have suggested that there are no lives with a positive welfare and thus no lives with very high quality of life. According to the former's theory only frustrated preferences count, and they count negatively, whereas satisfied preferences have no positive value. According to this “Schopenhauerian” theory of welfare, there are no possible lives with positive welfare. On the contrary, most lives have negative welfare and the best possible lives only have neutral welfare. Would the truth of such a theory of welfare make the Repugnant Conclusion acceptable? Yes in a way, since it would neutralise the Repugnant Conclusion by making it an empty truth. If there are no possible lives with a very high quality of life, then the Repugnant Conclusion is vacuously true, since the antecedent – “[f]or any possible population … with a very high quality of life” – is false of every possible population. Consequently, total utilitarianism would only imply the Repugnant Conclusion in a trivial and uninteresting sense.

However, a theory about welfare that denies the possibility of lives worth living is quite counter-intuitive (Ryberg 1996a). It implies, for example, that a life of one year with complete preference satisfaction has the same welfare as a completely fulfilled life of a hundred years, and has higher welfare than a life of a hundred years with all preferences but one satisfied. Moreover, the last life is not worth living (Arrhenius 2000b).

2.5 Rejecting transitivity

What makes the Repugnant Conclusion so perplexing is that strong arguments can be given which apparently force one into accepting the conclusion. In fact, several arguments to this effect – with affinity to the mere addition reasoning outlined above — have been presented (see e.g. Parfit 1986; Arrhenius 2000a, b; Kitcher 2000; Tännsjö 2002; Rachels 2004). Roughly, the arguments share the following structure: in comparison between three population scenarios the second scenario is considered better than the first and the third better than the second, leading to the conclusion that the third scenario is better than the first. By iterated application of this line of reasoning one ends up with the Repugnant Conclusion (that Z is better than A). One of the more radical approaches to such arguments has been to reject the transitivity of the relation “better than” (or “equally as good as”). According to transitivity, if p is better than q, and q is better than r, then p is better than r. However, if transitivity of “better than” is denied then the reasoning leading the Repugnant Conclusion is blocked (Temkin 1987; Persson 2004; Rachels 2004).

One of the questions raised by this radical proposal is whether arguments like the mere addition paradox themselves justify the rejection of transitivity or whether further arguments are needed since transitivity seems to be part of the meaning and logic of the relation “better than” (Broome 2004). Another question concerns the more general implications of this proposal for morality and practical reasoning and some worry that giving up the transitivity of “better than” would demand a major revision of our notion of practical reasoning (Temkin 1987). A transitive preference ordering has usually been assumed as part of the definition of a rational agent in economic and rational choice theory. For example, it seems that an agent with a non-transitive preference ordering can be exploited by a so-called money-pump (see Philosophy of Economics, section 5.1). The main problem with non-transitive value orderings in moral theory, however, is that such an ordering cannot form the basis of a satisfactory answer to the question of what one ought to choose. Coupled with the standard formulation of consequentialism (an action is right iff its outcome is at least as good as the outcomes of all the alternative actions, see the entry on consequentialism), for example, we get the counterintuitive result that no action is right in the mere addition paradox. Moreover, it has been shown that the mere addition argument and the like can be reconstructed on the normative level, in terms of what one ought to choose, without an appeal to transitivity (Arrhenius 2004). Instead of an non-transitive ordering of populations, one gets a situation in which all of the available actions are forbidden, i.e., a moral dilemma. Hence, it doesn't look like we can exorcise the paradoxes of population ethics by giving up some formal condition like the transitivity of “better than”.

2.6 Appeal to other values

Fred Feldman has proposed a desert-adjusted version of utilitarianism, ‘justicism’ which he claims avoids the Repugnant Conclusion (Feldman 1997). In justicism, the value of an episode of pleasure is determined not only by the hedonic level but also by the recipient's desert level. Feldman's proposal is that there is some level of happiness that people deserve merely in virtue of being people. He assumes that this level corresponds to 100 units of pleasure and that people with very low welfare enjoy only one unit of pleasure. He suggests that the life of a person who deserves 100 units of pleasure and receives exactly that amount of pleasure has an intrinsic value of 200, whereas the life of a person deserving 100 units but who only receives one unit of pleasure has an intrinsic value of −49. It follows that any population consisting of people with very low welfare and desert level 100 has negative value, whereas any population with very high welfare has positive value. Consequently, it seems as if justicism avoids the Repugnant Conclusion. Moreover, the intuition behind Feldman's explanation of the unacceptability of the Repugnant Conclusion – that there is some level of welfare that people deserve merely in virtue of being people – is compelling and probably widely shared and could give support to ideas such as the critical level view discussed above.

It has been pointed out, however, that Feldman's reasoning involves a questionable interpretation of the ceteris paribus clause in the repugnant conclusion (Arrhenius 2003). He implicitly assumes that the ceteris paribus clause is satisfied whenever the people in the compared populations have the same desert level. A more plausible reading of the ceteris paribus clause is that it is satisfied if and only if the compared populations are (roughly) equally good in regard to all other axiologically relevant aspects apart from welfare, including their “desert value”. Hence, to satisfy the ceteris paribus clause, the compared populations should be equally good in regard to desert, that is, equally good in regard to the contributive value of the fit between what people deserve and what they get. Given this interpretation of the ceteris paribus clause, justicism does imply the repugnant conclusion. If A and Z are equally good in regard to desert, then justicism ranks Z as better than A since Z has greater total well-being.

One might also try to solve the Mere Addition Paradox by an appeal to egalitarian considerations. Consider population A and A+ in figure 2 again. According to a well-known principle, Maximin, we should rank outcomes according to the welfare of the worst off: The lower the welfare of the worst off, the worse the population. Maximin ranks A+ as worse than A and thus stops the Mere Addition Paradox in its first step. However, Maximin has a number of other counterintuitive implications in population ethics since it impose a kind of dictatorship of the worst off according to which the slightest gain in welfare for one of the worst of person outweighs a very large loss for any number of better off people (Arrhenius 2009c).

Still, A+ is clearly more unequal than A, and it isn't unreasonable to claim that A+ is in this respect worse than A. For example, according to Larry Temkin, “the ultimate intuition underlying egalitarianism is that it is bad … for some to be worse off than others through no fault of their own” (Temkin 1993a, p. 200). Clearly, this is the case in A+ since the extra people have not done anything to deserve to be worse off than the better off people. Moreover, as suggested by Temkin, one might hold the view that the greater the number of worst off, the worse the inequality. (Temkin 1993a, p. 200–2). Consequently, since the number of worse off extra people in the Mere Addition Paradox has to be enormous to reach the Z population (see figure 1) by redistribution of welfare, the inequality involved would be considerable. Hence, there seems to be a prima facie case that egalitarian concerns can solve the Mere Addition Paradox.

The crucial question, however, is whether inequality makes A+ worse than A all things considered. Since A+ is clearly better than A in respect to total welfare, the pluralist egalitarian has to limit the importance of total welfare relative to the importance of inequality to reach this judgement. There are some promising ways the pluralist egalitarian could do this albeit it is as yet unclear whether these proposals will stand up to further scrutiny. More problematic for the egalitarian approach, however, is that the Repugnant Conclusion can be derived from conditions to which an egalitarian has no decisive objections (Arrhenius 2009c; Tännsjö 2008).

2.7 Accepting the impossibility of a satisfactory population ethics

Even though Parfit, despite his thorough investigations in Reason and Person, did not succeed in finding the sought-after ethical Theory X that would avoid the Repugnant Conclusion and other equally unattractive conclusions, this did not seem to destroy his hopes that such a theory could be found (Parfit 1984 p. 451). However, other theorists have regarded the search for this theory as having more gloomy prospects. This pessimism has been given a more formal content. It has been held that it can be proven that there is no population ethics that satisfies a set of apparently plausible adequacy conditions on such a theory. In fact, several such proofs have been suggested (Arrhenius 2000a, 2000b, 2009b). What such a theorem would show about ethics is not quite clear. Arrhenius has suggested that an impossibility theorem leaves us with three options: (1) to abandon some of the conditions on which the theorem is based; (2) to become moral sceptics; or (3) to try to explain away the significance of the proofs — alternatives which do not invite an easy choice.

2.8 Accepting the Repugnant Conclusion

When confronted with the Repugnant Conclusion, many share the view that the conclusion is highly counterintuitive. However, it has been suggested that it is premature to conclude from this that the conclusion is morally unacceptable. Two sorts of reasons can be given in favor of the view that the conclusion should be accepted. According to the first, while it is correct that the conclusion is counterintuitive, there are nevertheless certain theoretical considerations outweighing this intuition to such an extent that we should accept it. The claim that no plausible theory can avoid the Repugnant Conclusion or that the rejection of the conclusion would force one into rejecting claims which it is hard to get around — e.g. such as the premises of the Mere Addition Paradox — may constitute such considerations (Tännsjö 2002; Holtug 2004; Huemer 2008). According to the second, the source of the unacceptability of the conclusion is the fact that we are deluded by our intuition (Sikora 1978, 2004; Mackie 1985; Tännsjö 1992, 1998, 2002; Hare 1993; Ryberg 1996a, 2004). Once we fully understand what the conclusion amounts to, we will cease to find it counterintuitive. For instance, it might be suggested that the repugnance, at least partly, is due to our limited apprehension of large numbers (Tännsjö 2002; Broome 2004). We cannot imagine what it would be like for there to exist billions upon billions of people, and hence our intuition is not based on a sound picture of the moral significance of population Z. Moreover, several theorists have suggested that our intuition is misguided by a misapprehension of what it is like to lead a life in Z, i.e. a life that is barely worth living. The idea is that once we realize that such a life is not terrible but perhaps a life not much different from a normal privileged one, the conclusion loses its sting (Mackie 1985; Tännsjö 1992; Ryberg 1996a). Thus, on both views, though population ethics may constitute a complicated area of ethical research, it is at least devoid of what is traditionally regarded as one of the cardinal challenges.

However, this conclusion might not be much of a comfort since there are other impossibility results that do not rely on avoidance of the Repugnant Conclusions as one of its adequacy condition but on avoidance of the intuitively even more unacceptable Very Repugnant Conclusion: For any perfectly equal population with very high positive welfare, and for any number of lives with any very negative welfare, there is a population consisting of the lives with negative welfare and lives with very low positive welfare which is better than the high welfare population, other things being equal (Arrhenius 2009b). This conclusion seems much harder to accept than the Repugnant Conclusions. Here we are comparing one population where everybody enjoys very high quality of life with another population where people either have very low positive welfare or very negative welfare (any level of horrible suffering). Even if we were to accept the Repugnant Conclusion, we are not forced to accept the Very Repugnant Conclusion. We might, for example, accept the former but not the latter because we give greater moral weight to suffering than to happiness. Hence, to exorcise the paradoxes of population ethics, it is not sufficient to show that our intuition about the Repugnant Conclusion is wrong or epistemically unreliable. We also have to show that this is true of the Very Repugnant Conclusion, which might strike many as quite a tall order.

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