Derek Parfit’s mere addition paradox has generated a large literature. This paper articulates one response to this paradox - which Parfit hirnself suggested - in terms of a formal account of the relation of parity. I term this response the ‘parity view’. It is consistent with transitivity of ‘at least as good as’, but implies incompleteness of this relation. The parity view is compatible with critical-band utilitarianism if this is adjusted to allow for vagueness. John Broome (...) argues against accounts which involve incompleteness. He thinks they are based on an intuition of ‘neutrality’, which is most naturally understood in terms of equality. There is no rationale, on Broome’s view, for seeing it as ‘incommensurateness’ which leads to incompleteness. Parity provides one. Broome’s worries that ‘incommensurateness’ makes neutrality implausibly ‘greedy’, and that ‘incommensurateness’ and vagueness are incompatible do not constitute a knock-down case against the parity view. Similar worries arise for his preferred vagueness view. (shrink)

Derek Parfit’s mere addition paradox has generated a large literature. This paper articulates one response to this paradox—which Parfit himself suggested—in terms of a formal account of the relation of parity. I term this response the ‘parity view’. It is consistent with transitivity of ‘at least as good as’, but implies incompleteness of this relation. The parity view is compatible with critical‐band utilitarianism if this is adjusted to allow for vagueness. John Broome argues against accounts which (...) involve incompleteness. He thinks they are based on an intuition of ‘neutrality’, which is most naturally understood in terms of equality. There is no rationale, on Broome’s view, for seeing it as ‘incommensurateness’ which leads to incompleteness. Parity provides one. Broome’s worries that ‘incommensurateness’ makes neutrality implausibly ‘greedy’, and that ‘incommensurateness’ and vagueness are incompatible do not constitute a knock‐down case against the parity view. Similar worries arise for his preferred vagueness view. (shrink)

This paper uses a formal analysis of the relation of ‘parity’ to make sense of a well-known solution to Parfit’s ‘mere addition paradox’. This solution is sometimes dismissed as a recourse to ‘incomparability’. In this analysis, however, the solution is consistent with comparability, as well as transitivity of ‘better than’. The analysis is related to Blackorby, Bossert and Donaldson’s ‘incomplete critical-level generalised utilitarianism’ (ICLGU). ICLGU is inspired by Parfit’s work and can be related to the analysis of (...) parity, though the distinctive ‘mark’ of parity suggests that the boundaries of a set of critical levels is not exact. One has to allow for vagueness to make an account based on parity plausible. These accounts are then contrasted with Broome’s view which also involves vagueness. (shrink)

In "Futurc Generations: Further Problems,"‘ and Part Four of Reasons and Persons} Derek Pariit raises many perplexing questions. Although some think his ingenious arguments little more than delightful puzzles, I believe they challenge some of our deepest beliefs. In this article, I examine some of Pariit’s arguments, focusing mainly on "The Mere Addition Paradox." If my analysis is correct, Parfit’s arguments have extremely interesting and important implications that not even Pariit rcalized. In Part I, I present ParHt’s (...) argument for the Merc Addition Paradox, and show that given Pa.rHt’s assumptions, a radical conclusion seems t0 follow; the notion of "bctter th2m"—indced, even the notion of "aH things.. (shrink)

This paper argues that the Repugnant Conclusion which the Mere Addition Paradox generates is not the same as the one which a sum-aggregative view like impersonal total utilitarianism leads to, but a slightly more moderate version of it. Given a spectrum of outcomes {A, B, C, …, X, Y, Z} such that in each of them there is a population that is twice as large as the previous one and has a level of wellbeing that is just (...) barely lower than the previous one, the Mere Addition Paradox implies that while almost all the outcomes of the spectrum are better than A, the last ones, such as Y and Z, will not, lest we accept that adding lives at a negative level is positive or neutral. This affects the way the Mere Addition Paradox should be presented. (shrink)

Duties to future persons contribute critically to many important contemporaneous ethical dilemmas, such as environmental protection, contraception, abortion, and population policy. Yet this area of ethics is mired in paradoxes. It appeared that any principle for dealing with future persons encountered Kavka's paradox of future individuals, Parfit's repugnant conclusion, or an indefensible asymmetry. In 1976, Singer proposed a utilitarian solution that seemed to avoid the above trio of obstacles, but Parfit so successfully demonstrated the unacceptability of this position that (...) Singer abandoned it. Indeed, the apparently intransitivity of Singer's solution contributed to Temkin's argument that the notion of "all things considered better than" may be intransitive. In this paper, I demonstrate that a time-extended view of Singer's solution avoids the intransitivity that allows Parfit's mere addition paradox to lead to the repugnant conclusion. However, the heart of the mere addition paradox remains: the time-extended view still yields intransitive judgments. I discuss a general theory for dealing with intransitivity that was inspired by Temkin's sports analogy, and demonstrate that such a solution is more palatable than Temkin suspected. When a pair-wise comparison also requires consideration of a small number of relevant external alternatives, we can avoid intransitivity and the mere addition paradox without infinite comparisons or rejecting the Independence of Irrelevant Alternatives Principle. (shrink)

How can we resist the repugnant conclusion? James Griffin has plausibly suggested that part way through the sequence we may reach a world—let us call it “J”—in which the lives are lexically superior to those that follow. If it would be preferable to live a single life in J than through any number of lives in the next one, then it would be strange to judge K the better world. Instead, we may reasonably “suspend addition” and judge J superior, (...) as if aggregating the lives in the larger world intrapersonally. I argue that the addition of new people with separate preferences renders this inference illicit when comparing J+ and K. When one pairwise comparison suspends addition and the other does not, the result is an intransitive value judgement: J < J+ < K < J, producing the mere addition paradox. (shrink)

I present a new argument for the repugnant conclusion. The core of the argument is a risky, intrapersonal analogue of the mere addition paradox. The argument is important for three reasons. First, some solutions to Parfit’s original puzzle do not obviously generalize to the intrapersonal puzzle in a plausible way. Second, it raises independently important questions about how to make decisions under uncertainty for the sake of people whose existence might depend on what we do. And, third, (...) it suggests various difficulties for leading views about the value of a person’s life compared to her nonexistence. (shrink)

A principal aim of the branch of ethics called ‘population theory’ or ‘population ethics’ is to find a plausible welfarist axiology, capable of comparing total outcomes with respect to value. This has proved an exceedingly difficult task. In this paper I shall state and discuss two ‘trilemmas’, or choices between three unappealing alternatives, which the population ethicist must face. The first trilemma is not new. It originates with Derek Parfit's well-known ‘Mere Addition Paradox’, and was first explicitly (...) stated by Yew-Kwang Ng. I shall argue that one horn of this trilemma is less unattractive than Parfit and others have claimed. The second trilemma, which is a kind of mirror image of the first, appears hitherto to have gone unnoticed. Apart from attempting to resolve the two trilemmas, I shall suggest certain features which I believe a plausible welfarist axiology should possess. The details of this projected axiology will, however, be left open. (shrink)

The quantitative argument against the notion of a best possible world claims that, no matter how many worthwhile lives a world contains, another world contains more and is, other things being equal, better. Parfit’s ‘ Mere Addition Paradox ’ suggests that defenders of this argument must accept his ‘ Repugnant Conclusion ’ : that outcomes containing billions upon billions of lives barely worth living are better than outcomes containing fewer lives of higher quality. Several responses to the (...) Paradox are discussed and rejected as either inadequate or unavailable in a theistic context. The quantitative argument fails if some world is such that addition to it is not possible, i.e., if it is intensively infinite, as Liebniz claimed. If the notion of such a world is incoherent, then no world is quantitatively best and the quantitative argument succeeds, but only at the cost of embracing the Repugnant Conclusion. (shrink)

As the title of this paper indicates, I’m going to discuss what we ought to do in situations where our actions affect future generations. More specifically, I shall focus on the moral problems raised by cases where our actions affect who’s going to live, their number and their well being. I’ll start, however, with population axiology. Most discussion in population ethics has concentrated on how to evaluate populations in regard to their goodness, that is, how to order populations by the (...) relations “is better than” and “is as good as”. This field has been riddled with “paradoxes” which purport to show that our considered beliefs are inconsistent in cases where the number of people and their welfare varies. Derek Parfit’s Mere Addition Paradox is a case in point. The main question of my paper concerns the implication of such axiological paradoxes for normative theories. Do the axiological paradoxes translate into paradoxes for normative theories or will they, as some believe, disappear if we switch to a normative framework? (shrink)

Parfit's Mere Addition Paradox seems to show that we must give up one of three very plausible beliefs about the relative goodness of certain outcomes, which would put a strong damper on our hopes of finding an acceptable theory of benevolence dealing with issues of procreation. I shall argue that such a result can be avoided if we challenge some basic assumptions about moral reasoning which underlie Parfit's argument. An alternative account of the nature of moral reasoning (...) will be given, and a non-standard version of Utilitarianism capable of solving the Paradox will be developed and defended. (shrink)

Population ethics is defined and presented, and some of the paradoxes it encapsulates are spelled out. It is argued that the concept of the quality of a life or of a life worth living can- not be avoided if inquiry on many relevant ethical and political topics is to be pursued in a theoretically fitting mode. In particular, the article deals with the asymmetry between rea- sons for not creating unhappy lives and reasons for creating happy lives, the well-known repugnant (...) conclusion and the paradox of mere addition. (shrink)

The multiverse theodicy proposes to reconcile the existence of God and evil by supposing that God created all and only the creation-worthy universes and that some universes like ours are, despite their evils, creation-worthy. Drawing on work in population ethics, this paper develops a novel challenge to the multiverse theodicy. Roughly, the challenge contends that the axiological underpinnings of the multiverse theodicy harbor a ‘mere addition paradox’: the assumption that creating creation-worthy universes would always make the world (...) better turns out to have morally repugnant consequences akin to those of the assumption that adding worthwhile lives to a population would always make the overall welfare of the population better. Further, the challenge leverages this difficulty into an argument against God’s having created all and only the creation-worthy universes, and hence against the multiverse theodicy. Responses to this challenge are considered but found wanting, largely because of commitments of the multiverse theodicy that have no analogs in population ethics. (shrink)

In Reasons and Persons, Parfit (1984) posed a challenge: provide a satisfying normative account that solves the Non-Identity Problem, avoids the Repugnant and Absurd Conclusions, and solves the Mere-Addition Paradox. In response, some have suggested that we look toward person-affecting views of morality for a solution. But the person-affecting views that have been offered so far have been unable to satisfy Parfit's four requirements, and these views have been subject to a number of independent complaints. This paper (...) describes a person-affecting account which meets Parfit's challenge. The account satisfies Parfit's four requirements, and avoids many of the criticisms that have been raised against person-affecting views. (shrink)

This article critically examines some of the inconsistency objections that have been put forward by John Broome, Larry Temkin and others against the so-called "person-affecting," or "person-based," restriction in normative ethics, including "extra people" problems and a version of the nonidentity problem from Kavka and Parfit. Certain Pareto principles and a version of the "mere addition paradox" are discussed along the way. The inconsistencies at issue can be avoided, it is argued, by situating the person-affecting intuition within (...) a non-additive form of maximizing consequentialism – a theory which then competes with such additive, or aggregative, forms of maximizing consequentialism as "totalism" and "averagism.". (shrink)

In Reasons and Persons, Derek Parfit cannot find a theory of well-being that solves the Non-Identity Problem, the Repugnant Conclusion, the Absurd Conclusion, and all forms of the Mere Addition Paradox. I describe a “Quasi-Maximizing” theory that solves them. This theory includes (i) the denial that being better than is transitive and (ii) the “Conflation Principle,” according to which alternative B is hedonically better than alternative C if it would be better for someone to have all the (...) B-experiences. (i) entails that Quasi-Maximization is not a maximizing theory, but (ii) ensures that its evaluations will often coincide with such theories. (shrink)

In the face of an impossibility result, some assumption must be relaxed. The Mere Addition Paradox is an impossibility result in population ethics. Here, I explore substantially weakening the decision-theoretic assumptions involved. The central finding is that the Mere Addition Paradox persists even in the general framework of choice functions when we assume Path Independence as a minimal decision-theoretic constraint. Choice functions can be thought of either as generalizing the standard axiological assumption of a (...) binary “betterness” relation, or as providing a general framework for a normative (rather than axiological) theory of population ethics. Path Independence, a weaker assumption than typically (implicitly) made in population ethics, expresses the idea that, in making a choice from a set of alternatives, the order in which options are assessed or considered is ethically arbitrary and should not affect the final choice. Since the result establishes a conflict between the relevant ethical principles and even very weak decision-theoretic principles, we have more reason to doubt the ethical principles. (shrink)

Prawitz observed that Russell’s paradox in naive set theory yields a derivation of absurdity whose reduction sequence loops. Building on this observation, and based on numerous examples, Tennant claimed that this looping feature, or more generally, the fact that derivations of absurdity do not normalize, is characteristic of the paradoxes. Striking results by Ekman show that looping reduction sequences are already obtained in minimal propositional logic, when certain reduction steps, which are prima facie plausible, are considered in addition (...) to the standard ones. This shows that the notion of reduction is in need of clarification. Referring to the notion of identity of proofs in general proof theory, we argue that reduction steps should not merely remove redundancies, but must respect the identity of proofs. Consequentially, we propose to modify Tennant’s paradoxicality test by basing it on this refined notion of reduction. (shrink)

Population axiology concerns how to evaluate populations in regard to their goodness, that is, how to order populations by the relations “is better than” and “is as good as”. This field has been riddled with impossibility results which seem to show that our considered beliefs are inconsistent in cases where the number of people and their welfare varies.1 All of these results have one thing in common, however. They all involve an adequacy condition that rules out Derek Parfit’s Repugnant Conclusion: (...) The Repugnant Conclusion: For any perfectly equal population with very high positive welfare, there is a population with very low positive welfare which is better, other things being equal.2 1 The informal Mere Addition Paradox in Parfit (1984), pp. 419ff is the locus classicus. For an informal proof of a similar result with stronger assumptions, see Ng (1989), p. 240. A formal proof with slightly stronger assumptions than Ng’s can be found in Blackorby and Donaldson (1991). For theorems with much weaker assumptions, see my (1999), (2000b), and especially (2000a), (2001), and (2009). 2 See Parfit (1984), p. 388. My formulation is more general than Parfit’s apart from that he doesn’t demand that the people with very high welfare are equally well off. Expressions such as “a population with very high positive welfare”, “a population with very low positive welfare”, etc., are elliptical for the more cumbersome phrases “a population consisting only of lives with.. (shrink)

Population axiology concerns how to evaluate populations in regard to their goodness, that is, how to order populations by the relations “is better than” and “is as good as”. This field has been riddled with “paradoxes” which seem to show that our considered beliefs are inconsistent in cases where the number of people and their welfare varies. Already in Derek Parfit’s seminal contribution to the topic, an informal paradox — the Mere Addition Paradox — was presented (...) and later contributions have proved similar results.1 All of these contributions, however, have one thing in common: They all involve an adequacy condition that rules out Parfit’s Repugnant Conclusion: The Repugnant Conclusion: For any perfectly equal population with very high positive welfare, there is a population with very low positive welfare which is better, other things being equal.2 A number of theorists, however, have argued that we should accept the Repugnant Conclusion and hence that avoidance of this conclusion is not a convincing adequacy condition for a population axiology. Torbjörn Tännsjö, for example, argues that the Repugnant Conclusion is not at all repugnant but rather “an unsought, but acceptable, consequence of hedonistic utilitarianism”:3.. (shrink)

Despite having been solved numerous times, the surprise quiz paradox persists in the intellectual imagination as a riddle. This dialogue aims to dispel the fallacies of the paradox in an intuitive way through the causal format of a dialogue. Along the way, two contributions are made to the literature. Even if the student knew there would be a quiz at the end of a quizless Thursday, the fact that the quiz will be a surprise Friday would provide a (...) Gettier-style defeater for his supposed knowledge that he will have a quiz Friday. In addition, pace Sorensen (1988), the dialogue explains why the temporal retention of knowledge is essential to the puzzle and not a mere accident. (shrink)

The quality of a life is typically understood as a function of the actual goods and bads in it, that is, its actual value. Likewise, the value of a population is typically taken to be a function of the actual value of the lives in it. We introduce an alternative understanding of life quality: adjusted value. A life’s adjusted value is a function of its actual value and its ideal value (the best value it could have had). The concept of (...) adjusted value is useful for at least three reasons. First, it fits our judgments about how well lives are going. Second, it allows us to avoid what we call False Equivalence, an error related to the non-identity problem. Third, when we use adjusted value as an input for calculating the value of a population, we can avoid two puzzles that Derek Parfit calls the “Repugnant Conclusion” and the “Mere Addition Paradox.”. (shrink)

This paper focuses on the relations between population ethics and metaethics. Population ethics gives rise to well-known paradoxes, such as the paradox of mere addition. After presenting a version of this paradox, it is argued that a different way to dismantle it might be by considering it as a way to change our standard view of justification in moral theory. Two possible views are considered: a non-cognitivist approach to justification and to the explanation of inconsistency in (...) morals; Parfit's suggestion that certain paradoxes might be «quarantined» without shaking our confidence in moral theories encapsulating them. (shrink)

This paper explores Simone de Beauvoir’s response to G. W. F. Hegel’s formulation of freedom. In The Phenomenology of Spirit, Hegel describes freedom as a twofold, negative movement of dissolution and construction. Beauvoir takes up this distinction in terms of revolution and creative transformation, additionally describing two empty articulations of freedom found in “complaint” and “resignation.” In complaint, the existent is unable to transform the situation in a positive sense and simply reacts against it; in resignation, the existent merely submits (...) to the given. Through this analysis, Beauvoir moves beyond Hegelian optimism by naming modalities of ineffectual freedom requiring attention before the realization of social transformation and revolution. (shrink)

Pruss uses an example of Lester Dubins to argue against the claim that appealing to hyperreal-valued probabilities saves probabilistic regularity from the objection that in continuum outcome-spaces and with standard probability functions all save countably many possibilities must be assigned probability 0. Dubins’s example seems to show that merely finitely additive standard probability functions allow reasoning to a foregone conclusion, and Pruss argues that hyperreal-valued probability functions are vulnerable to the same charge. However, Pruss’s argument relies on the rule of (...) conditionalisation, but I show that in examples like Dubins’s involving nonconglomerable probabilities, conditionalisation is self-defeating. (shrink)

This article addresses the question of whether the relation of moral preference is transitive. I argue, following Larry Temkin and Stuart Rachels, that any ethical theory complex enough to be even minimally plausible allows us to generate intransitive sets of preferences. Even act utilitarianism cannot avoid this predicament unless we accept its least plausible version. We must reevaluate the assumption that an ethical theory must be transitive in order to be rational. This problem amounts to a foundational crisis in ethics. (...) However, it has not been taken seriously for two reasons—the belief that the problem has limited scope; and the claim that arguments against transitivity are 'merely' Sorites arguments. This article responds to both of these objections. I also point out some connections between intransitivity and the debate surrounding skepticism about the moral significance of numbers. (shrink)

Derek Parfit presents his Mere Addition Paradox in order to demonstrate that it is extremely difficult to avoid the Repugnant Conclusion. And in order to avoid it, Parfit has embraced perfectionism. However, Stuart Rachels and Larry Temkin, taking their lead from Parfit, have concluded, instead, that the Repugnant Conclusion can be avoided by denying the axiom of transitivity with respect to the all-things-considered-better-than relation. But this seems to present a major challenge to how we evaluate normatively. In (...) this article I show how the Mere Addition Paradox and the Repugnant Conclusion can both be avoided without subscribing to perfectionism, and without sacrificing the axiom of transitivity. (shrink)

Incommensurability is the impossibility to determine how two options relate to each other in terms of conventional comparative relations. This book features new research on incommensurability from philosophers who have shaped the field into what it is today, including John Broome, Ruth Chang and Wlodek Rabinowicz. The book covers four aspects relating to incommensurability. In the first part, the contributors synthesize research on the competing views of how to best explain incommensurability. Part II illustrates how incommensurability can help us deal (...) with seemingly insurmountable problems in ethical theory and population ethics. The contributors address the Repugnant Conclusion, the Mere Addition Paradox and so-called Spectrum Arguments. The chapters in Part III outline and summarize problems caused by incommensurability for decision theory. Finally, Part IV tackles topics related to risk, uncertainty and incommensurability. Value Incommensurability: Ethics, Risk, and Decision-Making will be of interest to researchers and advanced students working in ethical theory, decision theory, action theory, and philosophy of economics. (shrink)

Ethicists and economists commonly assume that if A is all things considered better than B, and B is all things considered better than C, then A is all things considered better than C. Call this principle Transitivity. Although it has great conceptual, intuitive, and empirical appeal, I argue against it. Larry S. Temkin explains how three types of ethical principle, which cannot be dismissed a priori, threaten Transitivity: (a) principles implying that in some cases different factors are relevant to comparing (...) A to C than to comparing A to B or B to C; (b) principles of limited scope; (c) principles implying that morally relevant differences in degree can amount to differences in kind. My counterexamples employ a principle of type (c): pleasures and pains enormously different in intensity differ in kind. Temkin has also endorsed this type of counterexample, using arguments based on earlier drafts of this paper. (shrink)

In “Weighing Lives” (2004) John Broome criticizes a view common to many population axiologists. On that view, population increases with extra people leading decent lives are axiologically neutral: they make the world neither better nor worse, ceteris paribus. Broome argues that this intuition, however, attractive, cannot be sustained, for several independent reasons. I respond to his criticisms and suggest that the neutrality intuition, if correctly interpreted, can after all be defended.On the version I defend,the world with added extra people at (...) wellbeing levels within the neutrality range is incommensurable in value with the world in which these peaople are absent. (shrink)

Philosophy journals and conferences have recently seen several attempts to argue that 'all-things-considered better than' does not obey strict transitivity. This paper focuses on Larry Temkin's argument in "Intransitivity and the Mere Addition Paradox." Although his argument is not aimed just at utilitarians or even consequentialists in general, it is of prticular significance to consequentialists. If 'all-things-considered better than' does not obey transitivity, there may be choice situations in which there is no optimal choice, which would seem (...) to open the door to a consequentialist account of moral dilemmas. Temkin's argument crucially appeals to what he calls "the Person-Affecting Principle (PAP)", which he roughly characterizes as follows, "On PAP, one outcome is worse than another only if it affects people for the worse" This paper argues that PAP, although plausible, does not hold in precisely those situations in which it would have to hold in order for Temkin's argument against transitivity to work. (shrink)

Philosophy journals and conferences have recently seen several attempts to argue that ‘all-things-considered better than’ does not obey strict transitivity. This paper focuses on Larry Temkin’s argument in “Intransitivity and the Mere Addition Paradox.” Although his argument is not aimed just at utilitarians or even consequentialists in general, it is of particular significance to consequentialists. If ‘all-things-considered better than’ does not obey transitivity, there may be choice situations in which there is no optimal choice, which would seem (...) to open the door to a consequentialist account of moral dilemmas. Temkin’s argument crucially appeals to what he calls “the Person-Affecting Principle (PAP)”. which he roughly characterizes as follows, “On PAP, one outcome is worse than another only if it affects people for the worse” This paper argues that PAP, although plausible, does not hold in precisely those situations in which it would have to hold in order for Temkin’s argument against transitivity to work. (shrink)

A set of arguments shows that either the Repugnant Conclusion and its variants are true or the better-than relation isn't transitive. Which is it? This is the most important question in population ethics. The answer will point the way to Parfit's elusive Theory X.

One of Derek Parfit’s greatest legacies was the search for Theory X, a theory of population ethics that avoided all the implausible conclusions and paradoxes that have dogged the field since its inception: the Absurd Conclusion, the Repugnant Conclusion, the Non-Identity Problem, and the Mere Addition Paradox. In recent years, it has been argued that this search is doomed to failure and no satisfactory population axiology is possible. This chapter reviews Parfit’s life’s work in the field and (...) argues that he provided all the necessary components necessary for a Theory X. It then shows how these components can be combined together and applied to the global challenges Parfit argued matter most: preventing human extinction, managing catastrophic risks, and eradicating global poverty and suffering. Finally, it identifies a number of challenges facing his theory and suggests how these may be overcome. (shrink)

Larry Temkin has shown that Derek Parfit’s well-known Mere Addition Paradox suggests a powerful argument for the intransitivity of the relation “better than.” The crux of the argument is the view that equality is essentially comparative, according to which the same inequality can be evaluated differently depending on what it is being compared to. The comparative view of equality should be rejected, I argue, and hence so too this argument for intransitivity.

Nebel argues for the Repugnant Conclusion via the “Intrapersonal Repugnant Conclusion,” on which certainty of a mediocre life is better for individuals than a sufficiently small chance of an excellent life. In this article, I deny that acceptance of the Intrapersonal Repugnant Conclusion leads us to the Repugnant Conclusion. I point out that on many views which avoid the Repugnant Conclusion we should discount very small probabilities down to zero. If we do, then Nebel’s crucial premise of Ex Ante Pareto (...) fails, because discounting at the individual level can fail to match up with discounting at the population level. (shrink)

It is sometimes argued that if God were to exist, then the actual world would be the best possible world. However, given that the actual world is clearly not the best possible world, then God doesn’t exist. In response, some have argued that the world could always be improved with the creation of new people and that there is thus no best possible world. I argue that this reasoning gives rise to an instance of Parfit’s mere addition (...) class='Hi'>paradox and should thus be rejected. Others (Robert Adams, in particular) have argued that the actual world may, in fact, be the best possible world, at least for all actual people. I argue that this reasoning gives rise to Parfit’s non-identity problem and should thus be rejected. (shrink)

In this paper I argue that de Finetti provided compelling reasons for rejecting countable additivity. It is ironical therefore that the main argument advanced by Bayesians against following his recommendation is based on the consistency criterion, coherence, he himself developed. I will show that this argument is mistaken. Nevertheless, there remain some counter-intuitive consequences of rejecting countable additivity, and one in particular has all the appearances of a full-blown paradox. I will end by arguing that in fact it is (...) no paradox, and that what it shows is that conditionalisation, often claimed to be integral to the Bayesian canon, has to be rejected as a general rule in a finitely additive environment. (shrink)

The conclusion of the McKinsey paradox is that certain contingent claims about the external world are knowable a priori. Almost all of the literature on the paradox assumes that this conclusion is unacceptable, and focuses on finding a way of avoiding it. However, there is no consensus that any of these responses work. In this paper I take a different approach, arguing that the conclusion is acceptable. First, I develop our understanding of what Evans calls merely superficially contingent (...) a priori knowledge, and explain why there is no reason to deny that merely superficially contingent a priori knowledge of the external world is possible. I then argue that, properly understood, the conclusion of the McKinsey paradox is that merely superficially contingent knowledge of certain claims about the external world is possible, and so the conclusion is acceptable. Finally, I respond to the two main arguments that the conclusion of the paradox is unacceptable. (shrink)

Persistent public distrust of food additives is often explained in terms of safety and health issues. The broad variety of ethical, aesthetic, and cultural concerns tends to be structurally ignored by food engineers and occasionally even by consumers themselves. The public controversy of food additives—commonly known as “E-numbers”—in the Netherlands is a case in point. Two discursive mechanisms prevent these concerns from becoming legitimate public issues: irrationalization and privatization. But these consumer concerns may not be as unreasonable as they seem, (...) and they may even turn out to be not that private. As long as ethical, aesthetic and cultural concerns are not recognized by food engineers as legitimate issues, the controversy of food additives is not likely to find closure. Moreover, this lack of recognition blocks the opportunity for meaningful dialogue and trust building between food technology developers, policy makers, citizens and consumers. (shrink)