We give two social aggregation theorems under conditions of risk, one for constant population cases, the other an extension to variable populations. Intra and interpersonal welfare comparisons are encoded in a single ‘individual preorder’. The theorems give axioms that uniquely determine a social preorder in terms of this individual preorder. The social preorders described by these theorems have features that may be considered characteristic of Harsanyi-style utilitarianism, such as indifference to ex ante and ex post equality. However, the theorems are (...) also consistent with the rejection of all of the expected utility axioms, completeness, continuity, and independence, at both the individual and social levels. In that sense, expected utility is inessential to Harsanyi-style utilitarianism. In fact, the variable population theorem imposes only a mild constraint on the individual preorder, while the constant population theorem imposes no constraint at all. We then derive further results under the assumption of our basic axioms. First, the individual preorder satisfies the main expected utility axiom of strong independence if and only if the social preorder has a vector-valued expected total utility representation, covering Harsanyi’s utilitarian theorem as a special case. Second, stronger utilitarian-friendly assumptions, like Pareto or strong separability, are essentially equivalent to strong independence. Third, if the individual preorder satisfies a ‘local expected utility’ condition popular in non-expected utility theory, then the social preorder has a ‘local expected total utility’ representation. Fourth, a wide range of non-expected utility theories nevertheless lead to social preorders of outcomes that have been seen as canonically egalitarian, such as rank-dependent social preorders. Although our aggregation theorems are stated under conditions of risk, they are valid in more general frameworks for representing uncertainty or ambiguity. (shrink)

A mixture preorder is a preorder on a mixture space (such as a convex set) that is compatible with the mixing operation. In decision theoretic terms, it satisfies the central expected utility axiom of strong independence. We consider when a mixture preorder has a multi-representation that consists of real-valued, mixture-preserving functions. If it does, it must satisfy the mixture continuity axiom of Herstein and Milnor (1953). Mixture continuity is sufficient for a mixture-preserving multi-representation when the dimension of the mixture space (...) is countable, but not when it is uncountable. Our strongest positive result is that mixture continuity is sufficient in conjunction with a novel axiom we call countable domination, which constrains the order complexity of the mixture preorder in terms of its Archimedean structure. We also consider what happens when the mixture space is given its natural weak topology. Continuity (having closed upper and lower sets) and closedness (having a closed graph) are stronger than mixture continuity. We show that continuity is necessary but not sufficient for a mixture preorder to have a mixture-preserving multi-representation. Closedness is also necessary; we leave it as an open question whether it is sufficient. We end with results concerning the existence of mixture-preserving multi-representations that consist entirely of strictly increasing functions, and a uniqueness result. (shrink)

This book is a translation of Zubiri's lectures, published posthumously and partially edited by Zubiri for publication. This translation was made possible by a grant from the Spanish Ministry of Culture and is the product of three experts in the thought of Zubiri.

Separability is roughly the principle that, in comparing the value of two outcomes, one can ignore any people whose existence and welfare are unaffected. Separability is both antecedently plausible, at least as a principle of beneficence, and surprisingly powerful; it is the key to some of the best positive arguments in population ethics. This chapter surveys the motivations for and consequences of separability. In particular, it presents an ‘additivity theorem’ which explains how separability leads to total utilitarianism and closely related (...) axiological views. It then examines systematically how this family of views can avoid the Repugnant Conclusion by incorporating lexicality, a critical level, or a neutral range. (shrink)

This chapter presents several arguments related to Parfit's notion of evaluative imprecision and his imprecisionist lexical view of population ethics. After sketching Parfit's view, it argues that, contrary to Parfit, imprecision and lexicality are both compatible with thinking about goodness in terms of positions on a scale of value. Then, by examining the role that imprecision is meant to play in defusing spectrum argument, it suggests that imprecision should be identified with vagueness. Next, it argues that there is space for (...) robust moral realists to think of evaluative vagueness as a semantic phenomenon, illustrating this view with a version of conceptual role semantics on which the precisifications of betterness are correctness conditions for the precisifications of preference. Finally, it gives a probability-based argument against the imprecisionist lexical view. (shrink)

It is notoriously difficult to find an intuitively satisfactory rule for evaluating populations based on the welfare of the people in them. Standard examples, like total utilitarianism, either entail the Repugnant Conclusion or in some other way contradict common intuitions about the relative value of populations. Several philosophers have presented formal arguments that seem to show that this happens of necessity: our core intuitions stand in contradiction. This paper assesses the state of play, focusing on the most powerful of these (...) ‘impossibility theorems’, as developed by Gustaf Arrhenius. I highlight two ways in which these theorems fall short of their goal: some appeal to a supposedly egalitarian condition which, however, does not properly reflect egalitarian intuitions; the others rely on a background assumption about the structure of welfare which cannot be taken for granted. Nonetheless, the theorems remain important: they give insight into the difficulty, if not perhaps the impossibility, of constructing a satisfactory population axiology. We should aim for reflective equilibrium between intuitions and more theoretical considerations. I conclude by highlighting one possible ingredient in this equilibrium, which, I argue, leaves open a still wider range of acceptable theories: the possibility of vague or otherwise indeterminate value relations. (shrink)

ABSTRACT I consider paradoxical spectrum arguments involving transitive relations like ‘better than’. I argue that, despite being formally different from sorites arguments, at least some spectrum arguments arise from vagueness, and that vagueness might often be the most natural diagnosis.

We begin by showing that every theory of the value of uncertain prospects must have one of three unpalatable properties. _Reckless_ theories recommend giving up a sure thing, no matter how good, for an arbitrarily tiny chance of enormous gain; _timid_ theories permit passing up an arbitrarily large potential gain to prevent a tiny increase in risk; _non-transitive_ theories deny the principle that, if A is better than B and B is better than C, then A must be better than (...) C. Having set up this trilemma, we study its horns. Non-transitivity has been much discussed; we focus on drawing out the costs and benefits of recklessness and timidity when it comes to axiology, decision theory, and normative uncertainty. (shrink)

The asymmetry is the view in population ethics that, while we ought to avoid creating additional bad lives, there is no requirement to create additional good ones. The question is how to embed this intuitively compelling view in a more complete normative theory, and in particular one that treats uncertainty in a plausible way. While arguing against existing approaches, I present new and general principles for thinking about welfarist choice under uncertainty. Together, these reduce arbitrary choices to uncertainty-free ones, regardless (...) of how the latter should be made. I illustrate these principles by developing two theories of the asymmetry, reflecting different views about the non-identity problem. In doing so, I clarify some other major choice-points, presenting new arguments that creating additional good lives can justify (but not require) doing harm. Finally, I consider what the developed theories have to say about the importance of extinction risk and the long-run future. (shrink)

This thesis consists of several independent papers in population ethics. I begin in Chapter 1 by critiquing some well-known 'impossibility theorems', which purport to show there can be no intuitively satisfactory population axiology. I identify axiological vagueness as a promising way to escape or at least mitigate the effects of these theorems. In particular, in Chapter 2, I argue that certain of the impossibility theorems have little more dialectical force than sorites arguments do. From these negative arguments I move to (...) positive ones. In Chapter 3, I justify the use of a 'veil of ignorance', starting from three more basic normative principles. This leads to positive arguments for various kinds of utilitarianism - the best such arguments I know. But in general the implications of the veil depend on how one answers what I call 'the risky existential question': what is the value to an individual of a chance of non-existence? I chart out the main options, and raise some puzzles for non-comparativism, the view that life is incomparable to non-existence. Finally, in Chapter 4, I consider the consequences for population ethics of the idea that what is normatively relevant is not personal identity, but a degreed relation of psychological connectedness. In particular, I pursue a strategy based in population ethics for understanding the controversial 'time-relative interests' account of the badness of death. (shrink)

Lewis’s Principal Principle says that one should usually align one’s credences with the known chances. In this paper I develop a version of the Principal Principle that deals well with some exceptional cases related to the distinction between metaphysical and epistemic modal­ity. I explain how this principle gives a unified account of the Sleeping Beauty problem and chance-­based principles of anthropic reasoning. In doing so, I defuse the Doomsday Argument that the end of the world is likely to be nigh. (...) GPI Working Paper No. 8-2021. (shrink)

I present a new argument that we are much more likely to be living in a computer simulation than in the ground-level of reality. (Similar arguments can be marshalled for the view that we are more likely to be Boltzmann brains than ordinary people, but I focus on the case of simulations.) I explain how this argument overcomes some objections to Bostrom’s classic argument for the same conclusion. I also consider to what extent the argument depends upon an internalist conception (...) of evidence, and I refute the common line of thought that finding many simulations being run—or running them ourselves—must increase the odds that we are in a simulation. GPI Working Paper No. 16-2021. (shrink)

I explore the possibility of a structuralist interpretation of homotopy type theory (HoTT) as a foundation for mathematics. There are two main aspects to HoTT's structuralist credentials. First, it builds on categorical set theory (CST), of which the best-known variant is Lawvere's ETCS. I argue that CST has merit as a structuralist foundation, in that it ascribes only structural properties to typical mathematical objects. However, I also argue that this success depends on the adoption of a strict typing system which (...) undermines the metaphysical seriousness of this structuralism. Homotopy type theory adds to CST a distinctive theory of identity between sets, which arguably allows its objects to be seen as ante rem structures. I examine the prospects for such a view, and address many other interpretive problems as they arise. (shrink)

True benevolence is, most fundamentally, a desire that the world be better. It is natural and common, however, to frame thinking about benevolence indirectly, in terms of a desire to make a difference to how good the world is. This would be an innocuous shift if desires to make a difference were extensionally equivalent to desires that the world be better. This paper shows that at least on some common ways of making a “desire to make a difference” precise, this (...) extensional equivalence fails. Where it fails, “difference-making preferences” run counter to the ideals of benevolence. In particular, in the context of decision making under uncertainty, coupling a “difference-making” framing in a natural way with risk aversion leads to preferences that violate stochastic dominance, and that lead to a strong form of collective defeat, from the point of view of betterness. Difference-making framings and true benevolence are not strictly mutually inconsistent, but agents seeking to implement true benevolence must take care to avoid the various pitfalls that we outline. (shrink)

We provide a careful development and rigorous proof of the CPT theorem within the framework of mainstream quantum field theory. This is in contrast to the usual rigorous proofs in purely axiomatic frameworks, and non-rigorous proof-sketches in the mainstream approach. We construct the CPT transformation for a general field directly, without appealing to the enumerative classification of representations, and in a manner that is clearly related to the requirements of our proof. Our approach applies equally in Minkowski spacetimes of any (...) dimension at least three, and is in principle neutral between classical and quantum field theories: the quantum CPT theorem has a natural classical analogue. The key mathematical tool is that of complexification; this tool is central to the existing axiomatic proofs, but plays no overt role in the usual mainstream approaches to CPT. (shrink)

We provide conditions under which an incomplete strongly independent preorder on a convex set X can be represented by a set of mixture preserving real-valued functions. We allow X to be infi nite dimensional. The main continuity condition we focus on is mixture continuity. This is sufficient for such a representation provided X has countable dimension or satisfi es a condition that we call Polarization.

Is the overall value of a world just the sum of values contributed by each value-bearing entity in that world? Additively separable axiologies (like total utilitarianism, prioritarianism, and critical level views) say 'yes', but non-additive axiologies (like average utilitarianism, rank-discounted utilitarianism, and variable value views) say 'no'. This distinction appears to be practically important: among other things, additive axiologies generally assign great importance to large changes in population size, and therefore tend to strongly prioritize the long-term survival of humanity over (...) the interests of the present generation. Non-additive axiologies, on the other hand, need not assign great importance to large changes in population size. We show, however, that when there is a large enough `background population' unaffected by our choices, a wide range of non-additive axiologies converge in their implications with additive axiologies—for instance, average utilitarianism converges with critical-level utilitarianism and various egalitarian theories converge with prioritarianism. We further argue that real-world background populations may be large enough to make these limit results practically significant. This means that arguments from the scale of potential future populations for the astronomical importance of avoiding existential catastrophe, and other arguments in practical ethics that seem to presuppose additive separability, may succeed in practice whether or not we accept additive separability as a basic axiological principle. (shrink)

A mixture preorder is a preorder on a mixture space (such as a convex set) that is compatible with the mixing operation. In decision theoretic terms, it satisfies the central expected utility axiom of strong independence. We consider when a mixture preorder has a multi-representation that consists of real-valued, mixture-preserving functions. If it does, it must satisfy the mixture continuity axiom of Herstein and Milnor (1953). Mixture continuity is sufficient for a mixture-preserving multi-representation when the dimension of the mixture space (...) is countable, but not when it is uncountable. Our strongest positive result is that mixture continuity is sufficient in conjunction with a novel axiom we call countable domination, which constrains the order complexity of the mixture preorder in terms of its Archimedean structure. We also consider what happens when the mixture space is given its natural weak topology. Continuity (having closed upper and lower sets) and closedness (having a closed graph) are stronger than mixture continuity. We show that continuity is necessary but not sufficient for a mixture preorder to have a mixture-preserving multi-representation. Closedness is also necessary; we leave it as an open question whether it is sufficient. We end with results concerning the existence of mixture-preserving multi-representations that consist entirely of strictly increasing functions, and a uniqueness result. (shrink)

We present an abstract social aggregation theorem. Society, and each individual, has a preorder that may be interpreted as expressing values or beliefs. The preorders are allowed to violate both completeness and continuity, and the population is allowed to be infinite. The preorders are only assumed to be represented by functions with values in partially ordered vector spaces, and whose product has convex range. This includes all preorders that satisfy strong independence. Any Pareto indifferent social preorder is then shown to (...) be represented by a linear transformation of the representations of the individual preorders. Further Pareto conditions on the social preorder correspond to positivity conditions on the transformation. When all the Pareto conditions hold and the population is finite, the social preorder is represented by a sum of individual preorder representations. We provide two applications. The first yields an extremely general version of Harsanyi's social aggregation theorem. The second generalizes a classic result about linear opinion pooling. (shrink)

The history of Zubiri in North America began with his visit to Princeton University in1946. Initial scholarly interest in Zubiri’s philosophy was the product of work by RobertCaponigri and Frederick Wilhelmsen in the 1960s and 70s. Thomas Fowler learned aboutZubiri from these gentlemen and began his work of translation and publishing in the1970s. Caponigri’s translation of Sobre la esencia and Fowler’s translation of Naturaleza,Historia, Dios were published in the early 80s. Others including Nelson Orringer, GaryGurtler, and Leonard Wessell had (...) been investigating Zubiri, and the four met at the I Congreso Xavier Zubiri in Madrid in 1993. Later Fowler decided that a focus for Zubiri studieswas needed for North America and the English-speaking world, and he established the Xavier Zubiri Foundation of North America in 1997. Shortly thereafter he completed and theFoundation published his translation of Inteligencia sentiente. The Xavier Zubiri Reviewwas launched in 1998, with papers on Zubiri presented at the XX World Congress of Philosophy. The journal is now in its sixth volume. Interest in Zubiri’s work continues togrow, and now many more people in North America are investigating his thought. NelsonOrringer’s translation of Estructura dinámica de la realidad was published in 2003, bringthe four the number of published translations of Zubiri. Joaquin Redondo has translatedZubiri’s theology trilogy and is now at work on other Zubiri translations.La historia de Zubiri en América del Norte empieza con su visita a la Universidad dePrinceton en 1946. El interés erudito inicial en la filosofía de Zubiri resulta del trabajo deRobert Caponigri y Frederick Wilhelmsen en los años sesenta. Thomas Fowler sabe de Zubiri de estos señores y empieza su trabajo de traducción y publicación en los años setenta.La traducción de Caponigri de Sobre la esencia y la traducción de Fowler de Naturaleza,Historia, Dios se publicaron a principios de los años ochenta. Otros incluso Nelson Orringer, Gary Gurtler, y Leonard Wessell estaban investigando la filosofía de Zubiri, y los cuatrose encuentran en el I Congreso Xavier Zubiri en Madrid en 1993. Después Fowler decideque un enfoque para los estudios de Zubiri es necesario para América del Norte y el mundoangloparlante, y con la ayuda de la Fundación Xavier Zubiri en Madrid, establece la XavierZubiri Foundation of North America en 1997. Dentro de poco él complete y la Fundaciónpublica su traducción de Inteligencia sentiente. La Xavier Zubiri Review se lanzó en 1998,con ponencias sobre Zubiri presentados al XX Congreso Mundial de Filosofía. El periódicoestá ahora en su sexto volumen. Interés en el trabajo de Zubiri continúa creciendo, y ahorahay muchos más personas en América del Norte que están investigando su pensamiento.La traducción de Nelson Orringer de Estructura dinámica de la realidad se publicó en 2003,y con esto ya hay cuatro traducciones al inglés de Zubiri publicadas. Joaquín Redondo hatraducido la trilogía de teología de Zubiri y sigue traduciendo otras obras de Zubiri. (shrink)

Hayek's substantial contribution to theoretical psychology has been addressed in the work of Thomas Szasz, Gerald Edelman, and Joaquin Fuster.

The work of Thomas White represents a systematic attempt to combine the best of the new science of the seventeenth century with the best of Aristotelian tradition. This attempt earned him the criticism of Hobbes and the praise of Leibniz, but today, most of his attempts to navigate between traditions remain to be explored in detail. This paper does so for his ontology of accidents. It argues that his criticism of accidents in the category of location as entities over (...) and above substances was likely aimed at Francisco Suárez, and shows how White’s worries about the analysis of location were linked with his broader cosmological views. White rejects real qualities, but holds that the quantity of a substance is somehow distinct from its bearer. This reveals a common ground with some of his scholastic interlocutors, but lays bare a deep disagreement with thinkers like Descartes on the nature of matter. (shrink)

Opioid and sedative use are common ‘active’ practices in the provision of mainstream palliative care services, and are typically distinguished from euthanasia on the basis that they do not shorten survival time. Even supposing that they did, it is often argued that they are justified and distinguished from euthanasia via appeal to Aquinas’ Doctrine of Double Effect. In this essay, I will appraise the empirical evidence regarding opioid/sedative use and survival time, and argue for a position of agnosticism. I will (...) then argue that the Doctrine of Double Effect is a useful ethical tool but is ultimately not a sound ethical principle, and even if it were, it is unclear whether palliative opioid/sedative use satisfy its four criteria. Although this essay does not establish any definitive proofs, it aims to provide reasons to doubt—and therefore weaken—the often-claimed ethical distinction between euthanasia and palliative opioid/sedative use. (shrink)

Good Sport argues that the values and meanings embedded within sport provide the guidance we need to make difficult decisions about fairness and performance-enhancing technologies. By examining how sport's history, rules and practices identify and celebrate natural talent and dedication, the book illuminates not just what we champion in the athletic arena but more broadly what we value in human achievement.

Naturalism is the current orthodoxy in analytic philosophy. Naturalism is the conjunction of the (ontological) claim that all that truly exists are the entities countenanced by the natural sciences and the (epistemological) claim that the only true knowledge is natural-scientific knowledge. Drawing on some recent work in Critical Theory, this article argues that naturalism qualifies as an ideology. This is the case because naturalism meets three key aspects shared by paradigmatic cases of ideology: (i) naturalism has practical consequences and implications (...) of a specific kind, (ii) those endorsing naturalism fall prey to a dual deception: having false meta-level beliefs about naturalism as being without alternative, and (iii) naturalism has a tendency towards self-immunisation. The article ends by suggesting we pull naturalism out of our collective cognitive backgrounds onto the main stage of critical discourse, making it a proper topic for philosophical critique again. (shrink)

The Kantian account of political authority holds that the state is a necessary and sufficient condition of our freedom. We cannot be free outside the state, Kantians argue, because any attempt to have the ‘acquired rights’ necessary for our freedom implicates us in objectionable relations of dependence on private judgment. Only in the state can this problem be overcome. But it is not clear how mere institutions could make the necessary difference, and contemporary Kantians have not offered compelling explanations. I (...) present a detailed analysis of the problems Kantians identify with the state of nature and the objections they face in claiming that the state overcomes them. I then sketch a response on behalf of Kantians. The key idea is that only under state institutions can a person can make claims of acquired right without presupposing that she is by nature exceptional in her capacity to bind others. (shrink)

This special issue on general proof theory collects papers resulting from the conference on general proof theory held in November 2015 in Tübingen.

More than at any other time in human history, we live in an age defined by movement and mobility; and yet, we lack a single contemporary ontology which takes this seriously as a starting point for philosophy. Being and Motion sets out to remedy this lacuna in contemporary thought by providing a historical ontology of our present: an ontology of movement.

Languages are complex systems that allow speakers to produce novel grammatical utterances. Yet, linguists differ as to how general and abstract they think the mental representation of speakers have to be to give rise to this grammatical creativity. In order to shed light on these questions, the present study looks at one specific construction type, English comparative correlatives, that turns out to be particularly interesting in this context: on the one hand it has been described in terms of one of (...) the most abstract and general syntactic rules, on the other hand it shows specific idiomatic structures that are often produced without any variation. While the syntax and semantics of the English Comparative Correlative construction have received considerable attention in the literature, so far only a small number of usage-based analyses have been published on the topic. These either only relied on small databases or focussed only on the productivity of one slot in the construction. In contrast to this, the present study analyses more than 1,400 CC tokens sampled from COCA. The results of the present study yield important results concerning English CC constructions, including the schematicity and generality of their mental representations. (shrink)

The aim of this paper is to argue that the utilitarian principle of criminalization is sounder than its poor reputation suggests. The paper begins by describing three possible answers to the research question: To what extent should the consequences of criminalization matter morally in a theory of criminalization? Hereafter I explain why I shall discuss only two of these answers. Then follows a detailed and critical specification of UPC. Furthermore, I will argue why criticisms of UPC made by philosophers such (...) as Douglas Husak and Victor Tadros in their recent work are far from convincing. Finally, I will present a positive reason for accepting UPC as a principle of criminalization, namely: that UPC is consistent with what I call the Counterproductive Criminalization Principle, while non-consequentialist theories of criminalization are not. (shrink)

in Thomas S. Petersen and Jesper Ryberg, eds., Normative Ethics: 5 Questions.

We assess the current state of sociology of religion, particularly in the United States, for the extent to which a “critical sociology of religion” currently exists and how it might look if it did. We focus particular attention on two areas of inquiry: religion and health; and religion and violence.

Cristina Lafont has written a searching and thought-provoking philosophical work on the nature of deliberation in modern democracy. Much of the book is a critique of recent efforts to ground the activity of deliberation in democracy in the light of two sobering and challenging obstacles to the implementation of deliberative democracy in modern society. One challenge arises from the observation of the pluralism of opinion and value in modern democracy. Good faith disagreement on principles and values is wide ranging in (...) modern societies and seems to undermine most kinds of consensus aside from the most abstract agreement. A second challenge arises from the division of labor in society and stems from the observation that citizens are often quite ignorant of politics in modern society. They often seem to base their decisions on slim grounds. In what follows, I cannot pretend to do justice to this rich and engrossing book. I will discuss the central concepts of self-government and blind deference first and point to a difficulty that I think lies at the heart of Lafont’s approach. I will then discuss her arguments against deep pluralism and suggest how I think they miss the target and how I think one ought to reply fully to pluralism. I will also take up her arguments against lottocracy, which I think are good ones. But I will argue that they are not sufficient to demonstrate why we should not be lottocrats. I will then conclude with some remarks about what is necessary to respond to the problems lottocracy is meant to respond to. (shrink)

Book reviewed in this article: Ethical Dilemmas and Social Science Research. By Paul Davidson Reynolds.

ABSTRACTRemembering to perform a behaviour in the future, prospective memory, is essential to ensuring that people fulfil their intentions. Prospective memory involves committing to memory a cue to action, and later recognising and acting upon the cue in the environment. Prospective memory performance is believed to be influenced by the emotionality of the cues, however the literature is fragmented and inconsistent. We conducted a systematic search to synthesise research on the influence of emotion on prospective memory. Sixty-seven effect sizes were (...) extracted from 17 articles and hypothesised effects tested using three meta-analyses. Overall, prospective memory was enhanced when positively-valenced rather than neutral cues were presented. In contrast, negatively-valenced cues did not enhance prospective memory overall, but this effect was moderated by the timing of the emotional manipulation. Prospective memory performance was improved when negatively-valenced... (shrink)