It has been argued that Prioritarianism violates Risky Non-Antiegalitarianism, a condition stating roughly that an alternative is socially better than another if it both makes everyone better off in expectation and leads to more equality. I show that Risky Non-Antiegalitarianism is in fact compatible with Prioritarianism as ordinarily defined, but that it violates some other conditions that may be attractive to prioritarians. While I argue that the latter conditions are not core principles of Prioritarianism, the choice between these conditions and (...) Risky Non-Antiegalitarianism nonetheless constitutes an important intramural debate for prioritarians. (shrink)

Many differences exist between the logical relations “equality” and “equivalence”. In this monograph I point out differences that concern definition, linguistics, computational gates and tables, denotation, application, negation of terms, negation of the relation, relations to other relations, the laws of symmetry, transitivity and reflexivity, the laws of commutation and permutation, the law of tautology, the law of distribution, the law of association, propositional meaning, and “genesis”. I also point out a form of “symmetry breaking”: the negation of some equality (...) may yield some non-equality, while the negation of that non-equality might not yield the same equality. (For full access: use the website link of the title page. -- Copyright License: CC BY-NC-ND. -- DOI: 10.17026/dans-zh3-h2b2 --). (shrink)

A possible person’s conditional expected well-being is what the quality of their prospects would be if they were to come into existence. This paper examines the role that this form of expected well-being should play in distributing benefits among prospective people and in deciding who to bring into existence. It argues for a novel egalitarian view on which it is important to ensure equality in people’s life prospects, not merely between actual individuals, but also between all individuals who, (...) given our choices, have a chance of coming into existence. The paper argues that such egalitarianism for prospective people springs from equal concern for each person and has plausible implications. It further shows that it has a rationale in respect for both the unity of the individual and the separateness of persons. Finally, it defends this view against a key objection and shows it is superior to a rival view. (shrink)

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)

This article explores the Rawlsian goal of ensuring that distributions are not influenced by the morally arbitrary. It does so by bringing discussions of distributive justice into contact with the debate over moral luck initiated by Williams and Nagel. Rawls’ own justice as fairness appears to be incompatible with the arbitrariness commitment, as it creates some equalities arbitrarily. A major rival, Dworkin’s version of brute luck egalitarianism, aims to be continuous with ordinary ethics, and so is (a) sensitive to non-philosophical (...) beliefs about free will and responsibility, and (b) allows inequalities to arise on the basis of option luck. But Dworkin does not present convincing reasons in support of continuity, and there are compelling moral reasons for justice to be sensitive to the best philosophical account of free will and responsibility, as is proposed by the revised brute luck egalitarianism of Arneson and Cohen. While Dworkinian brute luck egalitarianism admits three sorts of morally arbitrary disadvantaging which correspond to three forms of moral luck (constitutive, circumstantial, and option luck), revised brute luck egalitarianism does not disadvantage on the basis of constitutive or circumstantial luck. But it is not as sensitive to responsibility as it needs to be to fully extinguish the influence of the morally arbitrary, for persons under it may exercise their responsibility equivalently yet end up with different outcomes on account of option luck. It is concluded that egalitarians should deny the existence of distributive luck, which is luck in the levels of advantage that individuals are due. (shrink)

Hun Chung’s recent article “Rawls’s Self-Defeat: A Formal Analysis” argues that the selection of results equivalent to justice as fairness can be derived by utilitarianism. Chung argues that these results can be achieved through the use of Rawls’s constructed utility function from his work Justice as Fairness. Although Chung’s article is finely argued and presented in great detail, this paper will show that Chung made three mistakes in the fundamentals of his argument. First, Chung mistakes Rawls’s constructed utility function (...) as actually utilitarian. Second, Chung confuses the motivations and the assumptions of those held by agents in the original position and those held by utilitarian agents. Last, Chung’s previous mistakes result in the incorrect conclusion that an equal distribution of resources will be selected by representative agents instead of the unequal distribution prescribed by the difference principle. (shrink)

Social inequality may obstruct the generation of knowledge, as the rich and powerful may bring about social acceptance of skewed views that suit their interests. Epistemic equality in the context of justification is a means of preventing such obstruction. Drawing on social epistemology and theories of equality and distributive justice, we provide an account of epistemic equality. We regard participation in, and influence over a knowledge-generating discourse in an epistemic community as a limited good that needs to be justly (...) class='Hi'>distributed among putative members of the community. We argue that rather than trying to operationally formulate an exact criterion for distributing this good, epistemic equality may be realized by insisting on active participation of members of three groups in addition to credited experts: relevant disempowered groups, relevant uncredited experts, and relevant stakeholders. Meeting these conditions fulfills the political, moral, and epistemic aims of epistemic equality. (shrink)

In his classic book “the Foundations of Statistics” Savage developed a formal system of rational decision making. The system is based on (i) a set of possible states of the world, (ii) a set of consequences, (iii) a set of acts, which are functions from states to consequences, and (iv) a preference relation over the acts, which represents the preferences of an idealized rational agent. The goal and the culmination of the enterprise is a representation theorem: Any preference relation that (...) satisfies certain arguably acceptable postulates determines a (finitely additive) probability distribution over the states and a utility assignment to the consequences, such that the preferences among acts are determined by their expected utilities. Additional problematic assumptions are however required in Savage's proofs. First, there is a Boolean algebra of events (sets of states) which determines the richness of the set of acts. The probabilities are assigned to members of this algebra. Savage's proof requires that this be a σ-algebra (i.e., closed under infinite countable unions and intersections), which makes for an extremely rich preference relation. On Savage's view we should not require subjective probabilities to be σ-additive. He therefore finds the insistence on a σ-algebra peculiar and is unhappy with it. But he sees no way of avoiding it. Second, the assignment of utilities requires the constant act assumption: for every consequence there is a constant act, which produces that consequence in every state. This assumption is known to be highly counterintuitive. The present work contains two mathematical results. The first, and the more difficult one, shows that the σ-algebra assumption can be dropped. The second states that, as long as utilities are assigned to finite gambles only, the constant act assumption can be replaced by the more plausible and much weaker assumption that there are at least two non-equivalent constant acts. The second result also employs a novel way of deriving utilities in Savage-style systems -- without appealing to von Neumann-Morgenstern lotteries. The paper discusses the notion of “idealized agent" that underlies Savage's approach, and argues that the simplified system, which is adequate for all the actual purposes for which the system is designed, involves a more realistic notion of an idealized agent. (shrink)

Despite being increasingly available to us all, retirement pensions remain unequally distributed: between rich and poor, young and old, men and women, and possibly different generations. As this topic receives little attention in moral and political philosophy, the articles in this thesis aim to deliver an original account of justice in retirement pensions along liberal egalitarian lines. The first part defends retirement pensions as a distribution of free time. It shows that including free time in the list of goods (...) that liberal egalitarians prioritise is plausible and avoids problems that would otherwise arise with other candidates, most notably leisure. Retirement as free time is an essential feature of liberal egalitarian societies by (re)distributing the means to pursue any life project, and especially valuable for the poor who work and contribute the longest. The second part makes a case for 'libertirement', a proposal to increase the freedom to enjoy free time across life, as a matter of justice between those who live long and those who die early. Specifically, I propose adding reverse pensions and sabbaticals on top of old-age retirement. Besides showing the importance of longevity for age-group justice, I also draw implications for distributing unconditional basic income and income taxes across life, which I suggest may offer alternative paths to libertirement. Finally, the third part discusses the cases of pension inequality between genders and generations, pushing us to refine our account further. I conclude that there is often a mismatch between liberal egalitarian justice and the design of retirement schemes. The solution is often but not always to reform these systems. Sometimes, we have reasons to revise our very own principles of justice. (shrink)

Luck egalitarianism makes a fundamental distinction between inequalities for which agents are responsible and inequalities stemming from luck. I give several reasons to find luck egalitarianism a compelling view of distributive justice. I then argue that it is an incomplete theory of equality. Luck egalitarianism lacks the normative resources to achieve its ends. It is unable to specify the prior conditions under which persons are situated equivalently such that their choices can bear this tremendous weight. This means that luck egalitarians (...) need to become pluralists who understand equality not merely in terms of choice, luck, and responsibility. After developing my critical argument that luck egalitarianism is incomplete, I sketch a strategy for rehabilitating and filling out the theory. (shrink)

The difference between the unity of the individual and the separateness of persons requires that there be a shift in the moral weight that we accord to changes in utility when we move from making intrapersonal tradeoffs to making interpersonal tradeoffs. We examine which forms of egalitarianism can, and which cannot, account for this shift. We argue that a form of egalitarianism which is concerned only with the extent of outcome inequality cannot account for this shift. We also argue that (...) a view which is concerned with both outcome inequality and with the unfairness of inequality in individuals‘ expected utilities can account for this shift. Finally, we limn an alternative view, on.. (shrink)

This essay examines the connection between socioeconomic mobility and equality, and argues for two conclusions: (a) Socioeconomic mobility is conceptually distinct from three common species of equality: (1) equality of opportunity, (2) equality of outcome, and (3) relational equality. -/- (b) However, socioeconomic mobility is connected — in different ways — to each species of equality, and, if we value one or more of these species of equality, these connections endow mobility with derivative normative significance.

A consistent finding in research on conditional reasoning is that individuals are more likely to endorse the valid modus ponens (MP) inference than the equally valid modus tollens (MT) inference. This pattern holds for both abstract task and probabilistic task. The existing explanation for this phenomenon within a Bayesian framework (e.g., Oaksford & Chater, 2008) accounts for this asymmetry by assuming separate probability distributions for both MP and MT. We propose a novel explanation within a computational-level Bayesian account of (...) reasoning according to which “argumentation is learning”. We show that the asymmetry must appear for certain prior probability distributions, under the assumption that the conditional inference provides the agent with new information that is integrated into the existing knowledge by minimizing the Kullback-Leibler divergence between the posterior and prior probability distribution. We also show under which conditions we would expect the opposite pattern, an MT-MP asymmetry. (shrink)

Considerations of dynamic inconsistency have figured prominently in debates over the rationality of preferences that violate the separability conditions characteristic of expected utility theory. These debates have mostly focused on risk- and ambiguity averse preferences, but analogous considerations apply to preferences for fairness. We revisit these debates in the context of a specific hypothesis regarding the violations of separability by such preferences, namely that they are potentially both explained and rationalised by attitudes to the chances of goods that motivate (...) a preference for equality in the distribution of chances across people and possible events. Our main aim is to argue that, first, when these violations of static separability are motivated by such attitudes to chances, then they need not result in dynamically inconsistent behaviour. Second, and more generally, considerations of dynamic consistency do not, we argue, undermine the rationality of such attitudes towards the distribution of chances, despite the fact that such attitudes give rise to violations of the static separability assumptions of expected utility theory. (shrink)

In the face of continuing assumptions by many scientists and journal editors that p-values provide a gold standard for inference, counter warnings are published periodically. But the core problem is not with p-values, per se. A finding that “p-value is less than α” could merely signal that a critical value has been exceeded. The question is why, when estimating a parameter, we provide a range (a confidence interval), but when testing a hypothesis about a parameter (e.g. µ = x) we (...) proceed as if “=” entails exact equality of the parameter with x. That standard is hard to meet, and is not a standard expected for power calculations, where we are satisfied to reject a null hypothesis H0 if the result is merely “detectably” different from (exact) H0. This paper explores, with resampling (simulation) methods, the impacts on p-values, and alternatives, if the null hypothesis is defined as a thick or thin range of values. It also examines, empirically, the extent to which the p-value may or may not be a good predictor of the probability that H0 is true, given the distribution of the data. (shrink)

The Australian Federal Government has announced a two-year trial scheme to compensate living organ donors. The compensation will be the equivalent of six weeks paid leave at the rate of the national minimum wage. In this article I analyse the ethics of compensating living organ donors taking the Australian scheme as a reference point. Considering the long waiting lists for organ transplantations and the related costs on the healthcare system of treating patients waiting for an organ, the 1.3 million (...) AUD the Australian Government has committed might represent a very worthwhile investment. I argue that a scheme like the Australian one is sufficiently well designed to avoid all the ethical problems traditionally associated with attaching a monetary value to the human body or to parts of it, namely commodification, inducement, exploitation, and equality issues. Therefore, I suggest that the Australian scheme, if cost-effective, should represent a model for other countries to follow. Nonetheless, although I endorse this scheme, I will also argue that this kind of scheme raises issues of justice in regard to the distribution of organs. Thus, I propose that other policies would be needed to supplement the scheme in order to guarantee not only a higher number of organs available, but also a fair distribution. (shrink)

We present a vignette study conducted with a quota sample of the German population (n = 400). Subjects had to redistribute a good between two hypothetical persons who contributed equally to the available amount but differed in quantity needed and the reason for their neediness. On a within-subjects level, we tested for the effects of need, accountability, and resource availability on their third-party distribution decisions. Between subjects, we further varied the kinds of needs: The persons either needed the good (...) as a means to survive, to live a decent life, to participate in society, or to be autonomous. Despite equal productivity, the mean share allocated to the needier person was significantly higher than an equal share. However, this share turned out significantly smaller when the needier person was accountable for needing more than the other. Nonetheless, even if accountable, the needier person still got a share larger than their contribution would suggest. When there was a surplus of resources, the needier person got an even higher share than when resources were scarce. (shrink)

This paper considers the view that the basis of equality is the range property of being a moral person. This view, suggested by John Rawls in his A Theory of Justice (1971), is commonly dismissed in the literature. By defending the view against the criticism levelled against it, I aim to show that this dismissal has been too quick. The critics have generally failed to fully appreciate the fact that Rawls's account is restricted to the domain of distributive justice. On (...) Rawls's view distributive justice is a matter of the fair terms of cooperation among the participants of a system of social cooperation. I argue that this understanding of distributive justice can provide a compelling rationale for considering moral personality as the basis of equality for this domain of morality. That moral persons are indeed equal is further supported by an intuitive argument concerning the irrelevance of morally arbitrary factors, giving us reasons to believe that varying capacities among moral persons does not result in an unequal moral status. The dismissal of Rawls's account of equality has thus been premature, and it remains an important view to consider. (shrink)

Predication is a lingual relation. We have this relation when a term is said (λέγεται) of another term. This simple definition, however, is not Aristotle’s own definition. In fact, he does not define predication but attaches his almost in a new field used word κατηγορεῖσθαι to λέγεται. In a predication, something is said of another thing, or, more simply, we have ‘something of something’ (ἓν καθ᾿ ἑνὸς). (PsA. , A, 22, 83b17-18) Therefore, a relation in which two terms are posited (...) to each other in a way that one is said (predicated) of the other is a predication. The term of which the other term is said is called a subject (ὑποκειμένον) and the other, which is said about the subject, is called the predicate. Thus, in a predication the predicate is predicated of the subject; given that being predicated is almost as the same as being said. The relation between being said and being predicated is so close that ‘if something is said of a subject both its name and its definition are necessarily predicated of the subject.’ (Cat., 5, 2a19-26) This, however, is true only about the second genera and not the accidents. a) Nature of relation in predication What is Aristotle’s theory about the nature of the relation in a predication? How does he fundamentally understand this relation? Phil Corkum distinguishes between predication logic and traditional term logic and argues that the relation between subject and predicate in Aristotle is of the latter kind. While in predicate logic, subjects and predicates have distinct roles, they have the same role in traditional term logic. In predication logic, subjects refer, but predicates characterize. Thereupon, a sentence expresses a truth if the object to which the subject refers is correctly characterized by the predicate. In traditional term logic, both subjects and predicates refer and a sentences expresses a truth if both name one and the same thing. He concludes that Aristotle ‘problematically conflates prediction and identity claims’ because while he thinks both subjects and predicates refer, he would deny that a sentence is true just in case the subject and the predicate name one and the same thing. Based on this, Corkum believes that Aristotle’s core semantic is not identity but the weaker relation of constitution, which is a mereological interpretation: ‘All men are mortal’ is true just in case the mereological sum of humans is part of the mereological sum of mortals. b) Aristotle’s theory of predication: one or two theories? Frank Lewis finds an inconsistent gap between the theory of predication in the Categories and that in the later books of the Metaphysics VII, 6. So too Joan Kung, Terry Irwin, Daniel Graham. c) Distinction of ‘being said of’ and ‘being in’ Owen enumerates the texts in which Aristotle’s distinction between ‘being said of’ and ‘being in’ is asserted: OI. 11b38-12a17; To., 127b1-4; Cat. 1a20-b9; 2a11-14; 2a27-b6; 2b15-17; 3a7-32; 9b22-24 d) Predication in Aristotle and the standard ‘S is P’ Marie De Rijk Lambertus thinks that the ‘S is P’ pattern is misleading when it comes to express predication in Aristotle. In his view, ‘The Aristotelian procedure should be described in terms of appositively assigning an attribute (κατηγορούμενον) to a substrate (ὑποκείμενον), rather than ascribing a predicate to a subject by means of a copula…. The comment should be considered an attribute which is said to fall to a substrate, without understanding this procedure in terms of sentence predication.’ e) Aristotle’s predication: bipartite or tripartite? It is a difficulty to make Aristotle’s theories of name-verb predication and tripartite predication consistent. The reason is that tripartite is not consistant with his name-verb structure based on which he says that the predicate term is the ‘verb.’ (20a31; 20b1-2; 16a13-5) The problem is that in a tripartite form like ‘Socrates is white’ we cannot take ‘is white’ as the verb because, based on Aristotle himself, no part of a verb can be significant itself. (16b6-7) However, his assertions about the equivalences between the two structures (OI. 12, 21b9-10; PrA. 51b13-16; Met., 1017b22-30) must mean that they are not inconsistent in his own view. Thus, as Allen Bāck points, ‘Aristotle seems to think that he has a single, consistent theory.’ The sense of saying or speaking as the root sense of rhema makes the relation between predication (saying something of something) and verb more interesting. The use of rhema in the sense of a long expression approves this. In Plato’s work (399ac) where Socrates claims that the name anthropos derives from anthron ha opopen (‘he who examines what he has seen’) we have an onoma from, or in place of, a rhema. 1) Subject The subject (ὑποκειμένον) is that of which another term is said or predicated. Aristotle’s own definition is of a much more philosophical value: ‘By subject I mean that which is expressed by an affirmative term (λέγω δὲ ὑποκείμενον τὸ κάταφάσει δηλούμενον).’ (Met., K, 1067b18) Throughout Aristotle’s work, three kinds of subjects can be found: possible, prime and absolute subject. a) Possible subject Those things that can take the position of a subject in a predication we call possible subjects, no matter they can or cannot take the position of predicate in any predication. All terms except the ultimate predicates are possible subjects because they can take the position of subject. b) Prime subject Those that in any predication can only take the position of a subject and not the position of a predicate are prime subjects. (Cat., 5, 3a36-b2; Met., Z, 1028b36-1029a1) This is the truest sense of subject and belongs only to substances. (Met., Z, 1029a1-2) In fact, ‘that which is not predicated of a subject, but of which all else is predicated’ is a substance. (Met., Z, 1029a7-9) In Categories, besides primary substances (Cat., 2, 1b3-6), individual qualities are also said not to be able to be said of anything else. (Cat., 2, 1a23-29) Aristotle’s examples are a certain ‘knowledge-of-grammar’ (τὶς γράμματικὴ) and ‘an individual white’ (τὸ τὶ λευκὸν). Thus, although substances are indeed in the truest sense individuals and, thereby, in the truest sense primary subjects, other individuals can take the position of subject as well. c) Absolute subject While substances are prime subjects of all other things, there is still something of which substances can be predicated and this predication is not an accidental predication: matter. (Met., Z, 1029a21-24) This predication is, indeed, the predication of a ‘form or this’ on matter and material substance. (Met., Θ, 1049a34-36) The only thing that is absolutely a subject, therefore, and can be a predicate is prime matter (πρώτη ὓλη). (Met., Θ, 1049a24-27) d) Subject and substance The most important thing in being a substance is being a subject: ‘It is because the primary substances are subjects for all the other things and all the other things are predicated of them or are in them, that they are called substances most of all.’ (Cat., 5, 2b15-17) And what is nearer to this position is more a substance as a species is more a substance than a genus.’ (Cat., 5, 2b7-8) e) Primary versus accidental subject A subject is a primary subject in a predication when the predicate is predicated of it as itself. In such a case, the subject is the subject of the predicate qua itself and not qua something else. A subject, on the one hand, is an accidental subject when it is not the primary subject of the predicate that is predicated on it. It means that a subject is an accidental subject when the predicate is predicated of it not qua itself but qua something else. An accidental subject is, therefore, anything other than a substance. 2) Predicate as universal It is evident from our discussion of kinds of subjects that except matter, primary substances (if we ignore both accidental predication and cases of absolute subjects) and other individuals, everything else can take the position of a predicate. Since primary substances are individuals, it results that everything except matter and individuals are capable to take the position of predicate. The immediate consequence of this is that the predicate must be a universal. When individuals cannot take the position of predicate, this position cannot be taken by any particular. Therefore, only universals can be predicated of others. Moreover, albeit universals can be a simple subject (for another universal), they are not prime subjects. The closeness of universal and predicate is to the extent that Aristotle differentiates universal from subject. (Met., Θ, 1049a27-30) 3) Categories or classes of predicates Aristotle distinguishes ten highest classes into one of which each predicate must necessarily fall: substance (or what a thing is), quality, quantity, relation, place, time, position, state, activity and passivity. (Cat., 4, 1b25-27; To., I, 9, 103b20- ; PsA., A, 22, 83b13-23) The substance counted among predicates must refer to secondary and not primary substances not only because Aristotle insists that primary substances cannot be predicated but also from his own examples of the category of substance: man and animal. (To., I, 9, 103b25) However, if a predicate be asserted of itself or its genus be asserted of it, the predicate signifies substance or what is; but if ‘one kind of predicate is asserted of another kind,’ it signifies one of the other nines. (To., I, 9, 103b30) These categories are so comprehensive that no predicate can remain outside them so that even non-being has as many senses as categories. (Met., M, 1089a26-30) a) That whether Aristotle’s categories are merely linguistic or fundamentally ontological is a so much controversial dispute. Some like G. E. R. Lloyd believe that ‘categories are primarily intended as a classification of reality … rather than of the signifying terms themselves.’ b) Although Aristotle’s categories have been historically regarded as a classification of predications, there are some recent commentators like Jonathan Barnes that think it is classifying predicates and not predications. 4) Kinds of predicates In his introduction of Categories, as J. W. Thorp truly points out , Aristotle distinguishes between the category of substance and the other categories using μὲν ... δὲ construction. This construction illustrates that beside tenfold classification of categories, there is an even more crucial differentiation between two kinds of predicates: substance or what is on the one hand and the other nine ones on the other hand: the distinction between what is predicated of the subject as what it is and what is predicated of it as an accident. Therefore, we have three kinds of classification - a twofold, a fourfold and a tenfold-complicatedly classifying the same thing, viz. the predicate. Predicates can be divided also to four kinds: property, definition, genus and accident. (To., I, 4, 101b11-20) A property is that predicate that is convertible with its subject and does not signify its essence. A definition is that predicate that is convertible with its subject and signifies its essence. It is a genus if it is not predicated convertibly and is contained in the definition of its subject. And it is an accident if it is neither convertible nor contained in the definition of its subject. (To., I, 8, ^103b3) All of these four kinds are among categories. (To., I, 9, 103b20) It seems that there might be some kind of relation between the twofold and the fourfold distinction: whereas genus and definition are predicated as what it is, accidents are not so predicated. There seems to be some rules that determine to each of these four kinds each predicate belongs. At To., IV, 123b30ff. Aristotle asserts: ‘If B has a contrary and A does not, then B does not belong to A as its genus.’ There is a dispute around per se accidents (τὰ καθ’ αὑτὰ συμβεβηκότα) (Topics., 102a18) whether they must be regarded as either of the four kinds or as a fifth kind. Barnes (1970) argued that they ‘do not fit at all neatly into the fourfold classification.’ He argues that based on the definition of accidents at A, 5, 102b4-5, they must be accidents but based on another definition, A, 5, 102b6-7, they cannot be accidents. He also defends the view that they are not properties. Barnes concludes: ‘This shows that the two definitions are not equivalent, and hence that the ‘predicables’ are not well-defined.’ Demetris J. Hadgopoulos defends the view that the two definitions of accidents are equivalent and per se accidents are properties. 5) Five types of predications We have five kinds of predications based on our division of subjects and our discussion of predicates: simple, primary (itself divided to substantial and accident), accidental (itself divided to primary and secondary), aoincidental and absolute predication. a) Simple predication. This is a predication in which a universal is predicated of either a particular or a universal subject. This sense of predication includes all other senses except the first kind of accidental predication. b) Primary predication. This is a predication in which a universal is predicated of a primary subject, namely a substance. A primary predication is of two kinds: i) Substantial predication. A primary predication in which the predicate is part of, or is included in, the definition of the subject. The universal that is the predicate here is the definition or the genus or the species or the diferentia of the subject. It is this predication that Aristotle calls a unity: ‘A statement may be called a unity … because it exhibits a single predicate as inhering not accidentally in a single subject.’ (PsA., B, 10, 93b35-37) It is only substantial predicates that can be predicated of each other: ‘Predicates which are not substantial are not predicated of one another.’ (PsA., A, 22, 83b18-19) Aristotle defines a substantial predication also in another way. A predication in which a higher genus is predicated on a lower genus, species, a substance or an individual, (or a species is predicated on an individual) is a substantial predication. Therefore, a substantial predication is a predication in a series that has individuals on one of its ends and a general category on its other end. In fact, only substantial predicates can be predicated of one another. (PsA., A, 22, 83b17-19) This series cannot be an infinite series because otherwise not only substances would not be definable but also a genus would be equal to one of its own species. (PsA., A, 22, 83b7-10) -/- ii) Accident predication. A primary predication in which the predicate is not part of, or is not included in, the definition of its subject. The universal that is the predicate here is the property or the accident of the subject. c) Accidental predication. This is a predication in which the subject is not a primary subject and its predicate is a substance. This predication is of two kinds: i) Primary accidental predication. This is a predication in which an accident is predicated of substance. Such a predication can go ad infinitum, which is inferable from Aristotle’s assertion that the secondary accidental predication cannot go ad infinitum. ii) Secondary accidental predication. It is a predication in which an accident is predicated of another accident. Such a predication, Aristotle asserts, cannot go ad infinitum because even more than two accidents cannot be combined. Now what is the meaning of Aristotle’s assertion that we cannot continue this ad infinitum? Does it mean that we cannot continue the predication ‘The musician is white’ and say ‘The white is Athenian?’ But why not? Or maybe he means that by adding any predication, we are still in a condition of predicating two accidents of a substance on each other. -/- As primary subjects, substances can also take the position of predicate though not essentially but accidentally. In propositions like ‘the white is a log’ or ‘That big thing is a log’ we observe substance taking the position of predicate but this is only accidentally: ‘When I affirm ‘the white is a log,’ I mean that something which happens to be white is a log- not that white is the subject in which log inheres (οὐχ ὡς τὸ ὑποκείμενον τῷ ξύλῳ τὸ λευκόν ἐστι), for it was not qua white or qua a species of white that the white (thing) came to be a log (οὔτε λευκὸν ὄν οὔθ᾿ ὃπερ λευκόν τι ἐγἐνετο ξύλον), and the white (thing) is consequently not a log except incidentally.’ (PsA., 22, 83a3-9) Aristotle compares this accidental use of substance in the position of predicate with the substantial use of it in the place of a subject: ‘On the other hand, when I affirm ‘the log is white,’ I do not mean that something else, which happens to be a log, is white (οὐχ ὃτι ἓτερόν τί ἐστι λευκόν, ἐκείνῳ δὲ συμβέβηκε ξύλῳ εἶναι), (as I should if I said ‘the musician is white,’ which would mean ‘The man who happens also to be a musician is white’); on the contrary, log is here the subject- the subject which actually came to be white, and did so qua wood or qua a species of wood and qua nothing else.’ (PsA., 22, 83a8-14) Aristotle asks us not to call propositions like ‘The white is a log’ a predication at all or at least call them accidental predication instead of simple (ἁπλως) predication. (PsA., A, 22, 83a14-17) An accidental predication, in which we have a substance in the place of predicate, is different from an essential predication in that while the subject of an accidental predication is said to be the predicate not by itself but as something different with which it coincides, the subject of an essential predicate is said to be the predicate by itself and not because it is something else: ‘Since there are attributes which are predicated of a subject essentially and not accidentally- not, that is, in the sense in which we say ‘That white (thing) is a man,’ which is not the same mode of predication as when we say ‘The man is white’: the man is white not because he is something else but because he is man, but the white is man because ‘being white’ coincides with ‘humanity’ within one subject. Therefore, there are terms such as are essentially subjects of predicates. (PsA., A, 19, 81a24-29) This capability of ‘non-essentially and only accidentally’ being a subject does belong, in fact, to all sensible things. (PsA., A, 27a32-36) d) Coincidental predication. this is a predication in which none of the subject and predicate are a substance or an individual. In this predication, one of the accidents of a substance or individual is predicated of one of the other accidentals of the same substance or individual. For example, when it is said that ‘The white is musical,’ there is an individual, say Socrates, for which both of white and musical are accidents. e) Absolute predication. This is a predication in which a form or a substance is predicated of a matter or a material substance. Some commentators like Loux and Lewis regarded this predication as close to accident predication, both based on inherence. As R.M. Dancy points out, these predications make Aristotle’s theory of predication immanentist: not only accident predications are explained by the immanence of accidents in substances, some of the substantial predications, which were not explained in Categories, are also explained by the immanence of form in matter. It is interesting that in this kind of predication, it is the predicate and not the subject, which is in the strictest sense substance. As the central books of Metaphysics claim, the form is the substance. Thus, in this predication, substance gets away from the sense of ὑποκείμενον. Corkum mentiones 68a19 as the only instance where Aristotle explicitly claims that a term may be predicated of itself, a passage that is, in Corkum’s view, problematic. 6) Demonstrable predicates Those predicates are demonstrable that are so related to their subjects that there are other predicates prior to them predicable of their subjects (ἔτι δ᾿ ἄλλος, εἰ ὧν πρότερα ἄττα κατηγορεῖται). (PsA., A, 22, 83b32-34) 7) Series of predications Since it is possible for a predicate to be itself the subject of another predication, we can have a series of predications in which the predicate of a predication is the subject of the next predication. This series has the following features: a) It has a limit (in number) (PsA., A, 22, 83b14-16) on the side of subjects: there are subjects that cannot themselves be predicated (PsA., A, 27, 43a39-41), which are, as we noted, prime subjects: particulars, i.e. prime substances and other individuals. (PsA., A, 19-22) Aristotle calls them ultimate (ὓστατον). (PsA., 21, 82a36-b1) b) It has a limit (in number of kinds) (PsA., A, 22, 83b14-16) also on the side of predicates: there must be predicates that cannot be subjects. (PsA., A, 19-22; PsA., A, 27, 43a36-39) Aristotle calls them primary (πρῶτον). (PsA., A, 21, 82b1-4) These are the highest categories or the highest genera of categories. (PsA., A, 22, 83b14-16) c) The series has an escalating shape from mere subjects at its downside to mere predicates at its upside. It is Aristotle himself whos uses the words up and down in this sense. (e.g. PsA., A, 22, 83b2-3) d) The predications that lie between lowest and highest ones must be finite in number. (PsA., A, 19-22 especially: 20, 82a21-35) These have subjects and predicates, each capable of both of the roles of being subject and being predicated. A result of this fitness is that neither demonstration can go to infinity nor everything is demonstrable, the two points Aristotle always insist on. e) The upward side includes the more universal ones and the downward the more particular ones. (PsA., 20, 82a21-23) f) It follows from the above features that ‘neither the ascending nor the descending series of predications … are infinite.’ (PsA., A, 22, 83b24-25) g) Reciprocation and convertibility. Except in case of terms (i.e. subjects and predicates) that are at each of the ends of series of predications, namely ultimates and primaries, it is possible to reciprocate (ἀντιστρέφειν) terms and convert the predication. (PsA., A, 19, 82a15-20) h) Antipredication. Antipredication means that in a predication (S is P), the subject becomes the predicate of its predicate (P is S) in the same category its predicate was predicated on it. For example, if P is in the category of quality, antipredication means that S be predicated of P in the category of quality. In other words, P is a quality of S and S is a quality of P. Aristotle rejects this. (PsA., A, 22, 83a36-b3) i) Self-predication versus other-predication. Aristotle distinguishes between a predication in which a term is said of itself and a predication in which a term is said of another. (Phy., Δ, 2, 209a31-33) j) Predicablity (Cat., 5, 3a36-b2): 1) Primary substances and individuals are not predicable. 2) Secondary substances are of two kinds: genus and species i) Genus is predicable able both of the species and of the individuals. ii) Species is predicable of the individual. 3) Differentiae are predicable both of the species and of the individuals. 8) Predication as classification a) Richard Patterson believes that Aristotle’s so repeated construction using hoper (estin A hoper B) in Topics (120a23 sq., 122b19, 26sq., 123a, 124a18, 125a29, 126a21, 128a35. Also in Posterior Analytics (83a24-30) (Brunschwig’s list. ‘expresses the fact that A is a kind of B (esti A B tis), that A is a species of the genus B.’ 9) Universal predication Aristotle defines universal predication (κατὰ παντὸς κατηγορεῖσθαι) as such: ‘wherever no instance of the subject (τῶν τοῦ ὑποκειμέμνου) can be found of which the other term cannot be asserted.’ (PrA., A, 24b27-29) In this predication, the subject is included in another as in a whole (ἐν ὃλῳ εἶναι) and the predicate is predicated of all of the subject (κατὰ παντὸς κατηγορεῖσθαι). (PrA., A, 24b26-27) Attach another discussion we had about ἐν ὃλῳ here. 10) Quantity of predication A predication, truly stated, has a quantity, which is the number of objects under the name of the subject of which the predicate is predicated. The quantity of subject can be stated in four ways: a. Indefinite: when the predicate belongs or does not belong to the subject without any mark to show to haw many of the particulars under the name of the subject it does or does not belong. E.g. ‘Man is white’; ‘Man is not white.’ (PrA., A, 24a20; OI., I, 7, 17b8-12) b. Universal quantity: When the predicate belongs to all or none of the subject. E.g. ‘Every man is animal’; ‘No man is animal.’ (PrA., A, 24a18-19; OI., I, 7, 17b5-6) The contrary of a predication of a universal quality is a predication of a universal quality. E.g. the contrary of ‘Every man is white’ is ‘No man is white.’ (OI., I, 7, 17b20-23) c. Particular quantity: When the predicate belongs (or does not belong) to some of the subject. E.g. ‘Some men are white’; ‘Some men are not white.’ (PrA., A, 24a19-20) d. Single quantity: when the subject is a proper name of only one object. E.g. ‘Socrates is white’; ‘Socrates is not white.’ The contrary of this predication is of a single quantity: ‘Socrates is not white.’ (OI., I, 7, 17b38-18a4) 11) Convertibility of predication. Some predications are convertible, that is, it is possible to change the place of subject and predicate in a true proposition so that the converted proposition remains true. This is supposed to mean that given the truth of a predication, the truth of the converted predication is inferable. The convert form of a predication depends on its quantity. a. Indefinite quantity: This predication has no strictly true convert because its quantity is not stated. b. Universal quantity: It can be converted in two ways: i) A negative universal can be converted to a negative universal in which the terms are changed. E.g. ‘No pleasure is good’ can be converted to ‘No good is pleasure.’ (PrA., A, 2, 25a5-8 and a14-19) ii) An affirmative universal can be converted to an affirmative particular in which the terms are changed. E.g. ‘Every pleasure is good’ can be converted to ‘Some good is pleasure.’ (PrA., A, 2, 25a7-9) c. Particular quantity: If it is negative, it cannot be converted but if it is affirmative, it can be converted to an affirmative predication with particular quantity. E.g. ‘Some pleasure is good’ can be converted to ‘Some good is pleasure.’ (PrA., A, 2, 25a10-13 and a20-24) d. Single quantity: It cannot be converted. 12) Characteristics of relations between subject and predicate 1. A predicate is of a wider range than its subject. It is based on this fact that Aristotle: a) Prevents individuals to be predicate because there is nothing of which an individual be of a wider range. In other words, it is due to the fact that since an individual is only ‘one particular’ thing and, thus, cannot be of a wider extent than anything that Aristotle prevents them of being a predicate. Matthews, however, thinks we cannot use Socrates, a substance and an individual, in the place of predicate and say it of Socrates because ‘Socrates does not classify Socrates: it names him.’ b) Prevents differentia, species and things under species to be predicated of genus. (To., Z, 6, 144a27-) c) Prevents the species and the things under it to be predicated of the differentia. (To., Z, 6, 144b1-4) d) Also about the effect because it is wider than its subject. (PsA., B, 17, 99a) e) Each attribute is wider than every individual it is predicated on, though several attributes, collectively considered, might not be wider but exactly the substance of a thing. (PsA., B, 13, 96a32-b1) 2. The predicate of a predicate of a subject will be predicated of the subject too: ‘whenever one thing is predicated of another as of a subject, all things said of what is predicated will be said of the subject too.’ (Cat., 3, 1b10-15) In fact, it is due to its predication of the subject that it is predicated of its predicate. (Cat., 5, 2a36-b1) Moreover, what is not predicated of the predicate of a subject cannot be predicated of it as well. (PrA., A, 27, 43b22-27) Thus, what, for example, is not predicated of animal, cannot be predicated of man. 3. The predicate of a subject can be predicated of its predicates as well. (Cat., 5, 3a1-6) For example, you call the individual man grammatical and, thence, you call both a man and an animal grammatical. Nonetheless, the predicate of a subject belongs to it more properly than to its higher predicates. (PrA., A, 27, 43a27-32) 4. It is only the subject that can be distributed and not the predicate. (PrA., A, 27, 43b16-22; OI, I, 7, 17b12-16) Therefore, we can say e.g. ‘Every man is animal’ but we cannot say ‘Every man is every animal.’ 5. It is the reason of the relation between subjects and predicates, that is the reason of predication, which is the subject of inquiry. (Met., Z, 1041a20-24) In other words, since it is a meaningless inquiry to ask why a thing is itself (Met., Z, 1041a14-15), the only remaining meaningful inquiry is to ask why something is something else, i.e. to ask about the reason of predication. 6. A subject cannot categorize its predicate in the same category in which it is categorized by it. If e.g. A is a quality of B, B cannot be a quality of A. Therefore, there is no reciprocation in the same category. (PsA., A, 22, 83a36-39) 13) Characteristics of series of predications 1. A series of secondary accidental predication cannot go ad infinitum for not even more than two terms can be comnbined. For an accident is not an accident of an accident, unless it be because both are accidents of the same subject. (Met., Γ, 1007b1-4) 2. Infinite series cannot be traversed in thought. (PsA., A, 22, 83b6-7) 3. The predications of genera on each other must be ended and cannot go to infinity because otherwise not only substances would not be definable but also a genus would be equal to one of its own species. (PsA., A, 22, 83b7-10) Therefore, a series of predication of genera on each other must be limited on both sides. There must be an upward limit in general categories as well as a downward limit in individual because they cannot be predicated of others. Whatever lies between these limits can both be predicated of others and others be predicated of them. (PrA., A, 27, 43a36-43) 4. The order of predicates matters: it makes a difference whether the series be ABC or BAC. (PsA., B, 13, 96b25-32) . (shrink)

Distributive justice decision making tends to require a trade off between different valued outcomes. The present study tracked computer mouse cursor movements in a forced-choice paradigm to examine for tension between different parameters of distributive justice during the decision-making process. Participants chose between set meal distributions, to third parties, that maximised either equality (the evenness of the distribution) or efficiency (the total number of meals distributed). Across different formulations of these dilemmas, responding was consistent with the notion that individuals (...) tend to base decisions in part on the magnitude of these parameters. In addition, dilemmas associated with inconsistent responding across the sample tended to elicit the greatest spatial deviation of the cursor, potentially reflecting dilemma difficulty. One interpretation of these results is that individuals value equality and efficiency in such a way that moral dilemmas are resolved by comparing the perceived value of these qualitatively different parameters, consistent with a value pluralistic framework of decision making. A post-hoc analysis indicated that individuals also incorporated sufficiency concerns during distributive justice decision making. The results are discussed in relation to political philosophy. (shrink)

Luck egalitarians equalize the outcome enjoyed by people who exemplify the same degree of distributive desert by removing the influence of luck. They also try to calibrate differential rewards according to the pattern of distributive desert. This entails that they have to decide upon, among other things, the rate of reward, i.e., a principled way of distributing rewards to groups exercising different degrees of the relevant desert. However, the problem of the choice of reward principle is a relatively and undeservedly (...) neglected issue among luck egalitarians. The main goal of this paper is to highlight the importance and difficulty of this problem, and to elaborate upon G. A. Cohen's community-oriented response to it. In the last section, I provide a taxonomy of distributive pluralism, contrasting Cohen’s view with other (not so genuine) pluralisms - especially with all-things-considered varieties - while trying to motivate readers to adopt the more robust form of pluralism. (shrink)

Epistemic states of uncertainty play important roles in ethical and political theorizing. Theories that appeal to a “veil of ignorance,” for example, analyze fairness or impartiality in terms of certain states of ignorance. It is important, then, to scrutinize proposed conceptions of ignorance and explore promising alternatives in such contexts. Here, I study Lerner’s probabilistic egalitarian theorem in the setting of imprecise probabilities. Lerner’s theorem assumes that a social planner tasked with distributing income to individuals in a population is “completely (...) ignorant” about which utility functions belong to which individuals. Lerner models this ignorance with a certain uniform probability distribution, and shows that, under certain further assumptions, income should be equally distributed. Much of the criticism of the relevance of Lerner’s result centers on the representation of ignorance involved. Imprecise probabilities provide a general framework for reasoning about various forms of uncertainty including, in particular, ignorance. To what extent can Lerner’s conclusion be maintained in this setting? (shrink)

In this article, we aim to map out the complexities which characterise debates about the ethics of vaccine distribution, particularly those surrounding the distribution of the COVID-19 vaccine. In doing so, we distinguish three general principles which might be used to distribute goods and two ambiguities in how one might wish to spell them out. We then argue that we can understand actual debates around the COVID-19 vaccine – including those over prioritising vaccinating the most vulnerable – as reflecting disagreements (...) over these principles. Finally, we shift our attention away from traditional discussions of distributive justice, highlighting the importance of concerns about risk imposition, special duties, and social roles in explaining debates over the COVID-19 vaccine. We conclude that the normative complexity this article highlights deepens the need for decision-making bodies to be sensitive to public input. (shrink)

Several democratic theorists have recently sought to vindicate the ideal of equal political power (“political equality”) by tying it to the non-derivative value of egalitarian relationships. This chapter critically discusses such arguments. It clarifies what it takes to vindicate the ideal of political equality, and distinguishes different versions of the relational egalitarian argument for it. Some such arguments appeal to the example of a society without social status inequality (such as caste or class structures); others to personal relationships among equals, (...) like friendship. Each strategy faces problems. After discussing what social status consists in, the chapter argues that social status equality does not require an equal distribution of power, but only that unequal distributions are not justified on grounds incompatible with the citizens’ fundamental equal moral standing. By contrast, personal relationships among equals do require equal power; but establishing that their norms apply to our political community is challenging. (shrink)

In this chapter, Fourie identifies and systematizes the impairments associated with having privilege and evaluates their implications for theories of relational equality and distributive justice. Having certain social privileges, for example, being a man in a patriarchal society, can also be damaging; in other words, there are “impairments of privilege.” Fourie delineates six kinds of impairments—epistemic, evaluative, emotional, health-related, affiliative, and moral. She then goes on to assess the implications of the impairments of privilege for two theories in political philosophy. (...) Relational egalitarianism, she argues, has the theoretical resources to identify and address the problems associated with these impairments, whereas distributive egalitarianism does not. Furthermore, she argues that assessing the impairments of privilege through relational egalitarianism helps to characterize a society of equals: we must address the causes of functional impairments, express respect for the worse off by not normalizing the experiences of the privileged, and minimize competitive positionality. (shrink)

Distributive justice, defined as justice in distribution of income and wealth, is impossible. Income and wealth are distributed either unequally or equally. If unequally, then those with less are unjustly subject to social contempt. But equal distribution is impossible because it is inconsistent with bargaining to advance our own good. Hence justice in distribution of income and wealth is impossible. More generally, societies where social relations are mediated by money are necessarily unjust, and Marx was wrong to think (...) a socialist society which retained money would lead to communism. Contributive justice proposes that each flourishes by advancing the flourishing of others. To achieve this goal all labor, both simple and complex, must be shared among all capable of doing it. The good of contributing our abilities to benefit others is then available to all non-competitively. (shrink)

Equality and identity. Bulletin of Symbolic Logic. 19 (2013) 255-6. (Coauthor: Anthony Ramnauth) Also see https://www.academia.edu/s/a6bf02aaab This article uses ‘equals’ [‘is equal to’] and ‘is’ [‘is identical to’, ‘is one and the same as’] as they are used in ordinary exact English. In a logically perfect language the oxymoron ‘the numbers 3 and 2+1 are the same number’ could not be said. Likewise, ‘the number 3 and the number 2+1 are one number’ is just as bad from a logical point (...) of view. In normal English these two sentences are idiomatically taken to express the true proposition that ‘the number 3 is the number 2+1’. Another idiomatic convention that interferes with clarity about equality and identity occurs in discussion of numbers: it is usual to write ‘3 equals 2+1’ when “3 is 2+1” is meant. When ‘3 equals 2+1’ is written there is a suggestion that 3 is not exactly the same number as 2+1 but that they merely have the same value. This becomes clear when we say that two of the sides of a triangle are equal if the two angles they subtend are equal or have the same measure. -/- Acknowledgements: Robert Barnes, Mark Brown, Jack Foran, Ivor Grattan-Guinness, Forest Hansen, David Hitchcock, Spaulding Hoffman, Calvin Jongsma, Justin Legault, Joaquin Miller, Tania Miller, and Wyman Park. -/- ► JOHN CORCORAN AND ANTHONY RAMNAUTH, Equality and identity. Philosophy, University at Buffalo, Buffalo, NY 14260-4150, USA E-mail: [email protected] The two halves of one line are equal but not identical [one and the same]. Otherwise the line would have only one half! Every line equals infinitely many other lines, but no line is [identical to] any other line—taking ‘identical’ strictly here and below. Knowing that two lines equaling a third are equal is useful; the condition “two lines equaling a third” often holds. In fact any two sides of an equilateral triangle is equal to the remaining side! But could knowing that two lines being [identical to] a third are identical be useful? The antecedent condition “two things identical to a third” never holds, nor does the consequent condition “two things being identical”. If two things were identical to a third, they would be the third and thus not be two things but only one. The plural predicate ‘are equal’ as in ‘All diameters of a given circle are equal’ is useful and natural. ‘Are identical’ as in ‘All centers of a given circle are identical’ is awkward or worse; it suggests that a circle has multiple centers. Substituting equals for equals [replacing one of two equals by the other] makes sense. Substituting identicals for identicals is empty—a thing is identical only to itself; substituting one thing for itself leaves that thing alone, does nothing. There are as many types of equality as magnitudes: angles, lines, planes, solids, times, etc. Each admits unit magnitudes. And each such equality analyzes as identity of magnitude: two lines are equal [in length] if the one’s length is identical to the other’s. Tarski [1] hardly mentioned equality-identity distinctions (pp. 54-63). His discussion begins: -/- Among the logical concepts […], the concept of IDENTITY or EQUALITY […] has the greatest importance. -/- Not until page 62 is there an equality-identity distinction. His only “notion of equality”, if such it is, is geometrical congruence—having the same size and shape—an equivalence relation not admitting any unit. Does anyone but Tarski ever say ‘this triangle is equal to that’ to mean that the first is congruent to that? What would motivate him to say such a thing? This lecture treats the history and philosophy of equality-identity distinctions. [1] ALFRED TARSKI, Introduction to Logic, Dover, New York, 1995. [This is expanded from the printed abstract.] . (shrink)

When are logical theories equivalent? I discuss the notion of ground-equivalence between logical theories, which can be useful for various theoretical reasons, e.g., we expect ground-equivalent theories to have the same ontological bearing. I consider whether intertranslatability is an adequate criterion for ground-equivalence. Jason Turner recently offered an argument that first-order logic and predicate functor logic are ground-equivalent in virtue of their intertranslatability. I examine his argument and show that this can be generalized to other intertranslatable logical (...) theories, which supports the following: intertranslatability implies ground-equivalence. I also argue, however, that this ground-equivalence argument can be challenged as it faces a dilemma. The dilemma arises because the argument allows two distinct readings, the ‘internal’ and the ‘external’ reading. I argue that the argument turns out to be unsuccessful in both readings. The upshot of this dilemma in both philosophy of logic and metaphysics is considered. (shrink)

Taking equality seriously means that we ought to consider the ways in which persons are not only unfairly advantaged or disadvantaged from the start – e.g., through genetic inheritance, wealth, or a parent’s educational background – but also how opportunities and rewards that result from these basic inequalities are later exacerbated in the distribution of goods and opportunities. The basic point of equality as a normative principle is not that everyone have similar things or achieve similar outcomes, that would be (...) undesirable both for reasons having to do with individual liberty as well as social need. (shrink)

In the luck egalitarian literature, one influential formulation of luck egalitarianism does not specify whether equalities that do not reflect people’s equivalent exercises of responsibility are bad with regard to inequality. This equivocation gives rise to two competing versions of luck egalitarianism: asymmetrical and symmetrical luck egalitarianism. According to the former, while inequalities due to luck are unjust, equalities due to luck are not necessarily so. The latter view, by contrast, affirms the undesirability of equalities as well as inequalities (...) insofar as they are due to luck. The symmetrical view, we argue, is by far the more compelling, both by internal luck egalitarian standards and in light of the external rightist emphasis on choice and responsibility to which luck egalitarianism may partly be seen as a response. Our main case for the symmetrical view is that when some people, against a background of equal opportunities, do not exercise their responsibility to the same degree as others, they cannot justifiably call for equalizing measures to be put in place. Indeed, such measures would be positively unfair. The symmetrical view, accordingly, rejects compensation in such cases, whereas the asymmetrical view, implausibly, enjoins it. We also examine two objections to this argument. First, that this view fails to qualify as genuinely egalitarian, instead collapsing the notion of equality into the notion of desert. Second, that the opposing asymmetrical view, in contrast to the symmetrical view, can draw support from its compatibility with sufficientarian concerns. Both objections are rebutted. We conclude that luck egalitarians are best served by endorsing the symmetrical, luck-neutralizing stance. (shrink)

Many hold that distributing healthcare according to medical need is a requirement of equality. Most egalitarians believe, however, that people ought to be equal on the whole, by some overall measure of well-being or life-prospects; it would be a massive coincidence if distributing healthcare according to medical need turned out to be an effective way of promoting equality overall. I argue that distributing healthcare according to medical need is important for reducing individuals' uncertainty surrounding their future medical needs. In other (...) words, distributing healthcare according to medical need is a natural feature of healthcare insurance; it is about indemnity, not equality. (shrink)

In recent years, interest in desert-based theories of justice has increased, and this seems to represent a challenge to equality-based theories of justice.[i] The best distribution of outcomeadvantage with respect to desert, after all, need not be the most equal distribution of outcomeadvantage. Some individuals may deserve more than others. Outcome egalitarianism is, however, implausible, and so the conflict of outcome desert with outcome equality is of little significance.[ii] Most contemporary versions of egalitarianism are concerned with neutralizing the differential effects (...) of brute luck and not with equality of outcome. I shall argue that, in order to be plausible, a desert-based theory of justice can and must be compatible with this form of egalitarianism. There is, however, a stronger form of brute luck egalitarianism, which, as I shall explain, is concerned with equalizing the advantages from brute luck—and not merely with neutralizing the differential effects thereof. Under idealized conditions in which agents have perfect information about the outcomes that their choices generate, even this stronger form of egalitarianism, I shall show, is compatible with pure desert theory. Under conditions of incomplete information, however, strong brute luck egalitarianism is incompatible with a pure desert theory that appeals, as I shall explain, to moral, rather than prudential, desert. (shrink)

Household debt has been widely discussed among social scientists, policy makers, and activists. Many have questioned the levels of debt households are required to take on, and have made various proposals for assisting households in debt. Yet theorists of distributive justice have left household debt underexamined. This article offers a normative examination of the distributive justice issues presented by proposals to relieve household debt or protect households from overindebtedness. I examine two goals at which debt relief proposals aim: remedying disadvantage (...) and stabilizing expectations. I then examine strategies for relieving existing debts such as debt abolition, forgiveness, bankruptcy, and mitigation, as well as strategies that aim to prevent future indebtedness, such as public provision or financing of costly goods and credit or interest rate regulations. (shrink)

Egalitarians must address two questions: i. What should there be an equality of, which concerns the currency of the ‘equalisandum’; and ii. How should this thing be allocated to achieve the so-called equal distribution? A plausible initial composite answer to these two questions is that resources should be allocated in accordance with choice, because this way the resulting distribution of the said equalisandum will ‘track responsibility’ — responsibility will be tracked in the sense that only we will be responsible for (...) the resources that are available to us, since our allocation of resources will be a consequence of our own choices. But the effects of actual choices should not be preserved until the prior effects of luck in constitution and circumstance are first eliminated. For instance, people can choose badly because their choice-making capacity was compromised due to a lack of intelligence (i.e. due to constitutional bad luck), or because only bad options were open to them (i.e. due to circumstantial bad luck), and under such conditions we are not responsible for our choices. So perhaps a better composite answer to our two questions (from the perspective of tracking responsibility) might be that resources should be allocated so as to reflect people’s choices, but only once those choices have been corrected for the distorting effects of constitutional and circumstantial luck, and on this account choice preservation and luck elimination are two complementary aims of the egalitarian ideal. Nevertheless, it is one thing to say that luck’s effects should be eliminated, but quite another to figure out just how much resource redistribution would be required to achieve this outcome, and so it was precisely for this purpose that in 1981 Ronald Dworkin developed the ingenuous hypothetical insurance market argumentative device (HIMAD), which he then used in conjunction with the talent slavery (TS) argument, to arrive at an estimate of the amount of redistribution that would be required to reduce the extent of luck’s effects. However recently Daniel Markovits has cast doubt over Dworkin’s estimates of the amount of redistribution that would be required, by pointing out flaws with his understanding of how the hypothetical insurance market would function. Nevertheless, Markovits patched it up and he used this patched-up version of Dworkin’s HIMAD together with his own version of the TS argument to reach his own conservative estimate of how much redistribution there ought to be in an egalitarian society. Notably though, on Markovits’ account once the HIMAD is patched-up and properly understood, the TS argument will also allegedly show that the two aims of egalitarianism are not necessarily complementary, but rather that they can actually compete with one another. According to his own ‘equal-agent’ egalitarian theory, the aim of choice preservation is more important than the aim of luck elimination, and so he alleges that when the latter aim comes into conflict with the former aim then the latter will need to be sacrificed to ensure that people are not subordinated to one another as agents. I believe that Markovits’ critique of Dworkin is spot on, but I also think that his own positive thesis — and hence his conclusion about how much redistribution there ought to be in an egalitarian society — is flawed. Hence, this paper will begin in Section I by explaining how Dworkin uses the HIMAD and his TS argument to estimate the amount of redistribution that there ought to be in an egalitarian society — this section will be largely expository in content. Markovits’ critique of Dworkin will then be outlined in Section II, as will be his own positive thesis. My critique of Markovits, and my own positive thesis, will then make a fleeting appearance in Section III. Finally, I will conclude by rejecting both Dworkin’s and Markovits’ estimates of the amount of redistribution that there ought to be in an egalitarian society, and by reaffirming the responsibility-tracking egalitarian claim that choice preservation and luck elimination are complementary and not competing egalitarian aims. (shrink)

This article presents a fairness principle for evaluating decision-making based on predictions: a decision rule is unfair when the individuals directly impacted by the decisions who are equal with respect to the features that justify inequalities in outcomes do not have the same statistical prospects of being benefited or harmed by them, irrespective of their socially salient morally arbitrary traits. The principle can be used to evaluate prediction-based decision-making from the point of view of a wide range of antecedently specified (...) substantive views about justice in outcome distributions. (shrink)

Relational egalitarians sometimes argue that a degree of distributive equality is necessary for social equality to obtain among members of society. In this paper, we consider how such arguments fare when extended to the intergenerational case. In particular, we examine whether relational reasons for distributive equality apply between non-overlapping generations. We claim that they do not. We begin by arguing that the most common reasons relational egalitarians offer in favour of distributive equality between contemporaries do not give us reasons to (...) object to distributive inequality between non-overlapping generations. This argument by itself however will not fully suffice to show that there are no relational reasons to care about intergenerational distributive equality, given the nature of relational equality and its requirements in the intergenerational case are likely to be qualitatively different than in the contemporary case. Therefore, we also make the positive argument that for the intergenerational case to satisfy the requirements demanded by the ideal of relational equality it suffices that future persons’ interests are meaningfully incorporated and protected in the decision-making of preceding generations, and there is no basis for a concern with distributive equality. While some have argued that the one-way and asymmetrical causal influence between non-overlapping generations means concerns of social equality are inapplicable in the intergenerational case, we argue that the ongoing nature of this influence makes concerns of social equality appropriate. If successful, the upshot of the argument is that it can be coherent to maintain a commitment to relational equality between non-overlapping generations, all while remaining agnostic about distributive equality between them. (shrink)

The equivalence principle between the gravitational motion and the inertial motion is false because a particle or body successively in two any contiguous points while in a gravitational frame they have different kinetic energy, instead they always have equal kinetic energy in an inertial frame.

Nozick argues, in “Anarchy, State, and Utopia”, correctly I think, that we can go from an equal distribution of wealth to an unequal one through just means. Nozick then asks: If people voluntarily move from a just distribution of wealth, D1, to a different distribution, D2, “isn’t D2 also just?” While Nozick thinks the new distribution of wealth, D2, is just, I think that it is at least possible to go from a just state of affairs to an un-just state (...) of affairs by just means. I then argue that any unequal distribution of wealth cannot maximize the good derived from wealth. Therefore, on the basis of plausible utilitarian ideas, any distribution of wealth that isn’t at least roughly equal is un-just, even if it was arrived at by just means from an equal and just distribution of wealth. (shrink)

The elderly face very challenging situations due to their mental and physical conditions. Like the other country in the world, Bangladesh Government has enacted laws to protect the elderly rights. However, the law does not seem to represent what the elderly actually needs. Therefore, 385 elderly people, aged between 60 and 90 years were surveyed to understand their expectations from family, society, and government. There were 57.1% men and 42.9% women. Most of the elderly (80%) were educated. Just over half (...) (53.5%) had ordinary mental and physical health, while a quarter (31.4%) had good status. More than half (53%) of the participants required 2000–5000 BDTK (Bangladeshi Taka) equivalent to $20-50 to cover monthly treatment expenditures. The majority (67.3%) felt government Old Age Allowance should be increased to BDT 5,000 ($50). Of 13.8% of individuals experienced harsh discourse from family because of the cost of therapy. However, 16.9% of people choose not to respond to this question. More than half (57.4%) of the respondents’ thought caregivers were insufficient. One-third felt that legislation should be changed to take care of parents (33.5%) and One-third felt that children should take care of more (33.5%). Some (3.6%) thought that children should act as they did in their childhood respectively. Almost half (44.2%) of respondents did not know that the elderly should receive a separate senior citizen card for preferential treatment, yet 51.9% thought this. Some (44.7%) felt the elderly should get priority in any queue and discounts in Bus/Uber/Rickshaw. Results also showed that expectation is more than the service provided. Further, a one-stop elderly care clinic is required to provide integrated care and support for the quality of life of the elderly. (shrink)

Distribution of responsibility is one of the main focus areas in discussions about climate change ethics. Most of these discussions deal with the distribution of responsibility for climate change mitigation at the international level. The aim of this paper is to investigate if and how these principles can be used to inform the search for a fair distribution of responsibility for climate change adaptation on the local level. We found that the most influential distribution principles on the international level were (...) in turn built on one or more of seven basic principles: (P1) equal shares, (P2) desert, (P3) beneficiary pays, (P4) ability, (P5) self-help, (P6) limited responsibility for the worst off, and (P7) status quo preservation. It was found that all the basic principles, but P1, P3, and P7, are to some extent translatable to local climate adaptation. Two major problems hamper their usefulness on the local level: (1) several categories of agents need to take on responsibility; and (2) emissions do not work as a base for all principles. P4, P5, and P6 are applicable to local adaptation without changes. P4 is of particular importance as it seems to solve the first problem. P2 is applicable only if the second problem is solved, which can be achieved by using risk of harm instead of emissions as the basis for desert. (shrink)

Recent philosophical accounts of discrimination face challenges in accommodating robust intuitions about the particular way in which it is wrongful—most prominently, the intuition that discriminatory actions intrinsically violate equality irrespective of their contingent consequences. The paper suggests that we understand the normative structure of discrimination in a way that is different from the one implicitly assumed by these accounts. It argues that core discriminatory wrongs—such as segregation in Apartheid South Africa—divide into two types, corresponding to violations of relational and distributive (...) equality; and that a pluralistic view of the internal structure of each type should be adopted. This normative structure serves to appropriately vindicate the mentioned intuitions; it also contributes to clarifying the normative underpinnings of legal concepts associated with discrimination (including the distinctions between direct and indirect, or ‘disparate treatment/impact’ discrimination, and intentional vs. unintentional discrimination), and developing a more productive public discourse around allegations of discrimination. (shrink)

We discuss two leading theories of distributive justice: egalitarianism and prioritarianism. We argue that while each has particular merits and shortcomings, egalitarian views more fully satisfy a key requirement of distributive justice: respect for both the unity of the individual and the separateness of persons.

Different understanding on Aristotelian distributive justice results in two main factions: holism and egalitarianism. Dennis McKerlie, one of the representatives of holism, criticized Martha Nussbaum's interpretation as an egalitarian. McKerlie argued that Nussbaum did not attach enough importance to the Proportional equality and Aristotelian Common good, as well as a deviation in the understanding of the concept of distribution. The defense of egalitarianism is that Aristotle's emphasis on the rational equality of citizens and the ontological presupposition of primal equality show (...) Aristotelian egalitarian tendencies. (shrink)

We present a minimal pragmatic restriction on the interpretation of the weights in the “Equal Weight View” regarding peer disagreement and show that the view cannot respect it. Based on this result we argue against the view. The restriction is the following one: if an agent, $$\hbox {i}$$ i, assigns an equal or higher weight to another agent, $$\hbox {j}$$ j,, he must be willing—in exchange for a positive and certain payment—to accept an offer to let a completely rational and (...) sympathetic $$\hbox {j}$$ j choose for him whether to accept a bet with positive expected utility. If $$\hbox {i}$$ i assigns a lower weight to $$\hbox {j}$$ j than to himself, he must not be willing to pay any positive price for letting $$\hbox {j}$$ j choose for him. Respecting the constraint entails, we show, that the impact of disagreement on one’s degree of belief is not independent of what the disagreement is discovered to be. (shrink)

This thesis argues that a particular version of equal opportunity for welfare is the best way of meeting the joint demands of three liberal egalitarian ideals: distributional equality, responsibility, and respect for individuals’ differing reasonable judgements of their own good. It also examines which social choice rules best represent these demands. Finally, it defends the view that achieving equal opportunity for welfare should not only be a goal of formal public institutions, but that just citizens should also sometimes be guided (...) by it in their everyday life. The version of equal opportunity for welfare it defends differs from some well-known contemporary versions in the following ways. First, it rejects a definition of welfare as the degree of satisfaction of a person’s preferences, because, it argues, this conception of welfare cannot adequately deal with preference change. Instead, it suggests that we should adopt a conception of welfare based on a list of goods and conditions that are recognised as valuable from the perspective of a variety of different conceptions of the good. Second, it argues that individuals’ prima facie claim to an equally valuable share of the world’s resources—a claim which is based on their equal moral worth—is limited to situations in which giving one person a more valuable share means that someone else ends up with a less valuable share. It also argues that in situations where we can improve at least one person’s situation without worsening anyone else’s, we generally do not fail to respect each person’s equal moral worth by doing so, even if this leads to inequalities. Third, it defends a distinct view of responsibility, which justifies social arrangements that give people certain options with reference to the value that individuals can achieve (but don’t necessarily achieve) through their choices from these options. (shrink)

The paper compares three accounts of distributive justice in health (and more specifically healthcare). I discuss two egalitarian accounts—Daniels's fair equality of opportunity for health and Segall's luck-egalitarian equity in health—and contrast them with a sufficientarian account based on sufficiency of capabilities. The discussion highlights some important theoretical differences and similarities among the three accounts. The focus, however, is on the practical implications of each account regarding four hypothetical cases (synthesized growth hormone for short children, non-therapeutic abortion, forms of compensation (...) for paraplegics, and reconstructive breast surgery versus plastic surgery). My aim is to show that by replacing egalitarian concerns with sufficiency, and by focusing on capabilities (versus opportunities), it is possible to provide a more plausible account of justice in healthcare. (shrink)

According to all-luck egalitarianism, the differential distributive effects of both brute luck, which defines the outcome of risks which are not deliberately taken, and option luck, which defines the outcome of deliberate gambles, are unjust. Exactly how to correct the effects of option luck is, however, a complex issue. This article argues that (a) option luck should be neutralized not just by correcting luck among gamblers, but among the community as a whole, because it would be unfair for gamblers as (...) a group to be disadvantaged relative to non-gamblers by bad option luck; (b) individuals should receive the warranted expected results of their gambles, except insofar as individuals blamelessly lacked the ability to ascertain which expectations were warranted; and (c) where societal resources are insufficient to deliver expected results to gamblers, gamblers should receive a lesser distributive share which is in proportion to the expected results. Where all-luck egalitarianism is understood in this way, it allows risk-takers to impose externalities on non-risk-takers, which seems counterintuitive. This may, however, be an advantage as it provides a luck egalitarian rationale for assisting ‘negligent victims’. (shrink)

Risky prospects represent policies that impose different types of risks on multiple people. I present an example from food safety. A utilitarian following Harsanyi's Aggregation Theorem ranks such prospects according to their mean expected utility or the expectation of the social utility. Such a ranking is not sensitive to any of four types of distributional concerns. I develop a model that lets the policy analyst rank prospects relative to the distributional concerns that she considers fitting in the context at (...) hand. I name this model ‘the Distribution View’ posing an alternative to Parfit's Priority View for risky prospects. (shrink)

Even where willingness-to-pay as a measure of welfare impact is adjusted for diminishing marginal utility, welfare economics is shown to favour policies that add to the life expectancy or that enhance the quality of life of persons who are already better-off. I propose an alternative, Equal Respect methodology, under an axiomatic claim that at the point of decision the prospective life years of all individuals are of equal intrinsic social value. This justifies equal valuation of risk mitigation across all persons; (...) similarly, all appraised impacts should be scaled to accord equal respect to difficult but no-less-valuable lives. (shrink)