In this paper we deal with the extension of Nash bargaining theory to nonconvex problems. By focussing on the Social Welfare Ordering associated with a bargaining solution, we characterize the symmetric Nash Bargaining Solution (NBS). Moreover, we obtain a unified method of proof of recent characterization results for the asymmetric single-valued NBS and the symmetric multivalued NBS, as well as their extensions to different domains.

Sufficientarianism is a prominent approach to distributive justice in political philosophy and in policy analyses. However, it is virtually absent from the formal normative economics literature. We analyze sufficientarianism axiomatically in the context of the allocation of 0–1 normalized well-being in society. We present three characterizations of the core sufficientarian criterion, which counts the number of agents who attain a “good enough” level of well-being. The main characterization captures the “hybrid” nature of the criterion, which embodies at the same time (...) a threshold around which the worst off in society is prioritized, and an indifference to equality in other regions. The other two characterizations relate sufficientarianism, respectively, to a liberal principle of noninterference and to a classic neutrality property. (shrink)

We propose a new principle of 'non-interference' applied to social welfare orderings. The principle, together with two other standard requirements, implies a strong egalitarian conclusion: the ordering must lexicographically maximize the welfare of the worst off.

We model opportunities in society as ‘chances of success’, that is as they are commonly described by practitioners. We show that a classical liberal principle of justice together with a limited principle of social rationality imply that the social objective should be to maximise the chance that everybody in society succeeds. Technically, this means using a ‘Nash’ welfare criterion. A particular consequence is that the failure of even only one individual must be considered maximally detrimental. We also study a refinement (...) of this criterion and its extension to problems of intergenerational justice. (shrink)

We study a principle of ‘Non-Interference’ in social welfare judgements. Non-Interference captures aspects of liberal approaches (particularly a Millian approach) to social decision making. In its full generality, Non-Interference produces an impossibility result: together with Weak Pareto Optimality, it implies that a social welfare ordering must be dictatorial. However, interesting restricted versions of Non-Interference are compatible with standard social welfare orderings.

We analyse the liberal ethics of noninterference in social choice. A liberal principle, capturing noninterfering views of society and inspired by John Stuart Mill's conception of liberty, is examined. The principle expresses the idea that society should not penalise individuals after changes in their situation that do not affect others. An impossibility for liberal approaches is highlighted: every social decision rule that satisfies unanimity and a general principle of noninterference must be dictatorial. This raises some important issues for liberal approaches (...) in social choice and political philosophy. (shrink)

This paper provides an ethical intepretation of the Nash choice rule. In a setting in which (cardinal) utilities are interpersonally comparable, this procedure is characterised by an impartiality requirement and by the assumption that choices are not responsive to the agents' relative ability to convert resources into utility.

In this paper, we examine the problems facing a policy maker who observes inconsistent choices made by agents who are boundedly rational. We contrast a model-less and a model-based approach to welfare economics. We make the case for the model-based approach and examine its advantages as well as some problematic issues associated with it.

We study preferences over lotteries which do not necessarily satisfy completeness. We provide a characterization which generalizes Expected Utility theory. We show in particular that various sure-thing axioms are needed to guaranteee the representability in terms of utility intervals rather than numbers, and to provide a linear interval order representation which is very much in the spirit of Expected Utility theory.

We formulate and investigate experimentally a model of how individuals choose between time sequences of monetary outcomes. The model assumes that a decision maker uses, sequentially, two criteria to screen options. Each criterion only permits a decision between some pairs of options, while the other options are incomparable according to that criterion. When the first criterion is not decisive, the decision maker resorts to the second criterion to select an alternative. We find that: (1) traditional economic models based on discounting (...) alone cannot explain a significant (almost 30%) proportion of the data no matter how much variability in the discount functions is allowed; (2) our model, despite considering only a specific (exponential) form of discounting, can explain the data much better solely thanks to the use of the secondary criterion; (3) our model explains certain specific patterns in the choices of the “irrational” people. We reject the hypothesis that anomalous behavior is due simply to random “mistakes” around the basic predictions of discounting theories: deviations are not random and there are clear systematic patterns of association between “irrational” choices. (shrink)

Why are mistaken beliefs about Covid-19 so prevalent? Political identity, education and other demographic variables explain only a part of individual differences in the susceptibility to Covid-19 misinformation. This paper focuses on another explanation: epistemic vice. Epistemic vices are character traits that interfere with acquiring, maintaining, and transmitting knowledge. If the basic assumption of vice epistemology is right, then people with epistemic vices such as indifference to the truth or rigidity in their belief structures will tend to be more susceptible (...) to believing Covid-19 misinformation. We carried out an observational study (US sample, n = 998) in which we measured the level of epistemic vice of participants using a novel Epistemic Vice Scale. We also asked participants questions eliciting the extent to which they subscribe to myths and misinformation about Covid-19. We find overwhelming evidence to the effect that epistemic vice is associated with susceptibility to Covid-19 misinformation. In fact, the association turns out to be stronger than with political identity, educational attainment, scores on the Cognitive Reflection Test, personality, dogmatism, and need for closure. We conclude that this offers evidence in favor of the empirical presuppositions of vice epistemology. (shrink)

We prove that the category of Nachbin’s compact ordered spaces and order-preserving continuous maps between them is dually equivalent to a variety of algebras, with operations of at most countable arity. Furthermore, we observe that the countable bound on the arity is the best possible: the category of compact ordered spaces is not dually equivalent to any variety of finitary algebras. Indeed, the following stronger results hold: the category of compact ordered spaces is not dually equivalent to any finitely accessible (...) category, any first-order definable class of structures, and any class of finitary algebras closed under products and subalgebras. An explicit equational axiomatisation of the dual of the category of compact ordered spaces is obtained; in fact, we provide a finite one, meaning that our description uses only finitely many function symbols and finitely many equational axioms. In preparation for the latter result, we establish a generalisation of a celebrated theorem by Mundici: our result—whose proof is independent of Mundici’s theorem—asserts that the category of unital commutative distributive lattice-ordered monoids is equivalent to the category of what we call MV-monoidal algebras.Abstract taken directly from the thesis.E-mail: marco[email protected]: https://air.unimi.it/retrieve/handle/2434/812809/1698986/phd_unimi_R11882.pdf. (shrink)

Karl R. Popper e Raymond Aron foram dois dos mais destacados pensadores do século XX, notadamente a partir da segunda guerra mundial. Sendo o primeiro um destacado epistemólogo e filósofo político e o segundo um filósofo social e político, entre suas mais diversas obras encontramos um denominador comum, a crítica epistemológica das ciências humanas. O presente trabalho tem por objetivo investigar os possíveis pontos de contato entre os dois filósofos, bem como suas divergências. Como metodologia de estudo, nos centraremos nos (...) textos produzidos pelos autores que tenham como tema principal a epistemologia das ciências humanas. Notadamente, encontraremos em ambos uma crítica ao historicismo como fundamento das humanidades. Palavras-chave: Karl Popper, Raymond Aron, Historicismo. (shrink)

AI-based technologies are increasingly pervasive in a number of contexts. Our affective and emotional life makes no exception. In this article, we analyze one way in which AI-based technologies can affect them. In particular, our investigation will focus on affective artificial agents, namely AI-powered software or robotic agents designed to interact with us in affectively salient ways. We build upon the existing literature on affective artifacts with the aim of providing an original analysis of affective artificial agents and their distinctive (...) features. We argue that, unlike comparatively low-tech affective artifacts, affective artificial agents display a specific form of agency, which prevents them from being perceived by their users as extensions of their selves. In addition to this, we claim that their functioning crucially depends on the simulation of human-like emotion-driven behavior and requires a distinctive form of transparency—we call it emotional transparency—that might give rise to ethical and normative tensions. (shrink)

O ficcionalismo, geralmente classificado como um tipo de nominalismo, apresenta como perspectiva precípua a tese de que os entes matemáticos são ficções. Para o ficcionalista, o discurso matemático é desprovido de conteúdo. Hartry Field, que é o principal defensor dessa concepção ontológica da matemática, contesta, em Science Without Numbers, a utilização de entes matemáticos na redação de teorias da física, alegando que a defesa mais plausível do realismo ontológico matemático é o argumento da indispensabilidade de Quine-Putnam. O ficcionalismo defendido por (...) Field nos permite, de acordo com Shapiro, classificá-lo no grupo filosofia-primeiro, ou seja, entre os filósofos que defendem que a filosofia deve ser responsável por legislar a respeito da prática matemática. Dessa forma, podemos considerar Field um revisionista epistemológico. Como se sabe, a dependência da ciência moderna em relação ao discurso matemático coloca a tese ficcionalista em xeque. Ainda assim, se partirmos dos pressupostos filosóficos da vertente formalista da filosofia da matemática, que concebe a matemática como constituída de um conjunto de regras sem significado que podem ser manipuladas de maneira puramente sintática, poderemos traçar importantes analogias entre matemática e ficção, tal como também entre metamatemática e metaficção. Para um formalista simpático à tese ficcionalista, o estatuto ontológico da matemática é semelhante ao das regras de um jogo de xadrez. (shrink)

A view that emancipates free will by means of quantum indeterminism is frequently rejected based on arguments pointing out its incompatibility with what we know about quantum physics. However, if one carefully examines what classical physical causal determinism and quantum indeterminism are according to physics, it becomes clear what they really imply–and, especially, what they do not imply–for agent-causation theories. Here, we will make necessary conceptual clarifications on some aspects of physical determinism and indeterminism, review some of the major objections (...) against libertarian conjectures, and show that there is no conceptual incompatibility preventing us from taking a ‘quantum-libertarian’ approach to the problem of free will. In particular, we will illustrate the possible role of self-causation (causa sui) as a potential solution to otherwise apparently incompatible or even paradoxical statements concerning free will and quantum indeterminism. (shrink)

According to the extended cognition thesis, an agent’s cognitive system can sometimes include extracerebral components amongst its physical constituents. Here, we show that such a view of cognition has an unjustifiably anthropocentric focus, for it tends to depict cognitive extensions as a human-only affair. In contrast, we will argue that if human cognition extends, then the cognition of many non-human animals extends too, for many non-human animals rely on the same cognition-extending strategies humans rely on. To substantiate this claim, we (...) will proceed as follows. First (Sect. 1), we will introduce the extended cognition thesis, exposing its anthropocentric bias. Then, we will show that humans and many non-human animals rely on the same cognition-extending strategies. To do so, we will discuss a variety of case studies, including “intrabodily” cognitive extensions such as the spinal cord (Sect. 2), the widespread reliance on epistemic actions to solve cognitive tasks (Sect. 3) and cases of animal cognitive offloading (Sect. 4). We’ll then allay some worries our claim might raise (Sect. 5) to then conclude the paper (Sect. 6). (shrink)

The Routledge International Handbook of Neuroaesthetics is an authoritative reference work that provides the reader with a wide-ranging introduction to this exciting new scientific discipline. The book brings together leading international academics to offer a well-balanced overview of this burgeoning field while addressing two questions central to the field; how the brain computes aesthetic appreciation for sensory objects, and how is art created and experienced.

The abrupt beginning of the Philebus refers to the abrupt interruption of the dialogue with Callicles in the Gorgias. The reuse of the phrase αὐτὸς γνώσῃ (Phlb. 12a9 = Gorg. 505c9), unique in Plato, is an evident sign of the will to connect the two texts and contexts. Both of them deal with the problem of the interruption of the philosophical dialogue. The absolute lack of contextualization and the ‘open’ conclusion in the Philebus are consistent with this framework. The continuity (...) with the Gorgias is also a fundamental reason why Socrates returns as protagonist in a late dialogue. It also allows us to put forward a hypothesis on the identity of Philebus, an emblematic character like Callicles. (shrink)

Gorgias, the teacher of Isocrates, is rarely mentioned in Isocrates’ works and never in a flattering way. He is also presented, among other masters and poets, on Isocrates’ grave in a way that appears to be consistent with his pupil’s thought. Thus, the author of the iconographic plan of the grave may have been either Isocrates himself or someone who suffi­ciently knew his works and properly understood his tempestuous rela­tionship with his master.

In this article, I address a controversial aspect of Rawls’s treatment of the question of justice between generations: how the parties in the original position could be motivated to select Rawls’s preferred principle of intergenerational savings, which he dubs the just savings principle. I focus on the explanation found in his later work, where he proposes that the correct savings principle is the principle that any generation would have wanted preceding generations to have followed. By expanding upon this explanation, I (...) respond to the objection that this explanation disregards the perspective of the first generation. I demonstrate that this objection ceases to be a concern when a proper account of the parties’ reasoning is developed. What is notable about the explanation I defend is that it relies on the parties adopting maximax – not maximin – as a rule for rational decision making. Having established this intermediary conclusion, I depart with Rawls and consider what savings principle the parties would choose if given more options. Ultimately, I argue that the parties would select a principle that Rawls would have undoubtedly rejected if presented to him at face value. This is because the principle of savings I argue would be selected requires continual economic growth over generations to increase upwards indefinitely – a conclusion Rawls is explicitly trying to avoid in his theory of justice. (shrink)

With the present paper I maintain that the group field theory (GFT) approach to quantum gravity can help us clarify and distinguish the problems of spacetime emergence from the questions about the nature of the quanta of space. I will show that the mechanism of phase transition suggests a form of indifference between scales (or phases) and that such an indifference allows us to black-box questions about the nature of the ontology of the fundamental levels of the theory. I consider (...) the GFT approach to quantum gravity which derives spacetime as an emergent property from abstract non-geometrical tetrahedra through a processes of phase transition. Because the physical interpretation of the tetrahedra is problematic in view of their (non)-spatiotemporal nature, I will apply the considerations about phase transitions to GFT and conclude that the fundamental ontology of the theory and the mechanism of spacetime emergence can and should be treated separately. (shrink)

We are grateful to the commentators for their close reading of our article 1 and for their challenging and interesting responses to it. We do not have space to respond to all of the objections that they raise, so in this reply, we address only a selection of them. Some commentaries question the usefulness of developing an account of the sort we provide, 2 or of revising the Standard Account (SA) in doing so. 3–5 Our schema is intended to provide (...) a framework for developing a full account of invasiveness that captures existing uses of the term. On the assumption that the term is used somewhat reliably and consistently–and we are inclined to agree with some of our commentators 3 4 that people are not terribly confused or mistaken in how they employ the term–an account that captures these... (shrink)

The aim I am pursuing here is to describe some general aspects of mathematical proofs. In my view, a mathematical proof is a warrant to assert a non-tautological statement which claims that certain objects (possibly a certain object) enjoy a certain property. Because it is proved, such a statement is a mathematical theorem. In my view, in order to understand the nature of a mathematical proof it is necessary to understand the nature of mathematical objects. If we understand them as (...) external entities whose 'existence' is independent of us and if we think that their enjoying certain properties is a fact, then we should argue that a theorem is a statement that claims that this fact occurs. If we also maintain that a mathematical proof is internal to a mathematical theory, then it becomes very difficult indeed to explain how a proof can be a warrant for such a statement. This is the essential content of a dilemma set forth by P. Benacerraf (cf. Benacerraf 1973). Such a dilemma, however, is dissolved if we understand mathematical objects as internal constructions of mathematical theories and think that they enjoy certain properties just because a mathematical theorem claims that they enjoy them. (shrink)

As neuroscience progresses, we will not only gain a better understanding of how our brains work, but also a better understanding of how to modify them, and as a result, our mental states. An important question we are faced with is whether the state could be justified in implementing such methods on criminal offenders, without their consent, for the purposes of rehabilitation and reduction of recidivism; a practice that is already legal in some jurisdictions. By focusing on a prominent type (...) of view of free action, which I call bypassing views, this paper evaluates how such interventions may negatively impact the freedom of their subjects. The paper concludes that there will be a tension between the goals of rehabilitation and reduction of recidivism, on the one hand, and the negative impact such interventions may have on free action, on the other. Other things equal, the better that a particular intervention is at achieving the former, the more likely it is to result in the latter. (shrink)

This book fills a major gap in the ever-increasing secondary literature on Hannah Arendt's political thought by providing a dedicated and coherent treatment of the many, various and interesting things which Arendt had to say about law. Often obscured by more pressing or more controversial aspects of her work, Arendt nonetheless had interesting insights into Greek and Roman concepts of law, human rights, constitutional design, legislation, sovereignty, international tribunals, judicial review and much more. This book retrieves these aspects of her (...) legal philosophy for the attention of both Arendt scholars and lawyers alike. The book brings together lawyers as well as Arendt scholars drawn from a range of disciplines (philosophy, political science, international relations), who have engaged in an internal debate the dynamism of which is captured in print. Following the editors' introduction, the book is split into four Parts: Part I explores the concept of law in Arendt's thought; Part II explores legal aspects of Arendt's constitutional thought: first locating Arendt in the wider tradition of republican constitutionalism, before turning attention to the role of courts and the role of parliament in her constitutional design. In Part III Arendt's thought on international law is explored from a variety of perspectives, covering international institutions and international criminal law, as well as the theoretical foundations of international law. Part IV debates the foundations, content and meaning of Arendt's famous and influential claim that the 'right to have rights' is the one true human right. (shrink)