Amartya Sen has recently urged that political philosophers pay attention to social choice theory in their deliberations about justice. However, despite its merits, social choice theory is not standardly part of undergraduate political philosophy. One difficulty is that it involves symbolic logic and difficult concepts. We can reduce this challenge by making the material no harder than it needs to be. I consider the standard proof of Arrow’s Theorem, a seminal result. Kenneth Arrow does not explicate the role of the (...) irrelevance of independent alternatives. Sen and Wulf Gaertner have offered clarifications, but I shall elucidate the full role. (shrink)

It is known that a number of inference principles can be used to trivialise the axioms of naïve comprehension - the axioms underlying the naïve theory of sets. In this paper we systematise and extend these known results, to provide a number of general classes of axioms responsible for trivialising naïve comprehension.

SummaryThis article offers a novel and comprehensive account of Walter Bagehot's political thought. It ties together an interpretation of Bagehot's liberal commitment to norms of discussion and deliberation, with an analysis of Bagehot's extensive arguments about the institutions of representative government. We show how Bagehot's opposition to American-style presidentialism, to parliamentary democracy, and to proportional representation were profoundly shaped by his conceptions of government by discussion, and the rule of public opinion. Bagehot's criticisms of English parliamentarianism, both of its pre-1832 (...) and post-1832 varieties were also motivated by those principles, as was his own proposal for parliamentary reform. By examining the whole range of Bagehot's writings on representative government and by connecting his institutional recommendations to his liberal principles, we are also able to better clarify Bagehot's position in Victorian political thought. The article concludes with a discussion of the debate leading up to the Second Reform Act, in which we elucidate Bagehot's disagreements with other prominent exponents of liberalism including John Stuart Mill, the “university liberals,” and Robert Lowe. (shrink)

This paper explores the ways in which resource limitations influence the nature of perceptual and cognitive processes. A framework is developed that allows early visual processing to be analyzed in terms of these limitations. In this approach, there is no one ``best'' system for any visual process. Rather, a spectrum of systems exists, differing in the particular trade-offs made between performance and resource requirements.

Wulf Gaertner provides a comprehensive account of an important and complex issue within social choice theory: how to establish a social welfare function while restricting the spectrum of individual preferences in a sensible way. Gaertner's starting point is K. J. Arrow's famous 'Impossibility Theorem', which showed that no welfare function could exist if an unrestricted domain of preferences is to be satisfied together with some other appealing conditions. A number of leading economists have tried to provide avenues out (...) of this 'impossibility' by restricting the variety of preferences: here, Gaertner provides a clear and detailed account, using standardized mathematical notation, of well over forty theorems associated with domain conditions. Domain Conditions in Social Choice Theory will be an essential addition to the library of social choice theory for scholars and their advanced graduate students. (shrink)

This introductory text explores the theory of social choice. This text is an important starting point for students grappling with the complexities of social choice theory. Rigorous yet accessible, with new chapter exercises, it avoids the use of technical language and provides an up-to-date discussion of this rapidly developing field.

This introductory text explores the theory of social choice. Written as a primer suitable for advanced undergraduates and graduates, this text will act as an important starting point for students grappling with the complexities of social choice theory. Rigorous yet accessible, this primer avoids the use of technical language and provides an up-to-date discussion of this rapidly developing field. This is the first in a series of texts published in association with the LSE.

Something has been going wrong on many college campuses in the last few years. Speakers are shouted down. Students and professors say they are walking on eggshells and are afraid to speak honestly. Rates of anxiety, depression, and suicide are rising--on campus as well as nationally. How did this happen? First Amendment expert Greg Lukianoff and social psychologist Jonathan Haidt show how the new problems on campus have their origins in three terrible ideas that have become increasingly woven into (...) American childhood and education: What doesn't kill you makes you weaker; always trust your feelings; and life is a battle between good people and evil people. These three Great Untruths contradict basic psychological principles about well-being and ancient wisdom from many cultures. Embracing these untruths--and the resulting culture of safetyism--interferes with young people's social, emotional, and intellectual development. It makes it harder for them to become autonomous adults who are able to navigate the bumpy road of life. Lukianoff and Haidt investigate the many social trends that have intersected to promote the spread of these untruths. They explore changes in childhood such as the rise of fearful parenting, the decline of unsupervised, child-directed play, and the new world of social media that has engulfed teenagers in the last decade. They examine changes on campus, including the corporatization of universities and the emergence of new ideas about identity and justice. They situate the conflicts on campus within the context of America's rapidly rising political polarization and dysfunction. This is a book for anyone who is confused by what is happening on college campuses today, or has children, or is concerned about the growing inability of Americans to live, work, and cooperate across party lines. (shrink)

This book introduces an important group of logics that have come to be known under the umbrella term 'susbstructural'. Substructural logics have independently led to significant developments in philosophy, computing and linguistics. _An Introduction to Substrucural Logics_ is the first book to systematically survey the new results and the significant impact that this class of logics has had on a wide range of fields.The following topics are covered: * Proof Theory * Propositional Structures * Frames * Decidability * Coda Both (...) students and professors of philosophy, computing, linguistics, and mathematics will find this to be an important addition to their reading. (shrink)

Kuhn claimed that several algorithms can be defended to select the best theory based on epistemic values such as simplicity, accuracy, and fruitfulness. In a recent paper, Okasha :83–115, 2011) argued that no theory choice algorithm exists which satisfies a set of intuitively compelling conditions that Arrow had proposed for a consistent aggregation of individual preference orderings. In this paper, we put forward a solution to avoid this impossibility result. Based on previous work by Gaertner and Xu, we suggest (...) to view the theory choice problem in a cardinal context and to use a general scoring function defined over a set of qualitative verdicts for every epistemic value. This aggregation method yields a complete and transitive ranking and the rule satisfies all Arrovian conditions appropriately reformulated within a cardinal setting. We also propose methods that capture the aggregation across different scientists. (shrink)

This paper studies a ranking rule of the following type axiomatically: each voter places k candidates into n categories with ranks from n to 1 attached to these categories, the candidate(s) with the highest aggregate score is (are) the winner(s). We show that it is characterized by a monotonicity condition and a multi-stage cancellation property.

This paper concerns a key point of decision in Donald Davidson's early work in philosophy of language — a fateful decision that set him and the discourse in the area on the path of truth-theoretic semantics. The decision of moment is the one Davidson makes when, in the face of a certain barrier, he gives up on the idea of constructing an explicit meaning theory that would parallel Tarski's recursive way with truth theory. For Davidson there was little choice: he (...) tells us he does not see how to deal with the difficulty except in the radical way he proposes. But there is a way to give such a meaning theory — a meaning theory proper which, using classical logic only, meets a meaning-theoretic analogue of Convention T, satisfies Davidson’s three key desiderata for a theory of meaning, reflects linguistic competence, and avoids quantifying over meanings. The meaning theory sketched here uses Tarskian strategies, as Davidson proposed, but differs from Davidson's approach in not going by way of a truth theory for the target language. (shrink)

In an attempt to address the theoretical gap between linguistics and philosophy, a group of semanticists, calling itself the Generic Group, has worked to develop a common view of genericity. Their research has resulted in this book, which consists of a substantive introduction and eleven original articles on important aspects of the interpretation of generic expressions. The introduction provides a clear overview of the issues and synthesizes the major analytical approaches to them. Taken together, the papers that follow reflect the (...) current state of the art in the semantics of generics, and afford insight into various generic phenomena. (shrink)

An advanced-level logic textbook that presents proof construction on equal footing with model building. Potentially relevant to students of mathematics and computer science as well.

I will present evidence that nature does not optimize in the sense of Fermat's principle of least time, contrary to what Schoemaker's unintentionally ambiguous exposition might suggest. First, Huygens' principle, an alternative nonteleological account of Snell's law, is outlined. Second, I confront Fermat's principle with a substantive conceptual problem.

In this paper I urge friends of truth-value gaps and truth-value gluts – proponents of paracomplete and paraconsistent logics – to consider theories not merely as sets of sentences, but as pairs of sets of sentences, or what I call ‘bitheories,’ which keep track not only of what holds according to the theory, but also what fails to hold according to the theory. I explain the connection between bitheories, sequents, and the speech acts of assertion and denial. I illustrate the (...) usefulness of bitheories by showing how they make available a technique for characterising different theories while abstracting away from logical vocabulary such as connectives or quanti- fiers, thereby making theoretical commitments independent of the choice of this or that particular non-classical logic. (shrink)

This article underlines and draws attention to critical insights Esposito makes regarding the prospects of rethinking community in a globalized world. Alongside Agamben and Nancy, Esposito challenges the property prejudice found in mainstream models of community. In identity politics, collective identity is converted into a form of communal property. Borders, sovereign territories, and exclusive rights are fiercely defended in the name of communal property. Esposito responds to this problem by developing what I call a “deontological communal contract” where being and (...) ethics are prioritized over having and economics. I examine this new perspective on community in relation to mainstream models found in contemporary and classical social theory. (shrink)

This article uses Lancaster's characteristics approach to rank sets of alternative combinations of commodity characteristics. It is assumed that there exists a reference point or reference level from which the individual evaluates set expansions in appropriate directions. We provide an axiomatic characterization for such a case.

Collagen fibrils are some of the most‐abundant and important extracellular structures in our bodies, yet we are unsure of their shape and size. This is largely due to an inherent difficulty in isolating them from their surrounding tissues. Echinoderms have collagenous tissues that are similar to ours in many ways, yet they can be manipulated to easily relinquish their collagen fibrils, providing an excellent opportunity to study native fibrillar structure. In the early 1990s, they were found to defy the commonly (...) accepted fibrillar model of the time in that they were much shorter, they were shaped like double‐ended spindles, and their centers exhibited a reversal in molecular polarity. Realization of these features helped to reform the questions that were being asked about vertebrate fibrils, shifting the focus toward shape and size. Since then, researchers working with both groups (echinoderms and vertebrates) have worked together to find the structure of native fibrils. This information will be fundamental in understanding what holds collagenous tissues together at the fibrillar level, and could have important implications for people with Ehlers‐Danlos syndrome. BioEssays 29:645–653, 2007. © 2007 Wiley Periodicals, Inc. (shrink)

How have popular American films influenced film criticism and intellectual thinking. This book shows that critics, beginning in the 1940s, turned to the movies as raw material to be moulded into a more radical modernism.

I am grateful to Catharine Abell and Jonathan Gilmore for their comments and for the opportunity to think again about some important questions. Before I respond.

Should organ transplants be given to patients who have waited the longest, or need it most urgently, or those whose survival prospects are the best? The rationing of health care is universal and inevitable, taking place in poor and affluent countries, in publicly funded and private health care systems. Someone must budget for as well as dispense health care whilst aging populations severely stretch the availability of resources. The Ethics of Health Care Rationing is a clear and much-needed introduction to (...) this increasingly important topic, considering and assessing the major ethical problems and dilemmas about the allocation, scarcity and rationing of health care. Beginning with a helpful overview of why rationing is an ethical problem, the authors examine the following key topics: What is the value of health? How can it be measured? What does it mean that a treatment is "good value for money"? What sort of distributive principles - utilitarian, egalitarian or prioritarian - should we rely on when thinking about health care rationing? Does rationing health care unfairly discriminate against the elderly and people with disabilities? Should patients be held responsible for their health? Why does the debate on responsibility for health lead to issues about socioeconomic status and social inequality? Throughout the book, examples from the US, UK and other countries are used to illustrate the ethical issues at stake. Additional features such as chapter summaries, annotated further reading and discussion questions make this an ideal starting point for students new to the subject, not only in philosophy but also in closely related fields such as politics, health economics, public health, medicine, nursing and social work. (shrink)

The two-dimensional modal logic of Davies and Humberstone [3] is an important aid to our understanding the relationship between actuality, necessity and a priori knowability. I show how a cut-free hypersequent calculus for 2D modal logic not only captures the logic precisely, but may be used to address issues in the epistemology and metaphysics of our modal concepts. I will explain how the use of our concepts motivates the inference rules of the sequent calculus, and then show that the completeness (...) of the calculus for Davies–Humberstone models explains why those concepts have the structure described by those models. The result is yet another application of the completeness theorem. (shrink)

This Element is an introduction to recent work proofs and models in philosophical logic, with a focus on the semantic paradoxes the sorites paradox. It introduces and motivates different proof systems and different kinds of models for a range of logics, including classical logic, intuitionistic logic, a range of three-valued and four-valued logics, and substructural logics. It also compares and contrasts the different approaches to substructural treatments of the paradox, showing how the structural rules of contraction, cut and identity feature (...) in paradoxical derivations. It then introduces model theoretic treatments of the paradoxes, including a simple fixed-point model construction which generates three-valued models for theories of truth, which can provide models for a range of different non-classical logics. The Element closes with a discussion of the relationship between proofs and models, arguing that both have their place in the philosophers' and logicians' toolkits. (shrink)

In barely the space of one generation, Athens was transformed from a conventional city-state into something completely new--a region-state on a scale previously unthinkable. This book sets out to answer a seemingly simple question: How and when did the Athenian state attain the anomalous size that gave it such influence in Greek politics and culture in the classical period? Many scholars argue that Athens's incorporation of Attica was a gradual development, largely completed some two hundred years before the classical era. (...) Anderson, however, suggests that it is not until the late sixth century that we see the first systematic attempts by the Athenian polis to integrate all of Attica. Anderson first takes issue with the prevailing view of Cleisthenes' landmark political reforms of 508-7 b.c., arguing that they were animated by a more comprehensive vision of regional political community in Attica. The Athenians' strengthened the state by establishing institutional mechanisms that would allow inhabitants of the Attic periphery to participate as never before in the life of the center. The creation of a suitable physical setting for the new order was accompanied by religious, military, and symbolic innovations. Regional participation in Athenian affairs was stimulated by encouraging the Attic populace to imagine themselves, for the first time ever, as members of a single, like-minded, self-governing political community. Greg Anderson is Assistant Professor of Classics and History, University of Illinois at Chicago. (shrink)

Some empirical findings seem to show that people value health benefits differently depending on the age of the beneficiary. Health economists and philosophers have offered justifications for these preferences on grounds of both efficiency and equity. In this paper, I examine the most prominent examples of both sorts of justification: the defence of age-weighting in the WHO's global burden of disease studies and the fair innings argument. I argue that neither sort of justification has been worked out in satisfactory form: (...) age should not be taken into account in the framework of the burden of disease measure, and on the most promising formulations of the fair innings argument, it turns out to be merely an indicator of some other factor. I conclude by describing the role of age in theories of justice of healthcare resource allocation. (shrink)

Our topic is the notion of logical consequence: the link between premises and conclusions, the glue that holds together deductively valid argument. How can we understand this relation between premises and conclusions? It seems that any account begs questions. Painting with very broad brushtrokes, we can sketch the landscape of disagreement like this: “Realists” prefer an analysis of logical consequence in terms of the preservation of truth [29]. “Anti-realists” take this to be unhelpful and o:er alternative analyses. Some, like Dummett, (...) look to preservation of warrant to assert [9, 36]. Others, like Brandom [5], take inference as primitive, and analyse other notions in terms of it. There is plenty of disagreement on the “realist” side of the fence too. It is one thing to argue that logical consequence involves preservation of truth. It is another to explain how far truth must be preserved. Is the preservation essentially modal (in all circumstances [25]) or analytic (vouchsafed by.. (shrink)

A logic is said to be contraction free if the rule from A→(A→B) to A→B is not truth preserving. It is well known that a logic has to be contraction free for it to support a non-trivial naïve theory of sets or of truth. What is not so well known is that if there is another contracting implication expressible in the language, the logic still cannot support such a naïve theory. A logic is said to be robustly contraction free if (...) there is no such operator expressible in its language. We show that a large class of finitely valued logics are each not robustly contraction free, and demonstrate that some other contraction free logics fail to be robustly contraction free. Finally, the sublogics of Łω (with the standard connectives) are shown to be robustly contraction free. (shrink)

This article will discuss Paulo Freire’s global influences on environmental pedagogies and argue that ecopedagogical reinventions are essential for ‘quality’ education, as touted in the United Nations Sustainable Development Goal (SDG) #4, for global, all-inclusive ‘development’ that is planetarily sustainable. The politics of how ‘development’ is taught or not taught to be critically read linguistically and dialogically will be problematized through Freire’s work, and reinventions of his work, on ecopedagogy. As Freire was a pedagogue of critical literacy, ecopedagogical literacy widens (...) ‘reading the word to read the world’ (all humans, human populations) to read Earth to read the world as part of Earth. Such reading is not anthropocentric. The article will first describe Freire’s influence on reinventing environmental pedagogies, including education for (un)sustainable development (ESD), with specific discussions on how language of ‘development’ and corresponding (un)sustainability is framed. These influences from Freire will then be discussed through his de/re/constructions of citizenship, utopia and education, and globalization. Throughout the article, I will argue the need for teaching ecopedagogical literacy with ecolinguistics is essential to better understand the politics of language and (non)hierarchical dialogue which influence how ‘development’ goals are constructed, including the SDGs. (shrink)

:The distinction between brute luck and option luck is fundamental for luck egalitarianism. Many luck egalitarians write as if it could be used to specify which outcomes people should be held responsible for. In this paper, I argue that the distinction can’t be used this way. In fact, luck egalitarians tend to rely instead on rough intuitive judgements about individual responsibility. This makes their view vulnerable to what’s known as the neutrality objection. I show that attempts to avoid this objection (...) are unsuccessful. I conclude that until it provides a better account of attributing responsibility, luck egalitarianism remains incomplete. (shrink)

In a recent paper, Michael Otsuka and Alex Voorhoeve present a novel argument against prioritarianism. The argument takes its starting point from empirical surveys on people's preferences in health care resource allocation problems. In this article, I first question whether the empirical findings support their argument, and then I make some general points about the use of ‘empirical ethics’ in ethical theory.

The stock market crash of 1987 had a profound effect on corporate Australia and the Australian community in general. The fall-out revealed that some of our most respected business figures had not been as ethical, or even as lawful, as we would have hoped. This impropriety produced in Australia an awakening to business ethics. Whilst many companies endeavoured to introduce ethical practices into their corporations, they perceived ethics as a way of minimising damage to the corporation and in some cases (...) as a means of competitive advantage. What was lost was the reason that one should embark on business ethics; and that is to make the society and corporate Australia a more ethical place in which to exist.This paper proposes a model based on 2 factors: commitment and partnerships, as a means of enabling corporate Australia to refocus attention on the main purpose of being inherently ethical in all that we do. This ethical model requires a commitment to partnerships with all stakeholders both internal and external in an attempt to enhance the level of ethical business practices that are contemplated and pursued within corporate Australia. Whilst the research agenda and the information collected is Australian-based, it is hoped that the ideas contained within this paper will have a wider appeal to corporations in similar cultural settings. (shrink)

Three decades ago, James Bogen and James Woodward argued against the possibility and usefulness of scientific explanations of data. They developed a picture of scientific reasoning where stable phenomena were identified via data without much input from theory. Rather than explain data, theories ‘save the phenomena’. In contrast, I argue that there are good reasons to explain data, and the practice of science reveals attempts to do so. I demonstrate that algorithms employed to address inverse problems in remote-sensing applications should (...) be understood as attempts to identify phenomena by explaining the data. Thus, this paper furthers understanding of data-to-phenomena reasoning in science, and demonstrates theory may play a more central role in phenomena identification than previously recognized. (shrink)

Loïc Wacquant argues for a radicalization of the habitus concept provided by Pierre Bourdieu, suggesting that habitus is a site and mode for conducting research, not simply an explanatory or theoretical mechanism. Taking seriously this call to examine skills and communities of practice through apprenticeship, however, requires that the theoretical account of habitus be subject to empirical testing. Moreover, enquiry into communities of practice, especially the subtle psychological, behavioural and even neurological consequences of skill acquisition, means that claims about the (...) habitus can be scrutinized by fields such as psychology, neurology and even human biology. Habitus as a truly open path of inquiry will demand, not wholly novel concepts, but a recognition of when claims about practice are simultaneously testable, and falsifiable, by other forms of empirical enquiry, including the human sciences. (shrink)