The Dedekind cuts in an ordered set form a set in the sense of constructive Zermelo—Fraenkel set theory. We deduce this statement from the principle of refinement, which we distill before from the axiom of fullness. Together with exponentiation, refinement is equivalent to fullness. None of the defining properties of an ordering is needed, and only refinement for two—element coverings is used. In particular, the Dedekind reals form a set; whence we have also refined an earlier result by Aczel and (...) Rathjen, who invoked the full form of fullness. To further generalise this, we look at Richman's method to complete an arbitrary metric space without sequences, which he designed to avoid countable choice. The completion of a separable metric space turns out to be a set even if the original space is a proper class; in particular, every complete separable metric space automatically is a set. (shrink)

In this article I present a disagreement between classical and constructive approaches to predicativity regarding the predicative status of so-called generalised inductive definitions. I begin by offering some motivation for an enquiry in the predicative foundations of constructive mathematics, by looking at contemporary work at the intersection between mathematics and computer science. I then review the background notions and spell out the above-mentioned disagreement between classical and constructive approaches to predicativity. Finally, I look at possible ways of defending the constructive (...) predicativity of inductive definitions. (shrink)

ABSTRACT Theories of sets such as Zermelo Fraenkel set theory are usually presented as the combination of two distinct kinds of principles: logical and set-theoretic principles. The set-theoretic principles are imposed ‘on top’ of first-order logic. This is in agreement with a traditional view of logic as universally applicable and topic neutral. Such a view of logic has been rejected by the intuitionists, on the ground that quantification over infinite domains requires the use of intuitionistic rather than classical logic. In (...) the following, I consider constructive set theories, which use intuitionistic rather than classical logic, and argue that they manifest a distinctive interdependence or an entanglement between sets and logic. In fact, Martin-Löf type theory identifies fundamental logical and set-theoretic notions. Remarkably, one of the motivations for this identification is the thought that classical quantification over infinite domains is problematic, while intuitionistic quantification is not. The approach to quantification adopted in Martin-Löf’s type theory is subtly interconnected with its predicativity. I conclude by recalling key aspects of an approach to predicativity inspired by Poincaré, which focuses on the issue of correct quantification over infinite domains and relate it back to Martin-Löf type theory. (shrink)

According to Weyl, “‘inexhaustibility’ is essential to the infinite”. However, he distinguishes two kinds of inexhaustible, or merely potential, domains: those that are “extensionally determinate” and those that are not. This article clarifies Weyl's distinction and explains its enduring logical and philosophical significance. The distinction sheds lights on the contemporary debate about potentialism, which in turn affords a deeper understanding of Weyl.

Predicativity is a notable example of fruitful interaction between philosophy and mathematical logic. It originated at the beginning of the 20th century from methodological and philosophical reflections on a changing concept of set. A clarification of this notion has prompted the development of fundamental new technical instruments, from Russell's type theory to an important chapter in proof theory, which saw the decisive involvement of Kreisel, Feferman and Schütte. The technical outcomes of predica-tivity have since taken a life of their own, (...) but have also produced a deeper understanding of the notion of predicativity, therefore witnessing the " light logic throws on problems in the foundations of mathematics. " (Feferman 1998, p. vii) Predicativity has been at the center of a considerable part of Feferman's work: over the years he has explored alternative ways of explicating and analyzing this notion and has shown that predicative mathematics extends much further than expected within ordinary mathematics. The aim of this note is to outline the principal features of predicativity, from its original motivations at the start of the past century to its logical analysis in the 1950-60's. The hope is to convey why predicativity is a fascinating subject, which has attracted Feferman's attention over the years. (shrink)

Recent debates in metaphysics have highlighted the significance of type theories, such as Simple Type Theory (STT), for our philosophical analysis. In this chapter, I present the salient features of a constructive type theory in the style of Martin-Löf, termed CTT. My principal aim is to convey the flavour of this rich, flexible and sophisticated theory and compare it with STT. I especially focus on the forms of quantification which are available in CTT. A further aim is to argue that (...) a comparison between a plurality of theories is beneficial to the philosophical analysis. We may, for example, discover helpful features of one theory that we may want to import into another context, thus enriching our repertoire of formal tools. Or, through comparison with a less well-known theory, we may gain a better understanding of the characteristics of the theories we are familiar with. As argued in this chapter, CTT has much to offer in all of these respects. (shrink)

Constructive and intuitionistic Zermelo-Fraenkel set theories are axiomatic theories of sets in the style of Zermelo-Fraenkel set theory (ZF) which are based on intuitionistic logic. They were introduced in the 1970's and they represent a formal context within which to codify mathematics based on intuitionistic logic. They are formulated on the basis of the standard first order language of Zermelo-Fraenkel set theory and make no direct use of inherently constructive ideas. In working in constructive and intuitionistic ZF we can thus (...) to some extent rely on our familiarity with ZF and its heuristics. -/- Notwithstanding the similarities with classical set theory, the concepts of set defined by constructive and intuitionistic set theories differ considerably from that of the classical tradition; they also differ from each other. The techniques utilised to work within them, as well as to obtain metamathematical results about them, also diverge in some respects from the classical tradition because of their commitment to intuitionistic logic. In fact, as is common in intuitionistic settings, a plethora of semantic and proof-theoretic methods are available for the study of constructive and intuitionistic set theories. -/- The entry introduces the main features of Constructive and Intuitionistic ZF and offers links to the relevant bibliography. (shrink)

Errett Bishop's work in constructive mathematics is overwhelmingly regarded as a turning point for mathematics based on intuitionistic logic. It brought new life to this form of mathematics and prompted the development of new areas of research that witness today's depth and breadth of constructive mathematics. Surprisingly, notwithstanding the extensive mathematical progress since the publication in 1967 of Errett Bishop's Foundations of Constructive Analysis, there has been no corresponding advances in the philosophy of constructive mathematics Bishop style. The aim of (...) this paper is to foster the philosophical debate about this form of mathematics. I begin by considering key elements of philosophical remarks by Bishop, especially focusing on Bishop's assessment of Brouwer. I then compare these remarks with ``traditional'' philosophical arguments for intuitionistic logic and argue that the latter are in tension with Bishop's views. ``Traditional'' arguments for intuitionistic logic turn out to be also in conflict with significant recent developments in constructive mathematics. This rises pressing questions for the philosopher of mathematics, especially with regard to the possibility of offering alternative philosophical arguments for constructive mathematics. I conclude with the suggestion to look anew at Bishop's own remarks for inspiration. (shrink)

Working in the weakening of constructive Zermelo-Fraenkel set theory in which the subset collection scheme is omitted, we show that the binary refinement principle implies all the instances of the exponentiation axiom in which the basis is a discrete set. In particular binary refinement implies that the class of detachable subsets of a set form a set. Binary refinement was originally extracted from the fullness axiom, an equivalent of subset collection, as a principle that was sufficient to prove that the (...) Dedekind reals form a set. Here we show that the Cauchy reals also form a set. More generally, binary refinement ensures that one remains in the realm of sets when one starts from discrete sets and one applies the operations of exponentiation and binary product a finite number of times. (shrink)

The thesis examines two dimensions of constructivity that manifest themselves within foundational systems for Bishop constructive mathematics: intuitionistic logic and predicativity. The latter, in particular, is the main focus of the thesis. The use of intuitionistic logic affects the notion of proof : constructive proofs may be seen as very general algorithms. Predicativity relates instead to the notion of set: predicative sets are viewed as if they were constructed from within and step by step. The first part of the thesis (...) clarifes the algorithmic nature of intuitionistic proofs, and explores the consequences of developing mathematics according to a constructive notion of proof. It also emphasizes intra-mathematical and pragmatic reasons for doing mathematics constructively. The second part of the thesis discusses predicativity. Predicativity expresses a kind of constructivity that has been appealed to both in the classical and in the constructive tradition. The thesis therefore addresses both classical and constructive variants of predicativity. It examines the origins of predicativity, its motives and some of the fundamental logical advances that were induced by the philosophical re ection on predicativity. It also investigates the relation between a number of distinct proposals for predicativity that appeared in the literature: strict predicativity, predicativity given the natural numbers and constructive predicativity. It advances a predicative concept of set as unifying theme that runs across both the classical and the constructive tradition, and identifies it as a forefather of a computational notion of set that is to be found in constructive type theories. Finally, it turns to the question of which portions of scientifically applicable mathematics can be carried out predicatively, invoking recent technical work in mathematical logic. (shrink)

Prominent constructive theories of sets as Martin-Löf type theory and Aczel and Myhill constructive set theory, feature a distinctive form of constructivity: predicativity. This may be phrased as a constructibility requirement for sets, which ought to be finitely specifiable in terms of some uncontroversial initial “objects” and simple operations over them. Predicativity emerged at the beginning of the 20th century as a fundamental component of an influential analysis of the paradoxes by Poincaré and Russell. According to this analysis the paradoxes (...) are caused by a vicious circularity in definitions; adherence to predicativity was therefore proposed as a systematic method for preventing such problematic circularity. In the following, I sketch the origins of predicativity, review the fundamental contributions by Russell and Weyl and look at modern incarnations of this notion. (shrink)

This edited collection bridges the foundations and practice of constructive mathematics and focuses on the contrast between the theoretical developments, which have been most useful for computer science (ie: constructive set and type theories), and more specific efforts on constructive analysis, algebra and topology. Aimed at academic logician, mathematicians, philosophers and computer scientists with contributions from leading researchers, it is up to date, highly topical and broad in scope.

Constructive set theory a' la Myhill-Aczel has been extended in (Cantini and Crosilla 2008, Cantini and Crosilla 2010) to incorporate a notion of (partial, non--extensional) operation. Constructive operational set theory is a constructive and predicative analogue of Beeson's Inuitionistic set theory with rules and of Feferman's Operational set theory (Beeson 1988, Feferman 2006, Jaeger 2007, Jaeger 2009, Jaeger 1009b). This paper is concerned with an extension of constructive operational set theory (Cantini and Crosilla 2010) by a uniform (...) operation of Transitive Closure, \tau. Given a set a, \tau produces its transitive closure \tau a. We show that the theory ESTE of (Cantini and Crosilla 2010) augmented by \tau is still conservative over Peano Arithmetic. (shrink)

In the present note, we study a generalization of Dedekind cuts in the context of constructive Zermelo–Fraenkel set theory CZF. For this purpose, we single out an equivalent of CZF's axiom of fullness and show that it is sufficient to derive that the Dedekind cuts in this generalized sense form a set. We also discuss the instance of this equivalent of fullness that is tantamount to the assertion that the class of Dedekind cuts in the rational numbers, in the customary (...) constructive sense including locatedness, is a set. This is to be compared with the situation for the partial reals, a generalization in a different direction: if one drops locatedness from the notion of a Dedekind real, then it becomes inherently impredicative. We make this precise, and further present the curiosity that the irrational Dedekind reals form a set already with exponentiation. (shrink)

This is the first of two articles dedicated to the notion of constructive set. In them we attempt a comparison between two different notions of set which occur in the context of the foundations for constructive mathematics. We also put them under perspective by stressing analogies and differences with the notion of set as codified in the classical theory Zermelo–Fraenkel. In the current article we illustrate in some detail the notion of set as expressed in Martin–L¨of type theory and present (...) the essential characters of this theory. In a second article we shall explore a distinct notion of set, as arising in the context of intuitionistic versions of Zermelo–Fraenkel set theory. The theory we shall analyse there is Aczel’s CZF and we shall supplement its exposition by a succinct account of Aczel’s interpretation of CZF in type theory. This will enable us to compare the two notions in a more precise sense. (shrink)

This thesis presents a proof theoretical investigation of some constructive set theories with restricted set induction. The set theories considered are various systems of Constructive Zermelo Fraenkel set theory, CZF ([1]), in which the schema of $\in$ - Induction is either removed or weakened. We shall examine the theories $CZF^\Sigma_\omega$ and $CZF_\omega$, in which the $\in$ - Induction scheme is replaced by a scheme of induction on the natural numbers (only for  formulas in the case of the first theory, (...) for arbitrary formulas in the second theory). Of particular interest is the system CZF− + INAC, which is obtained by removing $\in$ - Induction and by adding an axiom, INAC, for inaccessible sets. The main outcome is that CZF− + INAC is a predicative set theory with inaccessible sets, its proof theoretic ordinal being $\Gamma_0$. The proof theoretic strength of these theories, has been determined by means of proof theoretical reductions. The upper bounds have been obtained by interpreting the set theories in classical theories of (iterated) inductive definitions with ordinals. A significant feature of these interpretations is that they are realizability interpretations, which make an indirect use of Aczel’s interpretation of CZF in Martin Löf type theory, and, in the case of CZF− + INAC, also employ a maximum bisimulation relation to represent equality between sets. The lower bounds are obtained by interpreting appropriate subsystems of intuitionistic second order arithmetic in the set theories. At the conclusion of the thesis we present work unrelated to the previous chapters. It is a preliminary study of the constructible hierarchy in CZF. We begin by formalizing the notion of definability in constructive set theory and then introduce Gödel’s L in CZF. We prove that intuitionistic L is a model of a subsystem of CZF strong enough to include intuitionistic Kripke-Platek set theory, and also that L is a model of the axiom of constructibility, provably in CZF. (shrink)

This is a tutorial for the Minlog Proof Assistant, version 5.0.

In the present contribution we look at the legacy of Hilbert's programme in some recent developments in mathematics. Hilbert's ideas have seen new life in generalised and relativised forms by the hands of proof theorists and have been a source of motivation for the so--called reverse mathematics programme initiated by H. Friedman and S. Simpson. More recently Hilbert's programme has inspired T. Coquand and H. Lombardi to undertake a new approach to constructive algebra in which strong emphasis is laid on (...) the use of finite methods. The main aim is to eliminate the ideal objects and in so doing obtain more elementary and informative proofs. We survey some work in commutative algebra---mainly about and around the Zariski spectrum and the Krull dimension of a commutative ring---which witnesses the feasibility of such a revised Hilbert's programme. (shrink)

We introduce an operational set theory in the style of [5] and [16]. The theory we develop here is a theory of constructive sets and operations. One motivation behind constructive operational set theory is to merge a constructive notion of set ([1], [2]) with some aspects which are typical of explicit mathematics [14]. In particular, one has non-extensional operations (or rules) alongside extensional constructive sets. Operations are in general partial and a limited form of self{application is permitted. The system we (...) introduce here is a fully explicit, nitely axiomatised system of constructive sets and operations, which is shown to be as strong as HA. (shrink)

We present an extension of constructive Zermelo{Fraenkel set theory [2]. Constructive sets are endowed with an applicative structure, which allows us to express several set theoretic constructs uniformly and explicitly. From the proof theoretic point of view, the addition is shown to be conservative. In particular, we single out a theory of constructive sets with operations which has the same strength as Peano arithmetic.

The physics and metaphysics of identity and individuality Content Type Journal Article DOI 10.1007/s11016-010-9463-7 Authors Don Howard, Department of Philosophy and Graduate Program in History and Philosophy of Science, University of Notre Dame, Notre Dame, IN 46556, USA Bas C. van Fraassen, Philosophy Department, San Francisco State University, 1600 Holloway Avenue, San Francisco, CA 94132, USA Otávio Bueno, Department of Philosophy, University of Miami, Coral Gables, FL 33124, USA Elena Castellani, Department of Philosophy, University of Florence, Via Bolognese 52, 50139 (...) Florence, Italy Laura Crosilla, Department of Pure Mathematics, School of Mathematics, University of Leeds, Leeds, LS2 9JT UK Steven French, Department of Philosophy, University of Leeds, Leeds, UK Décio Krause, Department of Philosophy, Federal University of Santa Catarina, 88040-900 Campus Trindade, Florianópolis, SC Brazil Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796. (shrink)

Le blockbuster, c'est de l'explosif. A l'origine du mot, une bombe utilisée pendant la Seconde Guerre mondiale, capable de détruire tout un pâté de maisons. Et il n'y a sans doute pas d'image plus typique du blockbuster que celle d'une gigantesque explosion. Les déflagrations dont il s'agit dans ce livre ne sont pas uniquement celles que racontent les films. Produit grand public, confectionné grâce à d'immenses investissements financiers, le blockbuster s'apparente à une bombe à fragmentation, pulvérisant l'objet filmique dans des (...) contextes de consommation qui n'ont plus rien à voir avec le cinéma, se diffractant sur le marché mondial sous forme de produits dérivés, T-shirts, figurines et autres gadgets. Sept auteurs, philosophes et critiques, se sont penchés sur quelques blockbusters de leur choix. A chaque fois, les films dynamitent la pensée et l'entraînent dans des directions inattendues : les gremlins sabotent les écrans et contaminent les images, Godzilla et King Kong se font machines à échanger les regards, Batman devient le théâtre d'une déconstruction du politique, Alien met en scène les métamorphoses d'un récit qui ne change jamais, et Titanic coule comme cette industrie lourde qu'est le cinéma lui-même... (shrink)

In this article, Laura Quintana elaborates on a conceptual distinction between violence and rage. Along with this distinction, she recognises that while rage may possess a destructive potential, it can also be politicised in emancipatory practices that confront conditions of injustice and structural violence. Her analysis centers on contemporary political movements in Latin America, which she views as collective manifestations of rage. Within these movements, the manifestation of rage is intertwined with forms of care and communal labor. Quintana characterises (...) such movements as embodying a “dignified rage” (digna rabia) that calls for an emancipatory transformation of the status quo. She contends that these practices can be understood in terms of the notion of “anti-violence,” as it has been coined by Étienne Balibar. In this she diverges from Judith Butler, since, according to Quintana’s analysis, such practices challenge the demand for non-violence that has often served to neutralise the disruptive force of such manifestations and movements. (shrink)

In this article I argue that characterizations of anger as a hostile emotion may be mistaken. My project is empirically informed and is partly descriptive, partly diagnostic. It is descriptive in that I am concerned with what anger is, and how it tends to manifest, rather than with what anger should be or how moral anger is manifested. The orthodox view on anger takes it to be, descriptively, an emotion that aims for retribution. This view fits well with anger being (...) a hostile emotion, as retribution is punitive. I will argue that a different view of anger deserves our attention. On this alternative view, anger aims for recognition of harms done, rather than for the punishment of those who have committed them. I argue that we have reason to favour a strong view that excludes retribution from anger’s main aims. In addition, I offer a diagnosis of the reasons that led the retributive view of anger to become, and remain, orthodoxy. This diagnosis provides indirect reason to give my descriptive proposal serious consideration, for it highlights that the orthodox view has dominated folk and philosophical conceptions of anger for reasons that do not speak in favour of the view’s veracity. The view that anger is a hostile emotion will therefore emerge as in need of serious scrutiny. (shrink)

In his recent bookThe Idea of Justice, Amartya Sen suggests that political philosophy should move beyond the dominant, Rawls-inspired, methodological paradigm – what Sen calls ‘transcendental institutionalism’ – towards a more practically oriented approach to justice: ‘realization-focused comparison’. In this article, I argue that Sen's call for a paradigm shift in thinking about justice is unwarranted. I show that his criticisms of the Rawlsian approach are either based on misunderstandings, or correct but of little consequence, and conclude that the Rawlsian (...) approach already delivers much of what Sen himself wants from a theory of justice. (shrink)

A globalized world, some argue, needs a global democracy. But there is considerable disagreement about whether global democracy is an ideal worth pursuing. One of the main grounds for scepticism is captured by the slogan: “No global demos, no global democracy.” The fact that a key precondition of democracy—a demos—is absent at the global level, some argue, speaks against the pursuit of global democracy. The paper discusses four interpretations of the skeptical slogan—each based on a specific account of the notion (...) of “the demos”—and concludes that none of them establishes that the global democratic ideal must be abandoned. In so doing, the paper (i) systematizes different types of objections against global democracy, thus bringing some clarity to an otherwise intricate debate and (ii) offers a robust but qualified defense of the global democratic ideal. (shrink)

Frank Jackson often writes as if his descriptivist account of public language meanings were just plain common sense. How else are we to explain how different speakers manage to communicate using a public language? And how else can we explain how individuals arrive at confident judgments about the reference of their words in hypothetical scenarios? Our aim in this paper is to show just how controversial the psychological assumptions behind in Jackson’s semantic theory really are. First, we explain how Jackson’s (...) theory goes well beyond the commonsense platitudes he cites in its defence. Second, we sketch an alternative explanation of those platitudes, the jazz model of meaning, which we argue is more psychologically realistic. We conclude that the psychological picture presupposed by Jackson’s semantic theory stands in need of a much more substantial defence than he has so far offered. (shrink)

Much contemporary political philosophy claims to be Kant-inspired, but its aims and method differ from Kant's own. In his recent book, Force and Freedom, Arthur Ripstein advocates a more orthodox Kantian outlook, presenting it as superior to dominant (Kant-inspired) views. The most striking feature of this outlook is its attempt to ground the whole of political morality in one right: the right to freedom, understood as the right to be independent of others’ choices. Is Ripstein's Kantian project successful? In this (...) research note I argue that it is not. First, I suggest that Ripstein's notion of freedom is viciously circular. It is meant to ground all rights, but in fact it presupposes an account of those rights. Second, I show that—independently of its inability to ground a whole political morality—such a moralized understanding of freedom is normatively unappealing. (shrink)

Reference to the state is ubiquitous in debates about global justice. Some authors see the state as central to the justification of principles of justice, and thereby reject their extension to the international realm. Others emphasize its role in the implementation of those principles. This chapter scrutinizes the variety of ways in which the state figures in the global-justice debate. Our discussion suggests that, although the state should have a prominent role in theorizing about global justice, contrary to what is (...) commonly thought, acknowledging this role does not lead to anti-cosmopolitan conclusions, but to the defense of an “intermediate” position about global justice. From a justificatory perspective, we argue, the state remains a key locus for the application of egalitarian principles of justice, but is not the only one. From the perspective of implementation, we suggest that state institutions are increasingly fragile in a heavily interdependent world, and need to be supplemented—though not supplanted—with supranational authorities. (shrink)

A life without liberty and material resources is not a good life. Equally, a life devoid of meaningful social relationships—such as friendships, family attachments, and romances—is not a good life. From this it is tempting to conclude that just as individuals have rights to liberty and material resources, they also have rights to access meaningful social relationships. I argue that this conclusion can be defended only in a narrow set of cases. ‘Pure’ social relationship deprivation—that is, deprivation that is not (...) caused, or accompanied, by deficits in liberties and material resources— mostly generates demands of private beneficence. I suggest that social relationship deprivation is unjust, hence a rights violation, only when it is due to factors—such as one’s race—that are irrelevant to one’s being a good participant in social relationships. I thus conclude that access to meaningful social relationships is not a fundamental concern for theories of justice. (shrink)

Doxastic involuntarism—the thesis that we lack direct voluntary control (in response to non-evidential reasons) over our belief states—is often touted as philosophical orthodoxy. I here offer a novel defense of doxastic voluntarism, centered around three key moves. First, I point out that belief has two central functional roles, but that discussions of voluntarism have largely ignored questions of control over belief's guidance function. Second, I propose that we can learn much about doxastic control by looking to cognitive scientific research on (...) control over other relevantly similar mental states. I draw on a mechanistic account of control of the guidance function for “emotion-type states,” and argue that these same cognitive control mechanisms can used to block doxastic guidance. This gives us an account of “back-end” doxastic control which can be deployed for reasons which are not the right kinds of reasons to support “front-end” belief formation—i.e., non-evidential reasons. Third, I argue that comprehensive, self-directed exercises of this kind of control can amount to an underappreciated kind of voluntarism. This form of voluntarism is available to any account of belief that takes guidance-instantiation to be at least partly constitutive of believing. Finally, I discuss objections to, and upshots of, the view. (shrink)

Various philosophers authors have argued—on the basis of powerful examples—that we can have compelling moral or practical reasons to believe, even when the evidence suggests otherwise. This paper explores an alternative story, which still aims to respect widely shared intuitions about the motivating examples. Specifically, the paper proposes that what is at stake in these cases is not belief, but rather acceptance—an attitude classically characterized as taking a proposition as a premise in practical deliberation and action. I suggest that acceptance’s (...) theoretical usefulness in the ethics of belief has been hidden by its psychological obscurity. I thus aim to develop an empirically adequate and mechanistically specific psychological profile of acceptance. I characterize acceptance as centrally involving a cognitive gating function, in which we prevent a target belief state from having its characteristic downstream effects on reasoning, cognition, and action, and restructure those downstream processes. I then argue that there is substantial empirical support for the existence of the cognitive mechanisms needed to instantiate this view, coming from the science of emotion regulation. I argue that acceptance involves deploying the same mechanisms used in emotional response modulation to belief states: acceptance is doxastic response modulation. I then propose that having a better understanding of the psychological profile of acceptance leaves us better positioned to appreciate its potential usefulness for making progress on various puzzles within the ethics of belief. (shrink)

This article discusses the concept of ἰδιώτης, often translated as ‘layman’, in Dionysius of Halicarnassus’ critical essays, where he places particular emphasis on validating the judgement of the ἰδιώτης in aesthetic evaluation. Dionysius’ focus on the impact and reception of art enables him to lay the groundwork for shifting the semantic meaning of ἰδιώτης from being in strict opposition to the artist/critic to a more fluid category, ranging from ‘unskilled’ listener and layman to a relatively experienced ‘amateur’. By conceiving the (...) change from ἰδιώτης to τεχνίτης in criticism as a more gradual process (rather than one of irreconcilable division), Dionysius shows the discipline of rhetoric and literary criticism to be a particularly relevant form of learning that speaks to the sensibilities of Imperial Rome. (shrink)

When and why do socially constructed norms—including the laws of the land, norms of etiquette, and informal customs—generate moral obligations? I argue that the answer lies in the duty to respect others, specifically to give them what I call “agency respect.” This is the kind of respect that people are owed in light of how they exercise their agency. My central thesis is this: To the extent that (i) existing norms are underpinned by people’s commitments as agents and (ii) they (...) do not conflict with morality, they place moral demands on us on agency-respect grounds. This view of the moral force of socially constructed norms, I suggest, is superior to views that deny the moral force of such norms, and it elegantly explains certain instances of wrongdoing that would otherwise remain unaccounted for. (shrink)

This article draws attention to the transformation of the Swiss physician Johann Georg Zimmermann’s (1728–1795) work on national pride. First published as Von dem Nationalstolze in 1758, this work attracted trans-European interest and consequently appeared in substantially revised editions in 1760 and 1768. One notable addition in the new editions was a chapter on national pride felt by the subjects of monarchies, which could be taken as indicating a monarchist turn in Zimmermann’s thinking. However, as the article contends, Zimmermann’s work (...) can be read not only as a treatise making claims about the national pride of various countries but also as a text which, in so doing, attempted to encourage liberty and patriotic virtue in different societies. As such, it can be interpreted as representing a variation of republicanism that focussed solely on reforming the thinking of individuals. This argument is based on an analysis of the evolution of Zimmermann’s work, his correspondence, contemporary reviews, and a set of unpublished draft prefaces. As this evidence indicates, Zimmermann aspired to promote a republican attitude wherever his readers were situated. However, appreciating this ‘internalised republicanism’ requires that his writing is examined as a process involving the reactions of his expanding audience. (shrink)

In this article, I develop a new account of the liberal view that principles of justice are meant to justify state coercion, and consider its implications for the question of global socioeconomic justice. Although contemporary proponents of this view deny that principles of socioeconomic justice apply globally, on my newly developed account this conclusion is mistaken. I distinguish between two types of coercion, systemic and interactional, and argue that a plausible theory of global justice should contain principles justifying both. The (...) justification of interactional coercion requires principles regulating interstate interference; that of systemic coercion requires principles of global socioeconomic justice. I argue that the proposed view not only helps us make progress in the debate on global justice, but also offers an independently compelling and systematic account of the function and conditions of applicability of justice. -/-. (shrink)

Metaphors for describing the introduction, impacts, and management of non-native species are numerous and often quite outspoken. Policy-makers have adopted increasingly disputed metaphorical terms from scientific discourse. We performed a critical analysis of the use of strong metaphors in reporting scientific findings to policy-makers. Our analysis shows that perceptions of harm, invasiveness or nativeness are dynamic and inevitably display multiple narratives in science, policy or management. Improving our awareness of multiple expert and stakeholder narratives that exist in the context of (...) non-native species management, as well as metaphorical alternatives, is critical. (shrink)