The revised edition contains a new chapter which provides an elegant description of the semantics. The various classes of lambda calculus models are described in a uniform manner. Some didactical improvements have been made to this edition. An example of a simple model is given and then the general theory (of categorical models) is developed. Indications are given of those parts of the book which can be used to form a coherent course.

Is democracy a requirement of justice or an instrument for realizing it? The correct answer to this question, I argue, depends on the background circumstances against which democracy is defended. In the presence of thin reasonable disagreement about justice, we should value democracy only instrumentally (if at all); in the presence of thick reasonable disagreement about justice, we should value it also intrinsically, as a necessary demand of justice. Since the latter type of disagreement is pervasive in real-world politics, I (...) conclude that theories of justice designed for our world should be centrally concerned with democracy. (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)

In the context of his theory of numberings, Ershov showed that Kleene's recursion theorem holds for any precomplete numbering. We discuss various generalizations of this result. Among other things, we show that Arslanov's completeness criterion also holds for every precomplete numbering, and we discuss the relation with Visser's ADN theorem, as well as the uniformity or nonuniformity of the various fixed point theorems. Finally, we base numberings on partial combinatory algebras and prove a generalization of Ershov's theorem in this context.

Robots are increasingly being studied for use in education. It is expected that robots will have the potential to facilitate children’s learning and function autonomously within real classrooms in the near future. Previous research has raised the importance of designing acceptable robots for different practices. In parallel, scholars have raised ethical concerns surrounding children interacting with robots. Drawing on a Responsible Research and Innovation perspective, our goal is to move away from research concerned with designing features that will render robots (...) more socially acceptable by end users toward a reflective dialogue whose goal is to consider the key ethical issues and long-term consequences of implementing classroom robots for teachers and children in primary education. This paper presents the results from several focus groups conducted with teachers in three European countries. Through a thematic analysis, we provide a theoretical account of teachers’ perspectives on classroom robots pertaining to privacy, robot role, effects on children and responsibility. Implications for the field of educational robotics are discussed. (shrink)

This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification.

This article provides a conceptual map of the debate on ideal and non‐ideal theory. It argues that this debate encompasses a number of different questions, which have not been kept sufficiently separate in the literature. In particular, the article distinguishes between the following three interpretations of the ‘ideal vs. non‐ideal theory’ contrast: (i) full compliance vs. partial compliance theory; (ii) utopian vs. realistic theory; (iii) end‐state vs. transitional theory. The article advances critical reflections on each of these sub‐debates, and highlights (...) areas for future research in the field. (shrink)

One of the most important contributions of A. Church to logic is his invention of the lambda calculus. We present the genesis of this theory and its two major areas of application: the representation of computations and the resulting functional programming languages on the one hand and the representation of reasoning and the resulting systems of computer mathematics on the other hand.

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)

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)

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)

In this article, I sketch a Kant-inspired liberal account of human rights: the freedom-centred view. This account conceptualizes human rights as entitlements that any political authority—any state in the first instance—must secure to qualify as a guarantor of its subjects' innate right to freedom. On this picture, when a state (or state-like institution) protects human rights, it reasonably qualifies as a moral agent to be treated with respect. By contrast, when a state (or state-like institution) fails to protect human rights, (...) it loses its moral status and becomes liable to both internal and external interference. I argue that this account not only steers a middle course between so-called natural-law and political approaches to human rights but also satisfies three important theoretical desiderata— explanatory power, functional specificity, and critical capacity. (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)

Illative combinatory logic consists of the theory of combinators or lambda calculus extended by extra constants (and corresponding axioms and rules) intended to capture inference. The paper considers systems of illative combinatory logic that are sound for first-order propositional and predicate calculus. The interpretation from ordinary logic into the illative systems can be done in two ways: following the propositions-as-types paradigm, in which derivations become combinators or, in a more direct way, in which derivations are not translated. Both translations are (...) closely related in a canonical way. The two direct translations turn out to be complete. The paper fulfills the program of Church [1932], [1933] and Curry [1930] to base logic on a consistent system of λ-terms or combinators. Hitherto this program had failed because systems of ICL were either too weak (to provide a sound interpretation) or too strong (sometimes even inconsistent). (shrink)

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)

Participants were unknowingly exposed to complex regularities in a working memory task. The existence of implicit knowledge was subsequently inferred from a preference for stimuli with similar grammatical regularities. Several affective traits have been shown to influence AGL performance positively, many of which are related to a tendency for automatic responding. We therefore tested whether the mindfulness trait predicted a reduction of grammatically congruent preferences, and used emotional primes to explore the influence of affect. Mindfulness was shown to correlate negatively (...) with grammatically congruent responses. Negative primes were shown to result in faster and more negative evaluations. We conclude that grammatically congruent preference ratings rely on habitual responses, and that our findings provide empirical evidence for the non-reactive disposition of the mindfulness trait. (shrink)

The aim of this chapter is to discuss the relevance that emotions can play in our epistemic life considering the state of the art of the philosophical debate on emotions. The strategy is the one of focusing on the three main models on emotions as evaluative judgements, bodily feelings, and perceptions, following the fil rouge of emotion intentionality for rising questions about their epistemic functions. From this examination, a major challenge to mainstream epistemology arises, the one that asks to provide (...) prominence to the epistemic agent and to her affects. This chapter discusses these implications, also providing an overview of the many alternatives available nowadays in epistemology, arguing for an open, comprehensive, and interdisciplinary approach to emotions in knowledge. (shrink)

Recent work at the junction of epistemology and political theory focuses on the notion of epistemic injustice, the injustice of being wronged as a knower. Miranda Fricker (2007) identifies two kinds of epistemic injustice. I focus here on hermeneutical injustice in an attempt to identify a difficulty for Fricker's account. In particular, I consider the significance of background social conditions and suggest that an epistemic injustice should not rely on other forms of disadvantage to achieve its status as an injustice. (...) Thus reformulated, the notion of epistemic injustice can help us to achieve an even deeper understanding of the relationship between knowledge and privilege. (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)

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)

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)

A closed λ-term E is called an enumerator if M ε /gL/dg /gTn ε N E/drn/dl = β M. Here Λ° is the set of closed λ-terms, N is the set of natural numbers and the /drn/dl are the Church numerals λfx./tfnx. Such an E is called reducing if moreover M ε /gL/dg /gTn ε N E/drn/dl /a/gb M. In 1983 I conjectured that every enumerator is reducing. An ingenious recursion theoretic proof of this conjecture by Statman is presented in (...) Barendregt . The proof is not intuitionistically valid, however. Dirk van Dalen has encouraged me to find intuitionistic proofs whenever possible. In the lambda calculus this is usually not difficult. In this paper an intuitionistic version of Statmans proof will be given. It took me somewhat longer to find it than in other cases. (shrink)

Abstract.Evolutionary psychology and behavioural genomics are both approaches to explain human behaviour from a genetic point of view. Nonetheless, thus far the development of these disciplines is anything but interdependent. This paper examines the question whether evolutionary psychology can contribute to behavioural genomics. Firstly, a possible inconsistency between the two approaches is reviewed, viz. that evolutionary psychology focuses on the universal human nature and disregards the genetic variation studied by behavioural genomics. Secondly, we will discuss the structure of biological explanations. (...) Some philosophers rightly acknowledge that explanations do not involve laws which are exceptionless and universal. Instead, generalisations that are invariant suffice for successful explanation as long as two other stipulations are recognised: the domain within which the generalisation has no exceptions as well as the distribution of the mechanism described by the generalisation should both be specified. It is argued that evolutionary psychology can contribute to behavioural genomic explanations by accounting for these two specifications. (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)

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)

While various definitions of moral distress have been proposed, some agreement exists that it results from illegitimate constraints in clinical practice affecting healthcare professionals’ moral agency. If we are to reduce moral distress, instruments measuring it should provide relevant information about such illegitimate constraints. Unfortunately, existing instruments fail to do so. We discuss here several shortcomings of major instruments in use: their inability to determine whether reports of moral distress involve an accurate assessment of the requisite clinical and logistical facts (...) in play, whether the distress in question is aptly characterized as moral, and whether the moral distress reported is an appropriate target of elimination. Such failures seriously limit the ability of empirical work on moral distress to foster appropriate change. (shrink)

This article provides a much‐needed review of the neural bases of implicit statistical learning. Batterink, Paller and Reber focus on the neural processes that underpin performance in experimental paradigms employed in implicit learning and statistical learning research. An important insight is that learning across all paradigms is supported by interactions between the declarative and nondeclarative memory systems of the brain. They conclude with a helpful discussion of future directions of research.

A prominent view in contemporary political theory, the ‘associative view’, says that duties of justice are triggered by particular cooperative relations between morally significant agents, and that ‘therefore’ principles of justice apply only among fellow citizens. This view has been challenged by advocates of global justice, who point to the existence of a world-wide cooperative network to which principles of justice apply. Call this the challenge from geographical extension. In this paper, I pose a structurally similar challenge to the associative (...) view: the challenge from species extension. This says that the existing network of cooperation extends beyond the human species, to encompass some non-human animals, particularly domesticated dogs. In light of this, if one believes that (i) certain non-human animals are morally significant (i.e. objects of moral concern), and that (ii) justice applies to fellow cooperators, one should also hold that domesticated dogs are owed justice in much the same way our human fellow citizens are. I conclude by considering the implications of this argument for the associative view, and animal-rights theory. (shrink)

Which standards should we employ to evaluate the global order? Should they be standards of justice or standards of legitimacy? In this article, I argue that liberal political theorists need not face this dilemma, because liberal justice and legitimacy are not distinct values. Rather, they indicate what the same value, i.e. equal respect for persons, demands of institutions under different sets of circumstances. I suggest that under real-world circumstances – characterized by conflicts and disagreements – equal respect demands basic-rights protection (...) and democratic participation, which I here call ‘political justice’. I conclude the article by considering three possible configurations of the global order – the ‘democratic world-state’, ‘independent democratic states’, and ‘mixed’ models – and argue that a commitment to political justice speaks in favour of the latter. (shrink)

Attempts to explain behavior genetically face two major problems: the application of the concept of genetic coding and the theoretical possibility of decomposing behavior. This paper argues that using the notion of genetic coding is appropriate in explanations of protein synthesis but inadequate and even misleading in the context of explanations of behavior. Genes should be regarded as disparate components of mechanisms that account for behavior rather than as codes for behavioral phenotypes. Such mechanistic explanations, however, presuppose the possibility of (...) decomposing behavioral phenotypes, which is strongly disputed by researchers holding an interactionist view of behavior. It is argued that these researchers fail to distinguish etiological from constitutive decomposition, and that their objections apply to the former but not to the latter kind. Constitutive decomposition might identify genes as disparate components and open up the possibility of explaining behavior mechanistically by isolating causal paths from genes to behavior. Finally, research on the single gene disorder phenylketonuria is introduced to illustrate and test these views. With respect to this disorder it is demonstrated that applying the concept of genetic coding would be inappropriate and misguiding, while nonetheless the phenotype is decomposable and can be explained mechanistically by singling out a genetic causal path.t is demonstrated that applying the concept of genetic coding would be inappropriate and misguiding, while nonetheless the phenotype is decomposable and can be explained mechanistically by singling out a genetic causal path. (shrink)