Mereological realism holds that the world has a mereological structure – i.e. a distribution of mereological properties and relations. In this article, I defend Eleaticism about properties, according to which there are no causally inert non-logical properties. I then present an Eleatic argument for mereological anti-realism, which denies the existence of both mereological composites and mereological simples. After defending Eleaticism and mereological anti-realism, I argue that mereological anti-realism is preferable to mereological nihilism. I then conclude by examining the thesis that (...) composition is identity and noting its consequences for the question of mereological structure. (shrink)

Research on the ethics of algorithms has grown substantially over the past decade. Alongside the exponential development and application of machine learning algorithms, new ethical problems and solutions relating to their ubiquitous use in society have been proposed. This article builds on a review of the ethics of algorithms published in 2016, 2016). The goals are to contribute to the debate on the identification and analysis of the ethical implications of algorithms, to provide an updated analysis of epistemic and normative (...) concerns, and to offer actionable guidance for the governance of the design, development and deployment of algorithms. (shrink)

This article reports the findings of AI4People, an Atomium—EISMD initiative designed to lay the foundations for a “Good AI Society”. We introduce the core opportunities and risks of AI for society; present a synthesis of five ethical principles that should undergird its development and adoption; and offer 20 concrete recommendations—to assess, to develop, to incentivise, and to support good AI—which in some cases may be undertaken directly by national or supranational policy makers, while in others may be led by other (...) stakeholders. If adopted, these recommendations would serve as a firm foundation for the establishment of a Good AI Society. (shrink)

Artificial Intelligence (AI) is already having a major impact on society. As a result, many organizations have launched a wide range of initiatives to establish ethical principles for the adoption of socially beneficial AI. Unfortunately, the sheer volume of proposed principles threatens to overwhelm and confuse. How might this problem of ‘principle proliferation’ be solved? In this paper, we report the results of a fine-grained analysis of several of the highest-profile sets of ethical principles for AI. We assess whether these (...) principles converge upon a set of agreed-upon principles, or diverge, with significant disagreement over what constitutes ‘ethical AI.’ Our analysis finds a high degree of overlap among the sets of principles we analyze. We then identify an overarching framework consisting of five core principles for ethical AI. Four of them are core principles commonly used in bioethics: beneficence, non-maleficence, autonomy, and justice. On the basis of our comparative analysis, we argue that a new principle is needed in addition: explicability, understood as incorporating both the epistemological sense of intelligibility (as an answer to the question ‘how does it work?’) and in the ethical sense of accountability (as an answer to the question: ‘who is responsible for the way it works?’). In the ensuing discussion, we note the limitations and assess the implications of this ethical framework for future efforts to create laws, rules, technical standards, and best practices for ethical AI in a wide range of contexts. (shrink)

In July 2017, China’s State Council released the country’s strategy for developing artificial intelligence, entitled ‘New Generation Artificial Intelligence Development Plan’. This strategy outlined China’s aims to become the world leader in AI by 2030, to monetise AI into a trillion-yuan industry, and to emerge as the driving force in defining ethical norms and standards for AI. Several reports have analysed specific aspects of China’s AI policies or have assessed the country’s technical capabilities. Instead, in this article, we focus on (...) the socio-political background and policy debates that are shaping China’s AI strategy. In particular, we analyse the main strategic areas in which China is investing in AI and the concurrent ethical debates that are delimiting its use. By focusing on the policy backdrop, we seek to provide a more comprehensive and critical understanding of China’s AI policy by bringing together debates and analyses of a wide array of policy documents. (shrink)

The idea of artificial intelligence for social good is gaining traction within information societies in general and the AI community in particular. It has the potential to tackle social problems through the development of AI-based solutions. Yet, to date, there is only limited understanding of what makes AI socially good in theory, what counts as AI4SG in practice, and how to reproduce its initial successes in terms of policies. This article addresses this gap by identifying seven ethical factors that are (...) essential for future AI4SG initiatives. The analysis is supported by 27 case examples of AI4SG projects. Some of these factors are almost entirely novel to AI, while the significance of other factors is heightened by the use of AI. From each of these factors, corresponding best practices are formulated which, subject to context and balance, may serve as preliminary guidelines to ensure that well-designed AI is more likely to serve the social good. (shrink)

Initiatives relying on artificial intelligence (AI) to deliver socially beneficial outcomes—AI for social good (AI4SG)—are on the rise. However, existing attempts to understand and foster AI4SG initiatives have so far been limited by the lack of normative analyses and a shortage of empirical evidence. In this Perspective, we address these limitations by providing a definition of AI4SG and by advocating the use of the United Nations’ Sustainable Development Goals (SDGs) as a benchmark for tracing the scope and spread of AI4SG. (...) We introduce a database of AI4SG projects gathered using this benchmark, and discuss several key insights, including the extent to which different SDGs are being addressed. This analysis makes possible the identification of pressing problems that, if left unaddressed, risk hampering the effectiveness of AI4SG initiatives. (shrink)

In this paper, I defend an indexical analysis of the abstract-concrete distinction within the framework of modal realism. This analysis holds the abstract-concrete distinction to be conceptually inseparable from the distinction between the actual and the merely possible, which is assumed to be indexical in nature. The resulting view contributes to the case for modal realism by demonstrating how its distinctive resources provide a reductive analysis of the abstract-concrete distinction. This indexical analysis also provides a solution to a sceptical problem (...) regarding our concreteness, which parallels the sceptical problem that motivates indexicalism about actuality. (shrink)

Technologies to rapidly alert people when they have been in contact with someone carrying the coronavirus SARS-CoV-2 are part of a strategy to bring the pandemic under control. Currently, at least 47 contact-tracing apps are available globally. They are already in use in Australia, South Korea and Singapore, for instance. And many other governments are testing or considering them. Here we set out 16 questions to assess whether — and to what extent — a contact-tracing app is ethically justifiable.

That AI will have a major impact on society is no longer in question. Current debate turns instead on how far this impact will be positive or negative, for whom, in which ways, in which places, and on what timescale. In order to frame these questions in a more substantive way, in this prolegomena we introduce what we consider the four core opportunities for society offered by the use of AI, four associated risks which could emerge from its overuse or (...) misuse, and the opportunity costs associated with its under use. We then offer a high-level view of the emerging advantages for organisations of taking an ethical approach to developing and deploying AI. Finally, we introduce a set of five principles which should guide the development and deployment of AI technologies. The development of laws, policies and best practices for seizing the opportunities and minimizing the risks posed by AI technologies would benefit from building on ethical frameworks such as the one offered here. (shrink)

Discussion of atomistic and monistic theses about abstract reality.

Attributions of omnipresence, most familiar within the philosophy of religion, typically take the omnipresence of an entity to either consist in that entity's occupation of certain regions or be dependent upon other of that entity's attributes, such as omnipotence or omniscience. This paper defends an alternative conception of omnipresence that is independent of other purported divine attributes and dispenses with occupation. The resulting view repurposes the metaphysics of necessitism and permanentism, taking omnipresent entities to be those entities that exist at (...) all regions. This view is then shown to best accommodate attributions of omnipresence to a diverse range of metaphysical posits, like abstract entities, and a more diverse class of religious posits. (shrink)

Within contemporary science, it is common practice to compare data points to the average, i.e., to the statistical mean. Because this practice is so familiar, it might at first appear not to be the sort of thing that requires explanation. But recent research in cognitive science and in the history of science gives us reason to adopt the opposite perspective. Cognitive science research on the ways people ordinarily make sense of the world suggests that, instead of using a purely statistical (...) notion of the average, people tend to use a value-laden notion of the normal. Similarly, historical research on the scientific practices used in other time periods indicates that, prior to the nineteenth century, scientists tended to make use of a notion of the normal that was overtly value-laden. These findings give us reason to rethink certain familiar facts about scientific practice. In particular, they suggest that the fact that scientists so often make use of the statistical average should be seen as a highly surprising fact, the sort of thing that calls out for explanation. (shrink)

Eleaticism ties ontology to causality by denying the impossibility of causally inert entities. This paper examines some challenges regarding the proper formulation and general plausibility of Eleaticism. After suggesting how Eleatics ought to respond to these challenges, I consider the prospects for extending Eleaticism from ontology to ideology by requiring all primitive ideology to be causal in nature. Surprisingly enough, the resulting view delivers an eternalist and possibilist metaphysical picture in the neighborhood of Lewisian modal realism.

Lynne Baker’s case for the incompatibility of naturalism with the first-person perspective raises a range of questions about the relationship between naturalism and the various properties involved in first-person perspectives. After arguing that non-qualitative properties—most notably, haecceities like being Lynne Baker—are ineliminably tied to first-person perspectives, this paper considers whether naturalism and non-qualitative properties are, in fact, compatible. In doing so, the discussion focus on Shamik Dasupgta’s argument against individuals and, in turn, non-qualitative properties. Several strategies for undermining Dasgupta's argument (...) are considered, drawing on de re laws and haecceitistic possibilities. Finally, an analogy is drawn between naturalism and platonism regarding mathematical entities and naturalism's parallel commitment to individuals. I conclude that naturalists are obliged to posit non-qualitative properties. (shrink)

This paper presents the results of an attempt to adapt the technology acceptance model to a questionnaire to indicate whether or not the Moodle content management system was accepted by 147 Japanese University English language students. The questionnaire consisted of 13 items based on the factors of usefulness and ease-of-use. A factor analysis was performed on the results to ensure the number of underlying factors explaining the data. The result indicated that 2 factors explained more than 94% of item variation. (...) In addition, a discussion of the individual participant answers demonstrated that more than 85% of participants of this study accepted the Moodle system as both useful and easy to use. (shrink)

Not only the direct physical experiences of deployment can severely harm soldiers’ mental health. Witnessing violations of their moral principles by the enemy, or by their fellow soldiers and superiors, can also have a devastating impact. It can cause soldiers’ moral disorientation, increasing feelings of shame, guilt, or hate, and the need for general answers on questions of right and wrong. Various attempts have been made to keep soldiers mentally sane. One is to provide convincing causes for their deployment, which (...) risks an “end justifies the means” way of thinking. The good cause can provide a moral justification for horrible atrocities. Another method, introduced in the USA, Canada, and Australia, aims to strengthen military personnel’s resistance by promoting and maintaining a happy, optimistic state of mind through the use of positive psychology. Alongside making soldiers “morally fit” for all kinds of situations, the focus could also be on moral recovery and forgiveness. Such a care-based military ethics approach, aimed at mutual understanding and interdependence, could help soldiers handle the emotional impact of moral conflicts. This demands that military units reflect on their organizational culture and rethink oaths and codes of conduct that focus mainly on efficiency and readiness, as well as the soldierly self-image with its seemingly still deeply rooted warrior ethos. Today, resilience and positive psychology in the military is apparently mainly geared to assuring its soldiers’ readiness. An appropriate set of virtues and understanding of virtue ethics that are less centered on self-perfection and autonomy could point to a different form of character-building and lead to a better understanding of others. (shrink)

Peter Ludlow shows how word meanings are much more dynamic than we might have supposed, and explores how they are modulated even during everyday conversation. The resulting view is radical, and has far-reaching consequences for our political and legal discourse, and for enduring puzzles in the foundations of semantics, epistemology, and logic.

You don't say much about who you are teaching, or what subject you teach, but you do seem to see a need to justify what you are doing. Perhaps you're teaching underprivileged children, opening their minds to possibilities that might otherwise never have occurred to them. Or maybe you're teaching the children of affluent families and opening their eyes to the big moral issues they will face in life — like global poverty, and climate change. If you're doing something like (...) this, then stick with it. Giving money isn't the only way to make a difference. (shrink)

Glassen distinguishes various categories of moral terms that are nowadays often confused, conflated, or neglected.

Although the relationship of part to whole is one of the most fundamental there is, this is the first full-length study of this key concept. Showing that mereology, or the formal theory of part and whole, is essential to ontology, Simons surveys and critiques previous theories--especially the standard extensional view--and proposes a new account that encompasses both temporal and modal considerations. Simons's revised theory not only allows him to offer fresh solutions to long-standing problems, but also has far-reaching consequences for (...) our understanding of a host of classical philosophical concepts. (shrink)

The gig economy is a phenomenon that is rapidly expanding, redefining the nature of work and contributing to a significant change in how contemporary economies are organised. Its expansion is not unproblematic. This article provides a clear and systematic analysis of the main ethical challenges caused by the gig economy. Following a brief overview of the gig economy, its scope and scale, we map the key ethical problems that it gives rise to, as they are discussed in the relevant literature. (...) We map them onto three categories: the new organisation of work (what is done), the new nature of work (how it is done), and the new status of workers (who does it). We then evaluate a recent initiative from the EU that seeks to address the challenges of the gig economy. The 2019 report of the European High-Level Expert Group on the Impact of the Digital Transformation on EU Labour Markets is a positive step in the right direction. However, we argue that ethical concerns relating to algorithmic systems as mechanisms of control, and the discrimination, exclusion and disconnectedness faced by gig workers require further deliberation and policy response. A brief conclusion completes the analysis. The appendix presents the methodology underpinning our literature review. (shrink)

We present a formal semantics for epistemic logic, capturing the notion of knowability relative to information (KRI). Like Dretske, we move from the platitude that what an agent can know depends on her (empirical) information. We treat operators of the form K_AB (‘B is knowable on the basis of information A’) as variably strict quantifiers over worlds with a topic- or aboutness- preservation constraint. Variable strictness models the non-monotonicity of knowledge acquisition while allowing knowledge to be intrinsically stable. Aboutness-preservation models (...) the topic-sensitivity of information, allowing us to invalidate controversial forms of epistemic closure while validating less controversial ones. Thus, unlike the standard modal framework for epistemic logic, KRI accommodates plausible approaches to the Kripke-Harman dogmatism paradox, which bear on non-monotonicity, or on topic-sensitivity. KRI also strikes a better balance between agent idealization and a non-trivial logic of knowledge ascriptions. (shrink)

This chapter provides an introduction to higher-order metaphysics as well as to the contributions to this volume. We discuss five topics, corresponding to the five parts of this volume, and summarize the contributions to each part. First, we motivate the usefulness of higher-order quantification in metaphysics using a number of examples, and discuss the question of how such quantifiers should be interpreted. We provide a brief introduction to the most common forms of higher-order logics used in metaphysics, and indicate a (...) number of questions which can be raised in such systems using logical vocabulary alone. Using a further example, we return to applications of higher-order logics in metaphysics. We also mention key developments in the history of higher-order logic as it pertains to metaphysics. Finally, we mention certain arguments which have been raised against the use of higher-order logic, and some ways of responding to them. (shrink)

Healthcare systems across the globe are struggling with increasing costs and worsening outcomes. This presents those responsible for overseeing healthcare with a challenge. Increasingly, policymakers, politicians, clinical entrepreneurs and computer and data scientists argue that a key part of the solution will be ‘Artificial Intelligence’ (AI) – particularly Machine Learning (ML). This argument stems not from the belief that all healthcare needs will soon be taken care of by “robot doctors.” Instead, it is an argument that rests on the classic (...) counterfactual definition of AI as an umbrella term for a range of techniques that can be used to make machines complete tasks in a way that would be considered intelligent were they to be completed by a human. Automation of this nature could offer great opportunities for the improvement of healthcare services and ultimately patients’ health by significantly improving human clinical capabilities in diagnosis, drug discovery, epidemiology, personalised medicine, and operational efficiency. However, if these AI solutions are to be embedded in clinical practice, then at least three issues need to be considered: the technical possibilities and limitations; the ethical, regulatory and legal framework; and the governance framework. In this article, we report on the results of a systematic analysis designed to provide a clear overview of the second of these elements: the ethical, regulatory and legal framework. We find that ethical issues arise at six levels of abstraction (individual, interpersonal, group, institutional, sectoral, and societal) and can be categorised as epistemic, normative, or overarching. We conclude by stressing how important it is that the ethical challenges raised by implementing AI in healthcare settings are tackled proactively rather than reactively and map the key considerations for policymakers to each of the ethical concerns highlighted. (shrink)

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In the last several decades, a confluence of work in the social sciences, philosophy, statistics, and computer science has developed a theory of causal inference using directed graphs. This theory typically rests either explicitly or implicitly on two major assumptions.

We often speak as if there are merely possible people—for example, when we make such claims as that most possible people are never going to be born. Yet most metaphysicians deny that anything is both possibly a person and never born. Since our unreflective talk of merely possible people serves to draw non-trivial distinctions, these metaphysicians owe us some paraphrase by which we can draw those distinctions without committing ourselves to there being merely possible people. We show that such paraphrases (...) are unavailable if we limit ourselves to the expressive resources of even highly infinitary first-order modal languages. We then argue that such paraphrases are available in higher-order modal languages only given certain strong assumptions concerning the metaphysics of properties. We then consider alternative paraphrase strategies, and argue that none of them are tenable. If talk of merely possible people cannot be paraphrased, then it must be taken at face value, in which case it is necessary what individuals there are. Therefore, if it is contingent what individuals there are, then the demands of paraphrase place tight constraints on the metaphysics of properties: either (i) it is necessary what properties there are, or (ii) necessarily equivalent properties are identical, and having properties does not entail even possibly being anything at all. (shrink)

Peter Ludlow presents the first book on the philosophy of generative linguistics, including both Chomsky's government and binding theory and his minimalist ...

In the mid-seventeenth century a movement of self-styled experimental philosophers emerged in Britain. Originating in the discipline of natural philosophy amongst Fellows of the fledgling Royal Society of London, it soon spread to medicine and by the eighteenth century had impacted moral and political philosophy and even aesthetics. Early modern experimental philosophers gave epistemic priority to observation and experiment over theorising and speculation. They decried the use of hypotheses and system-building without recourse to experiment and, in some quarters, developed a (...) philosophy of experiment. The movement spread to the Netherlands and France in the early eighteenth century and later impacted Germany. Its important role in early modern philosophy was subsequently eclipsed by the widespread adoption of the Kantian historiography of modern philosophy, which emphasised the distinction between rationalism and empiricism and had no place for the historical phenomenon of early modern experimental philosophy. The re-emergence of interest in early modern experimental philosophy roughly coincided with the development of contemporary x-phi and there are some important similarities between the two. (shrink)

This paper examines Nietzsche’s conflicted relation to Epicurus, an important naturalistic predecessor in the ‘art of living’ tradition. I focus in particular on the Epicurean credo “live unnoticed” (lathe biōsas), which advocated an inconspicuous life of quiet philosophical reflection, self-cultivation and friendship, avoiding the public radar and eschewing the larger ambitions and perturbations of political life. Perhaps unsurprisingly, the idea looms largest and is most warmly received in Nietzsche’s middle period writings, where one finds a repeated concern with prudence, withdrawal (...) and concealment, and where the primary emphasis is on private pluralistic experiments in therapeutic self-cultivation among small groups of free spirits. The idea of the Epicurean Garden appeals greatly to Nietzsche at this time as well, and I suggest that Zarathustra’s Blessed Isles are best understood as a friendship community along these lines. However, Nietzsche’s growing impatience with human imperfections and the siren song of great politics eventually lead him away from Epicurus and back to Plato. Beginning with Zarathustra, the paradigm of the modest, hidden helpful philosopher-therapist is replaced by the more ambitious philosopher-legislator who takes upon himself the task of determining the future of humanity. Nonetheless, I argue that we can profit more from the modest, practical insights of Nietzsche’s Epicurean art of living. (short version). (shrink)

This paper is a study of higher-order contingentism – the view, roughly, that it is contingent what properties and propositions there are. We explore the motivations for this view and various ways in which it might be developed, synthesizing and expanding on work by Kit Fine, Robert Stalnaker, and Timothy Williamson. Special attention is paid to the question of whether the view makes sense by its own lights, or whether articulating the view requires drawing distinctions among possibilities that, according to (...) the view itself, do not exist to be drawn. The paper begins with a non-technical exposition of the main ideas and technical results, which can be read on its own. This exposition is followed by a formal investigation of higher-order contingentism, in which the tools of variable-domain intensional model theory are used to articulate various versions of the view, understood as theories formulated in a higher-order modal language. Our overall assessment is mixed: higher-order contingentism can be fleshed out into an elegant systematic theory, but perhaps only at the cost of abandoning some of its original motivations. (shrink)

We argue that recent empirical findings and theoretical models shed new light on the nature of attention. According to the resulting amplification view, attentional phenomena can be unified at the neural level as the consequence of the amplification of certain input signals of attention-independent perceptual computations. This way of identifying the core realizer of attention evades standard criticisms often raised against sub-personal accounts of attention. Moreover, this approach also reframes our thinking about the function of attention by shifting the focus (...) from the function of selection to the function of amplification. (shrink)

We are affected by the world: when I place my hand next to the fire, it becomes hot, and when I plunge it into the bucket of ice water, it becomes cold. What goes for physical changes also goes for at least some mental changes: when Felix the Cat leaps upon my lap, my lap not only becomes warm, but I also feel this warmth, and when he purrs, I hear his purr. It seems obvious, in other words, that perception (...) (at least, and at least under ordinary conditions) is a matter of being affected by the agency of perceptible objects. Call this doctrine affectionism. Durand of St.-Pourçain rejects affectionism. The paper has three parts. In the first part, I sketch, briefly, what motivates Durand to reject affectionism. In the second part, I will take up the affectionist doctrine as defended by Durand's older contemporary at Paris, Godfrey of Fontaines, who holds that the object of all our mental acts (not just perceptions, but also thoughts and desires) is the efficient cause of those acts, or, in other words, all mental acts (not just perception) come about owing to the affection of the relevant mental faculty by the agency of the object. As it turns out, Godfrey develops a celebrated argument against the thesis that the object is not the efficient cause but a mere sine qua non cause. Hence his position offers a challenge to Durand's position, a challenge, I argue in the third part, Durand meets. (shrink)

This is the full version of the Delphi Report on critical thinking and critical thinking instruction at the post-secondary level.

Confirmation bias is one of the most widely discussed epistemically problematic cognitions, challenging reliable belief formation and the correction of inaccurate views. Given its problematic nature, it remains unclear why the bias evolved and is still with us today. To offer an explanation, several philosophers and scientists have argued that the bias is in fact adaptive. I critically discuss three recent proposals of this kind before developing a novel alternative, what I call the ‘reality-matching account’. According to the account, confirmation (...) bias evolved because it helps us influence people and social structures so that they come to match our beliefs about them. This can result in significant developmental and epistemic benefits for us and other people, ensuring that over time we don’t become epistemically disconnected from social reality but can navigate it more easily. While that might not be the only evolved function of confirmation bias, it is an important one that has so far been neglected in the theorizing on the bias. (shrink)

[Newspaper Opinion] Before the COVID-19 pandemic and the accompanying fall in oil prices, a carbon price would have been immediately painful for the countries that imposed it, but far better for everyone over the longer term. In this unprecedented moment, introducing a carbon price would be beneficial both now and for the future.

This paper argues that early modern experimental philosophy emerged as the dominant member of a pair of methods in natural philosophy, the speculative versus the experimental, and that this pairing derives from an overarching distinction between speculative and operative philosophy that can be ultimately traced back to Aristotle. The paper examines the traditional classification of natural philosophy as a speculative discipline from the Stagirite to the seventeenth century; medieval and early modern attempts to articulate a scientia experimentalis; and the tensions (...) in the classification of natural magic and mechanics that led to the introduction of an operative part of natural philosophy in the writings of Francis Bacon and John Johnston. The paper concludes with a summary of the salient discontinuities between the experimental/speculative distinction of the mid-seventeenth century and its predecessors and a statement of the developments that led to the ascendance of experimental philosophy from the 1660s. (shrink)

When do two sentences say the same thing, that is, express the same content? We defend two-component (2C) semantics: the view that propositional contents comprise (at least) two irreducibly distinct constituents: (1) truth-conditions and (2) subject-matter. We contrast 2C with one-component (1C) semantics, focusing on the view that subject-matter is reducible to truth-conditions. We identify exponents of this view and argue in favor of 2C. An appendix proposes a general formal template for propositional 2C semantics.

My topic is moderate modal skepticism in the spirit of Peter van Inwagen. Here understood, this is a conservative version of modal empiricism that severely limits the extent to which an ordinary agent can reasonably believe “exotic” possibility claims. I offer a novel argument in support of this brand of skepticism: modal skepticism grounds an attractive (and novel) reply to Humean skepticism. Thus, I propose that modal skepticism be accepted on the basis of its theoretical utility as a tool (...) for dissolving philosophical paradox. (shrink)

According to the structured theory of propositions, if two sentences express the same proposition, then they have the same syntactic structure, with corresponding syntactic constituents expressing the same entities. A number of philosophers have recently focused attention on a powerful argument against this theory, based on a result by Bertrand Russell, which shows that the theory of structured propositions is inconsistent in higher order-logic. This paper explores a response to this argument, which involves restricting the scope of the claim that (...) propositions are structured, so that it does not hold for all propositions whatsoever, but only for those which are expressible using closed sentences of a given formal language. We call this restricted principle Closed Structure, and show that it is consistent in classical higher-order logic. As a schematic principle, the strength of Closed Structure is dependent on the chosen language. For its consistency to be philosophically significant, it also needs to be consistent in every extension of the language which the theorist of structured propositions is apt to accept. But, we go on to show, Closed Structure is in fact inconsistent in a very natural extension of the standard language of higher-order logic, which adds resources for plural talk of propositions. We conclude that this particular strategy of restricting the scope of the claim that propositions are structured is not a compelling response to the argument based on Russell’s result, though we note that for some applications, for instance to propositional attitudes, a restricted thesis in the vicinity may hold some promise. (shrink)