The practice of Emergency Management in Michigan raises anew the question of whose knowledge matters to whom and for what reasons, against the background of what projects, challenges, and systemic imperatives. In this paper, I offer a historical overview of state intervention laws across the United States, focusing specifically on Michigan’s Emergency Manager laws. I draw on recent analyses of these laws to develop an account of a phenomenon that I call epistemic redlining, which, I suggest, is a form of (...) group-based credibility discounting not readily countenanced by existing, ‘culprit-based’ accounts of epistemic injustice. I argue that epistemic redlining plays a crucial role in ongoing projects of racialized subordination and dispossession in Michigan, and that such discounting tends to have structural causes that can be difficult to identify and uproot. Contrary to the general thrust of recent work on the topic, I argue that epistemic redlining ought to be understood as a form of epistemic injustice. (shrink)

Amodal completion is the representation of those parts of the perceived object that we get no sensory stimulation from. While amodal completion is rife and plays an essential role in all sense modalities, philosophical discussions of this phenomenon have almost entirely been limited to vision. The aim of this paper is to examine in what sense we can talk about amodal completion in olfaction. We distinguish three different senses of amodal completion – spatial, temporal and feature-based completion – and argue (...) that all three are present and play a significant role in olfaction. (shrink)

What is cruelty? How and why does it matter? What do the legal rejection of cruelty and the requirements of mercy entail? This essay asks these questions of Lucius Seneca, who first articulated an agent-based conception of cruelty in the context of punishment. The hypothesis is submitted that the answers to these questions offered in Seneca's De clementia constitute one of the turning points in the evolution of practical reason in law. I conclude, however, by arguing that even the mainstream (...) punitive practices of contemporary western societies fail to meet the modest imperatives of the rejection of cruelty and the unconditionality of mercy propounded by Seneca. (shrink)

Does individual desert matter for distributive justice? Is it relevant, for purposes of justice, that the pattern of distribution of justice’s “currency” (be it well-being, resources, preference-satisfaction, capabilities, or something else) is aligned in one or another way with the pattern of individual desert? -/- This paper examines the nexus between desert and distributive justice through the lens of individual claims. The concept of claims (specifically “claims across outcomes”) is a fruitful way to flesh out the content of distributive justice (...) so as to be grounded in the separateness of persons. A claim is a relation between a person and a pair of outcomes. If someone is better off in one outcome than a second, she has a claim in favor of the first. If she is equally well off in the two outcomes, she has a null claim between the two. In turn, whether one outcome is more just than a second depends upon the pattern of claims between them. -/- In prior work, I have elaborated the concept of claims across outcomes, and have used it to provide a unified defense of the Pareto and Pigou-Dalton axioms. Adding some further, plausible, axioms, we arrive at prioritarianism. -/- Here, I consider the possibility of desert-modulated claims—whereby the strength of an individual’s claim between two outcomes is determined not only by her well-being levels in the two outcomes, and her well-being difference between them, but also by her desert. This generalization of the notion of claims suggests a new axiom of justice: Priority for the More Deserving, requiring that, as between two individuals at the same well-being level, a given increment in well-being be allocated to the more deserving one. -/- If individual desert is intrapersonally fixed, this new axiom, together with a desert-modulated version of the Pigou-Dalton principle, and the Pareto axioms, yields a desert-modulated prioritarian account of distributive justice. Trouble arises, however, if an individual’s desert level can be different in different outcomes. In this case of intrapersonally variable desert, Priority for the More Deserving can conflict with the Pareto axioms (both Pareto indifference and strong Pareto). -/- This conflict, I believe, is sufficient reason to abandon the proposal to make claim strength a function of individual desert on top of well-being levels and differences. If distributive justice is truly sensitive to each individual’s separate perspective—if the justice ranking of outcomes is built up from the totality of individual rankings—we should embrace the Pareto axioms as axioms of justice and reject Priority for the More Deserving. In short: desert-modulated prioritarianism is a nonstarter. Rawls was right to sever distributive justice from desert. (shrink)

Decisional capacity evaluations (DCEs) occur in clinical settings where it is unclear whether a consumer of medical services has the capacity to make an informed decision about the relevant medical options. DCEs are localized interventions, not the global loss of competence, that assign a surrogate decision maker to make the decision on behalf of the medical consumer. We maintain that one important necessary condition for a DCE to be morally justified, in cases of medical necessity, is that the health care (...) consumer under evaluation is incapable of expressing a preference for a certain outcome. (shrink)

This analysis challenges the discourse of "The New Jim Crow: Mass Incarceration in the Age of Colorblindness." Drawing on prior research and historical literature it offers an in-depth discussion of the flawed contextual framework and fundamental problems of The New Jim Crow. It establishes that The New Jim Crow paradoxically excludes an analysis of mass incarceration’s most central and defining factors, its most salient, affected and revolutionary voices (especially the voices of African Americans), and shows how the book engages in (...) a paradoxical counterrevolutionary protest that misleads readers about the context, causes and possible remedial methods of mass incarceration in the United States. In extension, it suggests that readers, students and would-be agents of social change move “toward détournement of The New Jim Crow,” or toward a discovery of “the strange career of The New Jim Crow.”. (shrink)

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Critical theory generally refers to a series of pathways for Marxist-inspired intellectual inquiry that first emerged with the end of the 18th century European Enlightenment and in particular with the initial widespread waning of intellectual confidence that the newly hegemonic bourgeois society would succeed in realizing Enlightenment ideals. In short, it represents the intellectual articulation of the conviction that modern capitalist society cannot—at least not without significant reformation or substantial transformation—realize the Enlightenment ideal of an enlightened society. According to Enlightenment (...) consensus, this society is to be one which will genuinely embody the highest values of human civilization, and which will thereby insure steady progress in the attainment of liberty, justice, prosperity, and contentment for all of its citizens. (shrink)

This article explores Axel Honneth’s attempts to reconnect the struggles of workers with the normative content of modernity through Hegel’s intersubjective account of recognition. The importance of Honneth’s writings lies in his attempt to extend Habermas’ account of normative self-constitution to labor via the morally motivated struggles of workers to correct the modern maldistribution of social worth. To this extent, the expansion of ethical life is predicated on the struggles of excluded participants to gain inclusion within the normative content of (...) modernity. From this perspective Habermas’ attempt to legitimate the exclusion of labor (by the system) from the normative content of modernity appears unjust and unjustified. Unfortunately, Honneth shares with Habermas a tendency to locate the economic system beyond the (culturally defined) limits of ethical life. He thereby fails to acknowledge the extent to which workers play a major role in re-moralizing the former via the de-reification of the latter. (shrink)

Paul Tillich (1886-1965) is generally considered the most original and influential Christian theologian of the 20th century. What's not as widely recognized, outside of academic circles, is his stature as a first-rate existentialist philosopher—in the lineage of Kierkegaard, Heidegger, Nietzsche, and Pascal. Few people have analyzed more areas of existence: from art and architecture to culture, science, economics, politics, technology, psychology, world religions (particularly Buddhism), history, and health and healing. But one of Tillich's primary and enduring concerns was humanity's troubled (...) relationship with the natural world. It was his belief that empathizing with and defending nature was of vital importance to the human spirit, bringing great depth and meaning to our experience of life itself. -/- Though the 1962 publication of Rachel Carson's "Silent Spring" is seen as a pivotal moment in awakening the environmental movement, Tillich was writing decades before this of the commodification and desecration of the natural world. He witnessed the rise of industrialization and the power of this synthetic world to bend humanity to its demands, and warned that “we are living in the late stage of the self-destruction of industrial society, as a world above the given world of nature." Though creative in many respects, he also saw this technical enterprise impoverishing our spiritual lives and inflicting untold suffering on a defenseless planet and our fellow nonhuman animals. -/- With great implications for environmental ethics, a central part of Tillich’s theology is his “multidimensional unity of life,” a unique scientific and moral perspective that vastly expands our concept of life, granting deep significance to even the inorganic dimension. Perhaps most importantly, Tillich challenges religious views that see life on this planet as subordinate to the "real" lives to come after death, famously stating that “there is no salvation [salvus: to heal and make whole] of man if there is no salvation of nature, for man is in nature and nature is in man." -/- In this timely and original assessment of Tillich, Yunt provides a philosophical bulwark against the modern world's increasing assault on science, reason, and nature. And by examining contemporary environmental movements such as deep ecology and ecopsychology, as well as current issues like climate change and the impact of human diet and new technologies on the planet, Yunt brings clarity to the increasingly obvious fact that humans are within the realm of the natural world, not above it. (shrink)

Philosophers have rightly condemned lookism—that is, discrimination in favor of attractive people or against unattractive people—in education, the justice system, the workplace and elsewhere. Surprisingly, however, the almost universal preference for attractive romantic and sexual partners has rarely received serious ethical scrutiny. On its face, it’s unclear whether this is a form of discrimination we should reject or tolerate. I consider arguments for both views. On the one hand, a strong case can be made that preferring attractive partners is bad. (...) The idea is that choosing partners based on looks seems essentially similar to other objectionable forms of discrimination. (In particular, the preference for attractive partners is arguably both unfair and harmful to a significant degree.) One can try to resist this conclusion in several ways. I consider three possible replies. The first has to do with the possibility of controlling our partner preferences. The second pertains to attractiveness and “good genes”. The last attempts to link certain aspects of attractiveness to a prospective partner’s personality and values. I argue that the first two replies fail conclusively, while the third only amounts to a limited defense of a particular kind of attractiveness preference. So the idea that we should often avoid preferring attractive partners is compelling. (shrink)

We discuss potential biorisks from large language models (LLMs). AI assistants based on LLMs such as ChatGPT have been shown to significantly reduce barriers to entry for actors wishing to synthesize dangerous, potentially novel pathogens and chemical weapons. The harms from deploying such bioagents could be further magnified by AI-assisted misinformation. We endorse several policy responses to these dangers, including prerelease evaluations of biomedical AIs by subject-matter experts, enhanced surveillance and lab screening procedures, restrictions on AI training data, and access (...) controls on biomedical AI. We conclude with a suggestion about future research directions in bioethics. (shrink)

Motivated by the question of responsible AI and value alignment, I seek to offer a uniquely Foucauldian reconstruction of the problem as the emergence of an ethical subject in a disciplinary setting. This reconstruction contrasts with the strictly human-oriented programme typical to current scholarship that often views technology in instrumental terms. With this in mind, I problematise the concept of a technological subjectivity through an exploration of various aspects of ChatGPT in light of Foucault’s work, arguing that current systems lack (...) the reflexivity and self-formative characteristics inherent in the notion of the subject. By drawing upon a recent dialogue between Foucault and phenomenology, I suggest four techno-philosophical desiderata that would address the gaps in this search for a technological subjectivity: embodied self-care, embodied intentionality, imagination and reflexivity. Thus I propose that advanced AI be reconceptualised as a subject capable of “technical” self-crafting and reflexive self-conduct, opening new pathways to grasp the intertwinement of the human and the artificial. This reconceptualization holds the potential to render future AI technology more transparent and responsible in the circulation of knowledge, care and power. (shrink)

This article is a preliminary presentation of conjunctive paraconsistency, the claim that there might be non-explosive true contradictions, but contradictory propositions cannot be considered separately true. In case of true ‘p and not p’, the conjuncts must be held untrue, Simplification fails. The conjunctive approach is dual to non-adjunctive conceptions of inconsistency, informed by the idea that there might be cases in which a proposition is true and its negation is true too, but the conjunction is untrue, Adjunction fails. While (...) non-adjunctivism is a well-known option, the other view is not so much studied nowadays, but it was not unknown in the tradition, and there are some positive suggestions, in recent literature, that the position is plausible and deserves to be developed. The article compares conjunctivism, non-adjunctivism and dialetheism, then focuses on some possible justifications, costs and benefits of the conjunctive view. (shrink)

This paper is an original attempt to understand the foundations of economic reasoning. It endeavors to rigorously define the relationship between subjective interpretations and objective valuations of such interpretations in the context of theoretical economics. This analysis is substantially expanded through a dynamic approach, where the truth of a valuation results in an updated interpretation or changes in the agent's subjective belief regarding the effectiveness of the selected action as well as the objective reality of the effectiveness of all other (...) possible actions (i.e. consequence realization). Complications arise when the economic agent is presented with a set of actions that render ambiguous preference, or when the effectiveness of an action cannot be perceived upon its selection, thereby necessitating a different theory of choice and consequence realization. (shrink)

Clark and Chalmers (1998) defend the hypothesis of an ‘Extended Mind’, maintaining that beliefs and other paradigmatic mental states can be implemented outside the central nervous system or body. Aspects of the problem of ‘language acquisition’ are considered in the light of the extended mind hypothesis. Rather than ‘language’ as typically understood, the object of study is something called ‘utterance-activity’, a term of art intended to refer to the full range of kinetic and prosodic features of the on-line behaviour of (...) interacting humans. It is argued that utterance activity is plausibly regarded as jointly controlled by the embodied activity of interacting people, and that it contributes to the control of their behaviour. By means of specific examples it is suggested that this complex joint control facilitates easier learning of at least some features of language. This in turn suggests a striking form of the extended mind, in which infants’ cognitive powers are augmented by those of the people with whom they interact. (shrink)

The problem of truth in fiction concerns how to tell whether a given proposition is true in a given fiction. Thus far, the nearly universal consensus has been that some propositions are ‘implicitly true’ in some fictions: such propositions are not expressed by any explicit statements in the relevant work, but are nevertheless held to be true in those works on the basis of some other set of criteria. I call this family of views ‘implicitism’. I argue that implicitism faces (...) serious problems, whereas the opposite view is much more plausible than has previously been thought. After mounting a limited defence of explicitism, I explore a difficult problem for the view and discuss some possible responses. (shrink)

Vendler’s :161–173, 1979) puzzle about imagination is that the sentences ‘Imagine swimming in that water’ and ‘Imagine yourself swimming in that water’ seem at once semantically different and semantically the same. They seem semantically different, since the first requires you to imagine ’from the inside’, while the second allows you to imagine ’from the outside.’ They seem semantically the same, since despite superficial dissimilarity, there is good reason to think that they are syntactically and lexically identical. This paper sets out (...) the puzzle and offers a novel solution. Our proposal is that, just as there is knowledge-wh, there is also imagining-wh and that the inside/outside distinction Vendler points to is properly understood as a distinction within imagining-wh. In particular, to imagine swimming from the inside is to imagine what it feels like to swim, while to imagine swimming from the outside is to imagine what it looks like to swim. We show that this proposal is well grounded in both the semantics and syntax of ‘imagine.’ We also argue it makes better sense than its rivals of the data Vendler found so puzzling. (shrink)

Part 1 of 2, this is an introductory critical review of Michelle Alexander's "The New Jim Crow: Mass Incarceration In The Age of Colorblindness" (The New Press, 2010). See part 2: "Toward Détournement of The New Jim Crow" for an advanced critical reading.

Over decades of teaching systematic theology at Union Theological Seminary (New York), Christopher Morse has set out to salvage “dogmatics” as a postmodern theological discipline that nevertheless retains a (more or less literal) construal of the apocalyptic gospel message. This article attempts to clarify this project in conversation with William James’ best-known work on religious belief.

Defense of an account of intrinsic properties in terms of (what is now called) grounding rather than naturalness.

Susan Schneider (2019) has proposed two new tests for consciousness in AI (artificial intelligence) systems, the AI Consciousness Test and the Chip Test. On their face, the two tests seem to have the virtue of proving satisfactory to a wide range of consciousness theorists holding divergent theoretical positions, rather than narrowly relying on the truth of any particular theory of consciousness. Unfortunately, both tests are undermined in having an ‘audience problem’: Those theorists with the kind of architectural worries that motivate (...) the need for such tests should, on similar grounds, doubt that the tests establish the existence of genuine consciousness in the AI in question. Nonetheless, the proposed tests constitute progress, as they could find use by some theorists holding fitting views about consciousness and perhaps in conjunction with other tests for AI consciousness. (shrink)

In this paper, I develop and defend a new adverbial theory of perception. I first present a semantics for direct-object perceptual reports that treats their object positions as supplying adverbial modifiers, and I show how this semantics definitively solves the many-property problem for adverbialism. My solution is distinctive in that it articulates adverbialism from within a well-established formal semantic framework and ties adverbialism to a plausible semantics for perceptual reports in English. I then go on to present adverbialism as a (...) theory of the metaphysics of perception. The metaphysics I develop treats adverbial perception as a directed activity: it is an activity with success conditions. When perception is successful, the agent bears a relation to a concrete particular, but perception need not be successful; this allows perception to be fundamentally non-relational. The result is a novel formulation of adverbialism that eliminates the need for representational contents, but also treats successful and unsuccessful perceptual events as having a fundamental common factor. (shrink)

Open peer commentary on the article “Sensorimotor Direct Realism: How We Enact Our World” by Michael Beaton. Upshot: In light of the construal of sensorimotor theory offered by the target article, this commentary examines the role the theory should admit for internal representation.

According to a widespread view in metaphysics and philosophy of science, all explanations involve relations of ontic dependence between the items appearing in the explanandum and the items appearing in the explanans. I argue that a family of mathematical cases, which I call “viewing-as explanations”, are incompatible with the Dependence Thesis. These cases, I claim, feature genuine explanations that aren’t supported by ontic dependence relations. Hence the thesis isn’t true in general. The first part of the paper defends this claim (...) and discusses its significance. The second part of the paper considers whether viewing-as explanations occur in the empirical sciences, focusing on the case of so-called fictional models. It’s sometimes suggested that fictional models can be explanatory even though they fail to represent actual worldly dependence relations. Whether or not such models explain, I suggest, depends on whether we think scientific explanations necessarily give information relevant to intervention and control. Finally, I argue that counterfactual approaches to explanation also have trouble accommodating viewing-as cases. (shrink)

Simon Blackburn objects that Wittgenstein's private language argument overlooks the possibility that a private linguist can equip himself with a criterion of correctness by confirming generalizations about the patterns in which his private sensations occur. Crispin Wright responds that appropriate generalizations would be too few to be interesting. But I show that Wright's calculations are upset by his failure to appreciate both the richness of the data and the range of theories that would be available to the private linguist.

Readers new to Santayana may feel puzzled by aspects of Scepticism and Animal Faith (1923). A number of Santayana’s early critics were puzzled as well. Some found the relation between scepticism and common sense troublesome. Others were put off by Santayana’s indirect poetic style and his lack of “clarity.” In this paper I reflect on these topics, as well as the relation between his poetic style and his vision of philosophical truth and sublimity. This should illuminate his “discovery” of essence, (...) which he re-enacts in this book and which holds the key to understanding Santayana’s mature project. (shrink)

This is the first chapter to our edited collection of essays on the nature and ethics of blame. In this chapter we introduce the reader to contemporary discussions about blame and its relationship to other issues (e.g. free will and moral responsibility), and we situate the essays in this volume with respect to those discussions.

How should one respond to scepticism? Should one seek to refute it? Or should scepticism be ignored? This paper argues that descriptive metaphysics occupies an intermediate logical space between truth-directed transcendental arguments aimed at refuting the sceptic and the quietist stance of the Humean naturalist who declines to take up the sceptical challenge. Descriptive metaphysics is neither quietist nor confrontational. It seeks to show, rather, that the sceptic is not a genuine partner in conversation.

Ormerod and Chronicle reported that optimal solutions to traveling salesperson problems were judged to be aesthetically more pleasing than poorer solutions and that solutions with more convex hull nodes were rated as better figures. To test these conclusions, solution regularity and the number of potential intersections were held constant, whereas solution optimality, the number of internal nodes, and the number of nearest neighbors in each solution were varied factorially. The results did not support the view that the convex hull is (...) an important determinant of figural attractiveness. Also, in contrast to the findings of Ormerod and Chronicle, there were consistent individual differences. Participants appeared to be divided as to whether the most attractive figure enclosed a given area within a perimeter of minimum or maximum length. It is concluded that future research in this area cannot afford to focus exclusively on group performance measures. (shrink)

Global challenges such as climate change, food security, or public health have become dominant concerns in research and innovation policy. This article examines how responses to these challenges are addressed by governance actors. We argue that appeals to global challenges can give rise to a ‘solution strategy' that presents responses of dominant actors as solutions and a ‘negotiation strategy' that highlights the availability of heterogeneous and often conflicting responses. On the basis of interviews and document analyses, the study identifies both (...) strategies across local, national, and European levels. While our results demonstrate the co-existence of both strategies, we find that global challenges are most commonly highlighted together with the solutions offered by dominant actors. Global challenges are ‘wicked problems' that often become misframed as ‘tame problems’ in governance practice and thereby legitimise dominant responses. (shrink)

Mathematicians distinguish between proofs that explain their results and those that merely prove. This paper explores the nature of explanatory proofs, their role in mathematical practice, and some of the reasons why philosophers should care about them. Among the questions addressed are the following: what kinds of proofs are generally explanatory (or not)? What makes a proof explanatory? Do all mathematical explanations involve proof in an essential way? Are there really such things as explanatory proofs, and if so, how do (...) they relate to the sorts of explanation encountered in philosophy of science and metaphysics? (shrink)

The paper looks at the semantics and ontology of dispositions in the light of recent work on the subject. Objections to the simple conditionals apparently entailed by disposition statements are met by replacing them with so-called 'reduction sentences' and some implications of this are explored. The usual distinction between categorical and dispositional properties is criticised and the relation between dispositions and their bases examined. Applying this discussion to two typical cases leads to the conclusion that fragility is not a real (...) property and that, while both temperature and its bases are, this does not generate any problem of overdetermination. (shrink)

The verb 'imagine' admits of perspectival modification: we can imagine things from above, from a distant point of view, or from the point of view of a Russian. But in such cases, there need be no person, either real or imagined, who is above or distant from what is imagined, or who has the point of view of a Russian. We call this the puzzle of perspectival displacement. This paper sets out the puzzle, shows how it does not just concern (...) language, but also states of imagining themselves, and then presents a solution. The solution draws on the idea that many reports of imagining conceal a distinctive kind of question, and such concealed questions have an extra argument place for (what we will call) an experiencer from whose perspective things are imagined. This solution has a range of advantages over other proposals in the literature, and helps to advance two debates concerning perspectival engagement with fiction. (shrink)

The many-property problem has traditionally been taken to show that the adverbial theory of perception is untenable. This paper first shows that several widely accepted views concerning the nature of perception---including both representational and non-representational views---likewise face the many-property problem. It then presents a solution to the many-property problem for these views, but goes on to show how this solution can be adapted to provide a novel, fully compositional solution to the many-property problem for adverbialism. Thus, with respect to the (...) many-property problem, adverbialism and several widely accepted views in the philosophy of perception are on a par, and the problem is solved. (shrink)

Pain may appear to undermine the radically intentionalist view that the phenomenal character of any experience is entirely constituted by its representational content. That appearance is illusory. After categorizing versions of pain intentionalism along two dimensions, I argue that an 'objectivist' and 'non-mentalist' version is the most promising, if it can withstand two objections concerning what we say when in pain, and the distinctiveness of pain. I rebut these objections, in a way available to both opponents of and adherents to (...) the view that experiential content is entirely conceptual. (shrink)

In this paper I show that we have strong empirical and theoretical reasons to treat the verbs we use in our semantic theorizing—particularly ‘refers to ’, ‘applies to ’, and ‘is true of ’—as intensional transitive verbs. Stating our semantic theories with intensional vocabulary allows us to partially reconcile two competing approaches to the nature and subject-matter of semantics: the Chomskian approach, on which semantics is non-relational, internalistic, and concerns the psychology of language users, and the Lewisian approach, on which (...) semantics is fully relational, specifies truth-conditions, and has metaphysical implications. ITVs have two readings: an intensional, de dicto reading, and a relational, de re reading. A semantic theory stated with the de dicto readings of our semantic verbs captures the core insights of the Chomskian approach to semantics, in part because it allows us to assign extremely fine-grained semantic values to expressions, even when those expressions are empty. On the other hand, the de re reading yields a theory that is fully relational, and issues in truth-conditions. The resulting theories are related—and compatible—in that they are expressed by two different readings of the very same semantic vocabulary, and plausibly, the distinction between these two readings is one of scope. (shrink)

In this paper I present an empirical solution to the puzzle of Macbeth's dagger. The puzzle of Macbeth's dagger is the question of whether, in having his fatal vision of a dagger, Macbeth sees a dagger. I answer this question by addressing a more general one: the question of whether perceptual verbs are intensional transitive verbs (ITVs). I present seven experiments, each of which tests a collection of perceptual verbs for one of the three features characteristic of ITVs. One of (...) these features is Nonexistence: the failure of sentences involving transitive verbs to entail the existence of their direct objects. The experiments reveal that with respect to all three of these features, "see" behaves much more like a paradigmatically extensional verb than an intensional one. But surprisingly, unlike "see", "perceive" behaves much more like a paradigmatically intensional verb. This shows that the category of perceptual verbs is not uniform with respect to the features of intensionality; while Macbeth does not see a dagger, he may still perceive one. (shrink)

Gauss’s quadratic reciprocity theorem is among the most important results in the history of number theory. It’s also among the most mysterious: since its discovery in the late 18th century, mathematicians have regarded reciprocity as a deeply surprising fact in need of explanation. Intriguingly, though, there’s little agreement on how the theorem is best explained. Two quite different kinds of proof are most often praised as explanatory: an elementary argument that gives the theorem an intuitive geometric interpretation, due to Gauss (...) and Eisenstein, and a sophisticated proof using algebraic number theory, due to Hilbert. Philosophers have yet to look carefully at such explanatory disagreements in mathematics. I do so here. According to the view I defend, there are two important explanatory virtues—depth and transparency—which different proofs (and other potential explanations) possess to different degrees. Although not mutually exclusive in principle, the packages of features associated with the two stand in some tension with one another, so that very deep explanations are rarely transparent, and vice versa. After developing the theory of depth and transparency and applying it to the case of quadratic reciprocity, I draw some morals about the nature of mathematical explanation. (shrink)

Philosophers of science since Nagel have been interested in the links between intertheoretic reduction and explanation, understanding and other forms of epistemic progress. Although intertheoretic reduction is widely agreed to occur in pure mathematics as well as empirical science, the relationship between reduction and explanation in the mathematical setting has rarely been investigated in a similarly serious way. This paper examines an important particular case: the reduction of arithmetic to set theory. I claim that the reduction is unexplanatory. In defense (...) of this claim, I offer evidence from mathematical practice, and I respond to contrary suggestions due to Steinhart, Maddy, Kitcher and Quine. I then show how, even if set-theoretic reductions are generally not explanatory, set theory can nevertheless serve as a legitimate foundation for mathematics. Finally, some implications of my thesis for philosophy of mathematics and philosophy of science are discussed. In particular, I suggest that some reductions in mathematics are probably explanatory, and I propose that differing standards of theory acceptance might account for the apparent lack of unexplanatory reductions in the empirical sciences. (shrink)

Multidimensional adjectives are ubiquitous in natural language. An adjective F is multidimensional just in case whether F applies to an object or pair of objects depends on how those objects stand with respect to multiple underlying dimensions of F-ness. Developing a semantics for multidimensional adjectives requires us to address the problem of dimensional aggregation: how do the application conditions of an adjective F in its positive and comparative forms depend on its underlying dimensions? Here we develop a semantics for multidimensional (...) adjectives that incorporates aggregation functions. We then explore an analogy between dimensional aggregation and preference aggregation, bringing results from social choice theory to bear on the number and kind of aggregation functions that are admissible in a context. These results suggest that, for any given adjective, there will often be multiple aggregation functions admissible, meaning that multidimensional comparatives are often vague. (shrink)

Appropriate information and consent has been one of the most intensely discussed topics within the context of biobank research. In parallel to the normative debate, many socio-empirical studies have been conducted to gather experiences, preferences and views of patients, healthy research participants and further stakeholders. However, there is scarcity of literature which connects the normative debate about justifications for different consent models with findings gained in empirical research. In this paper we discuss findings of a limited review of socio-empirical research (...) on patients’ and healthy research participants’ experiences and views regarding consent to biobank research in light of ethical principles for appropriate information and consent. (shrink)

In this contribution we explore revisionists and anti-revisionists conceptions of the historical imagination. The focus will be on how these conceptions of the historical imagination determine how one ought to answer the question of whether or not it is in principle possible to know the past in its own terms rather than from the perspective of the present. The contrast that we are seeking to draw is that between a conception of the historical imagination which is revisionist in the sense (...) that it is committed to the claim that knowledge of the past is in principle impossible, and one which is anti-revisionist in the sense that it regards knowledge of the past in its own terms to be in principle possible. Revisionism, as we understand it here, is not the contingent claim that in some cases (where, for example, new evidence which was previously unavailable comes to light) the historical understanding of the past may be revised; rather, it represents an a priori claim about the impossibility of knowing the past in its own terms in all cases, and not just in some. Likewise, anti-revisionism, as we understand it here, is the view that historical knowledge is in principle possible; it is not the claim that it is always achieved as a matter of fact. The debate between revisionist and anti-revisionist conceptions of the historical imagination is therefore a second-order debate about the nature of historical knowing, about whether it is possible, and if so, about what its conditions of possibility are. It is not a first order debate about whether or not such knowledge has been achieved in any given case. (shrink)

Deductive inference is usually regarded as being “tautological” or “analytical”: the information conveyed by the conclusion is contained in the information conveyed by the premises. This idea, however, clashes with the undecidability of first-order logic and with the (likely) intractability of Boolean logic. In this article, we address the problem both from the semantic and the proof-theoretical point of view. We propose a hierarchy of propositional logics that are all tractable (i.e. decidable in polynomial time), although by means of growing (...) computational resources, and converge towards classical propositional logic. The underlying claim is that this hierarchy can be used to represent increasing levels of “depth” or “informativeness” of Boolean reasoning. Special attention is paid to the most basic logic in this hierarchy, the pure “intelim logic”, which satisfies all the requirements of a natural deduction system (allowing both introduction and elimination rules for each logical operator) while admitting of a feasible (quadratic) decision procedure. We argue that this logic is “analytic” in a particularly strict sense, in that it rules out any use of “virtual information”, which is chiefly responsible for the combinatorial explosion of standard classical systems. As a result, analyticity and tractability are reconciled and growing degrees of computational complexity are associated with the depth at which the use of virtual information is allowed. (shrink)

Situationists such as John Doris, Gilbert Harman, and Maria Merritt suppose that appeal to reliable behavioral dispositions can be dispensed with without radical revision to morality as we know it. This paper challenges this supposition, arguing that abandoning hope in reliable dispositions rules out genuine trust and forces us to suspend core reactive attitudes of gratitude and resentment, esteem and indignation. By examining situationism through the lens of trust we learn something about situationism (in particular, the radically revisionary moral implications (...) of its adoption) as well as something about trust (in particular, that the conditions necessary for genuine trust include a belief in a capacity for robust dispositions). (shrink)