In classically based modal logic, there are three common conceptions of necessity, the universal conception, the equivalence relation conception, and the axiomatic conception. They provide distinct presentations of the modal logic S5, all of which coincide in the basic modal language. We explore these different conceptions in the context of the relevant logic R, demonstrating where they come apart. This reveals that there are many options for being an S5-ish extension of R. It further reveals a divide between the universal (...) conception of necessity on the one hand, and the axiomatic conception on the other: The latter is consistent with motivations for relevant logics while the former is not. For the committed relevant logician, necessity cannot be the truth in all possible worlds. (shrink)

There appears to be few, if any, limits on what sorts of logical connectives can be added to a given logic. One source of potential limitations is the motivating ideology associated with a logic. While extraneous to the logic, the motivating ideology is often important for the development of formal and philosophical work on that logic, as is the case with intuitionistic logic. One family of logics for which the philosophical ideology is important is the family of relevant logics. In (...) this paper, I explore the limits of what a relevant connective is, showing how some basic criteria motivated by the ideology of relevant logicians provide robust limits on potential connectives. These criteria provide some plausible necessary conditions on being a relevant connective. (shrink)

This interdisciplinary analysis presents an innovative examination of the nature of pride and humility, including all their slippery nuances and points of connection. By combining insights from visual art, literature, philosophy, religious studies, and psychology, this volume adapts a complementary rather than an oppositional approach to examine how pride and humility reinforce and inform one another. This method produces a robust, substantial, and meaningful description of these important concepts. The analysis takes into account key elements of pride and humility, including (...) self-esteem and self-confidence, human interconnectedness, power's function and limitations, and the role of fear. Shawn R. Tucker explores the many inflections of these terms, inflections that cast them by turns as positive or negative, emboldening or discouraging, and salubrious or vicious depending upon the context and manner in which they are used. (shrink)

An “insightful” and in-depth look at anti-science politics and its deadly results (Maria Konnikova, New York Times–bestselling author of The Biggest Bluff). Thomas Jefferson said, “Wherever the people are well informed, they can be trusted with their own government.” But what happens when they aren’t? From climate change to vaccinations, transportation to technology, health care to defense, we are in the midst of an unprecedented expansion of scientific progress—and a simultaneous expansion of danger. At the very time we need them (...) most, scientists and the very idea of objective knowledge are being bombarded by a vast, well-funded war on science, and the results are deadly. Whether it’s driven by identity politics, ideology, or industry, the result is an unprecedented erosion of thought in Western democracies as voters, policymakers, and justices actively ignore scientific evidence, leaving major policy decisions to be based more on the demands of the most strident voices. This compelling book investigates the historical, social, philosophical, political, and emotional reasons why evidence-based politics are in decline and authoritarian politics are once again on the rise on both left and right—and provides some compelling solutions to bring us to our collective senses, before it's too late. “If you care about attacks on climate science and the rise of authoritarianism, if you care about biased media coverage and shake-your-head political tomfoolery, this book is for you.”—The Guardian. (shrink)

The influence of historiography on aspects of political thought in France, Italy and Germany. In recent years the overlap between political thought and historiography has changed the boundaries of intellectual history. Donald Kelley, the longtime editor of The Journal of the History of Ideas has played a leading part in this process. These essays by his friends and former students follow in his footsteps. The collection is divided into three parts: France, England [six essays], and Italy and Germany [four (...) essays]. Anthony Grafton and John Salmon provide an introduction, and the volume concludes with a bibliography of Donald Kelley's many works. Historians and Ideologues is designed for those with an interest in the contribution of historiography to political thought, and will be a timely addition to the growing reaction against the postmodern scepticism in historiographical research in this field. Contributors include Ann Blair, Julian Franklin, Kathleen Parrow, David Harris Sacks, Sarah Hanley, Daniel Woolf, Gordon Schochet, Joseph Levine, John Pocock, Perez Zagorin, William Connell, Donald Phillip Verene, and Michael Carhart. Anthony Grafton is a Professor in the Department of History at Princeton University. John Salmon is the Marjorie Walter Goodheart Emeritus Professor of History at Bryn Mawr College. (shrink)

In this paper, we build on earlier work by Standefer (Logic J IGPL 27(4):543–569, 2019) in investigating extensions of substructural logics, particularly relevant logics, with the machinery of justification logics. We strengthen a negative result from the earlier work showing a limitation with the canonical model method of proving completeness. We then show how to enrich the language with an additional operator for implicit commitment to circumvent these problems. We then extend the logics with axioms for D, 4, and 5, (...) which requires additional justification term operators, following the work of Pacuit (in proceedings of the fifth panhellenic logic symposium, 2005) and Rubtsova (in Grigoriev D, Harrison J (eds) Computer science—theory and applications, CSR 2006; J Logic Comput 16(5):671–684, 2006), and present the required modifications to the frame semantics. We present a simplification of the neighborhood frames from the earlier work and we close by investigating the distinctive contribution of the + operator to the logic. (shrink)

Justification logics provide frameworks for studying the fine structure of evidence and justification. Traditionally, these logics do not impose any closure requirements on justification. In this paper, we argue that for some applications they should subject justification to closure under some variety of logical consequence. Specifically, we argue, building on ideas from Beall, that the non-classical logic FDE offers a particularly attractive notion of consequence for this purpose and define a justification logic where justification is closed under FDE consequence. We (...) show the resulting logic to be sound and complete. Lastly, we discuss how the closure of justification under FDE ontrasts closure under related non-classical logics and how our approach contrasts with some alternatives. (shrink)

How do we know what an amoeba looks like? How can doctors see the details of our skeletons and internal organs? All of these things are made possible through the innovations of photography. The author provides a primer on the applications of photography to science as she explores the multiple facets of this complex relationship.

This article examines how facial recognition technology reshapes the philosophical debate over the ethics of video surveillance. When video surveillance is augmented with facial recognition, the data collected is no longer anonymous, and the data can be aggregated to produce detailed psychological profiles. I argue that – as this non-anonymous data of people’s mundane activities is collected – unjust risks of harm are imposed upon individuals. In addition, this technology can be used to catalogue all who publicly participate in political, (...) religious, and socially stigmatised activities, and I argue that this would undermine central interests of liberal democracies. I examine the degree to which the interests of individuals and the societal interests of liberal democracies to maintain people’s obscurity while in public coincide with privacy interests, as popularly understood, and conclude that there is a practical need to articulate a novel right to obscurity to protect the interests of liberal democratic societies. (shrink)

Attention to care in modern society has fallen out of view as an ethos of personal responsibility, free markets, and individualism has been in the ascendant. The Liberalism of Care argues that contemporary liberalism is suffering from a crisis of care, manifest in a decaying sense of collective political responsibility for citizens' well- being and for the most vulnerable members of our communities. The book maintains that this practical crisis stems from a theoretical one. We have lost the political language (...) of care, which, prior the 19th century, was commonly used to express these dimensions of political life. To recover that language, Shawn C. Fraistat turns to three prominent philosophers-Plato, Jean-Jacques Rousseau, and William Godwin-who illuminate the varied ways caring language and caring values have structured core debates in the history of Western political thought about the proper role of government, as well as the rights and responsibilities of citizens. The Liberalism of Care presents a distinctive vision for our liberal politics where political communities and citizens can utilize the ethic and practices of care to face practical challenges. (shrink)

We present an extension of the basic revision theory of circular definitions with a unary operator, □. We present a Fitch-style proof system that is sound and complete with respect to the extended semantics. The logic of the box gives rise to a simple modal logic, and we relate provability in the extended proof system to this modal logic via a completeness theorem, using interpretations over circular definitions, analogous to Solovay’s completeness theorem forGLusing arithmetical interpretations. We adapt our proof to (...) a special class of circular definitions as well as to the first-order case. (shrink)

Intentional action is often accompanied by knowledge of what one is doing—knowledge which appears non-observational and non-inferential. G.E.M. Anscombe defends the stronger claim that intentional action always comes with such knowledge. Among those who follow Anscombe, some have altered the features, content, or species of the knowledge claimed to necessarily accompany intentional action. In this paper, I argue that there is no knowledge condition on intentional action, no matter the assumed features, content, or species of the knowledge. Further, rather than (...) follow the usual methodology in this debate of arguing by counterexample, I present an argument that explains why we continue to find counterexamples: intentional action and knowledge are regulated by thresholds under distinct pressures; in particular, the threshold of control regulating intentional action is disparately influenced by the role of intentional action in practical normativity. (shrink)

Growth in CSR-washing claims in recent decades has been dramatic in numerous academic and activist contexts. The discourse, however, has been fragmented, and still lacks an integrated framework of the conditions necessary for successful CSR-washing. Theorizing successful CSR-washing as the joint occurrence of five conditions, this paper undertakes a literature review of the empirical evidence for and against each condition. The literature review finds that many of the conditions are either highly contingent, rendering CSR-washing as a complex and fragile outcome. (...) This finding runs counter to the dominant perception in the general public, among activists, and among a vocal contingent of academics that successful CSR-washing is rampant. (shrink)

How do adolescent girls envision the world of work and their potential place in it? This article considers teen magazines as a possible source for girls’ perceptions about the work world, including their own career futures. The author explores the occupational landscape embedded with in Seventeen magazinein 1992 in both quantitative and qualitative terms. The labor market in Seventeen-land is heavily skewed toward professional occupations, particularly in the entertainment industry. A close reading of the text reveals four primary messages about (...) the world of work: Entertainment careers are a viable and prestigious option, men are the norm as workers, men hold the power, and fashion modeling is the pinnacle of “women’s work. ” The author argues that Seventeen may be promulgating a distinct set of what Collins called “controlling images” directed at predominantly white girls. The findings suggest gender researchers should attend to the connection between the mass media and girl culture. They also underscore the importance of teaching media literacy. (shrink)

BackgroundRecent advancements in neuroscientific techniques have allowed us to make huge progress in our understanding of memories, and in turn has paved the way for new memory modification technologies that can modulate memories with a degree of precision, which was not previously possible. With advancements in such techniques, new and critical ethical questions have emerged. Understanding and framing these ethical questions within the current philosophical theories is crucial in order to systematically examine them as we translate these techniques to the (...) clinic.Main bodyIn this paper, we discuss the ethical implications of modern neuroscience techniques that aim to disrupt or enhance memories. We attempt to frame the MMTs in the context of existing ethical philosophical theories to provide a cohesive analysis of the myriad of ethical quagmires that might emerge from such technologies. We argue the application of Aristotle’s Golden Mean and multiple accounts of authenticity are useful in approaching the ethical questions surrounding MMTs. We then propose a framework in which ethical considerations can be systematically examined. Lastly, we provide caveats and considerations for the use of this framework. Overall, we provide a practical approach for the ethical use of MMTs depending on the situation.ConclusionWhile at face value, our model appears to put severe limitations on the application of MMTs, we are not completely opposed to their use, but rather our framework guides the agent to consider the implications before making any decisions. Most importantly, we argue that the use of MMTs does not reduce the responsibility of the initial decision, and the agent must accept the post-MMT self as the new “true self” regardless of the outcome. As the developmental trajectory of MMTs suggests we are getting closer to practical clinical applications, ethical concerns across a wide range of disciplines need to be addressed to develop best strategies and policies when dealing with MMTs. If this can be achieved, we believe the ethical use of MMTs is not only possible but would also be of tremendous benefit to many people suffering from memory-related mental disorders. (shrink)

In relevant logics, necessary truths need not imply each other. In justification logic, necessary truths need not all be justified by the same reason. There is an affinity to these two approaches that suggests their pairing will provide good logics for tracking reasons in a fine-grained way. In this paper, I will show how to extend relevant logics with some of the basic operators of justification logic in order to track justifications or reasons. I will define and study three kinds (...) of frames for these logics. For the first kind of frame, I show soundness and highlight a difficulty in proving completeness. This motivates two alternative kinds of frames, with respect to which completeness results are obtained. Axioms to strengthen the justification logic portions of these logics are considered. I close by developing an analogy between the dot operator of justification logic and theory fusion in relevant logics. (shrink)

Various theorists have endorsed the “communication argument”: communicative capacities are necessary for morally responsible agency because blame aims at a distinctive kind of moral communication. I contend that existing versions of the argument, including those defended by Gary Watson and Coleen Macnamara, face a pluralist challenge: they do not seem to sit well with the plausible view that blame has multiple aims. I then examine three possible rejoinders to the challenge, suggesting that a context-specific, function-based approach constitutes the most promising (...) modification of the communication argument. (shrink)

There is a well-known equivalence between avoiding accuracy dominance and having probabilistically coherent credences (see, e.g., de Finetti 1974, Joyce 2009, Predd et al. 2009, Pettigrew 2016). However, this equivalence has been established only when the set of propositions on which credence functions are defined is finite. In this paper, I establish connections between accuracy dominance and coherence when credence functions are defined on an infinite set of propositions. In particular, I establish the necessary results to extend the classic accuracy (...) argument for probabilism to certain classes of infinite sets of propositions including countably infinite partitions. (shrink)

In this paper, I motivate the addition of an actuality operator to relevant logics. Straightforward ways of doing this are in tension with standard motivations for relevant logics, but I show how to add the operator in a way that permits one to maintain the intuitions behind relevant logics. I close by exploring some of the philosophical consequences of the addition.

In this paper, I introduce the notion of ‘philosophy moves’: prominent tropes featured in contemporary academic philosophy. Moves are more than patterns – they are tools for advancing and enriching philosophical debates. By recognizing these patterns in the philosophical literature, we collect an ensemble of moves for deployment in novel contexts, each with the potential to forge new paths of philosophical investigation through a given topic. The moves featured in this paper are constructive and progressive, with the potential to push (...) past stalemates and open up a wider conceptual landscape. Following a presentation of five exemplars taken from the philosophy of biology literature, I show how different moves could be made within a current interdisciplinary debate. Overall, I aim to demonstrate that recognizing these patterns is insightful pedagogically and potentially useful when put to use as part of one’s philosophical methodology. (shrink)

This study examines employee perceptions on the effective adoption of artificial intelligence principles in their organizations. 49 interviews were conducted with employees of 24 organizations across 11 countries. Participants worked directly with AI across a range of positions, from junior data scientist to Chief Analytics Officer. The study found that there are eleven components that could impact the effective adoption of AI principles in organizations: communication, management support, training, an ethics office, a reporting mechanism, enforcement, measurement, accompanying technical processes, a (...) sufficient technical infrastructure, organizational structure, and an interdisciplinary approach. The components are discussed in the context of business code adoption theory. The findings offer a first step in understanding potential methods for the effective adoption of AI principles in organizations. (shrink)

We argue that subjective Bayesians face a dilemma: they must offend against the spirit of their permissivism about rational credence or reject the principle that one should avoid accuracy dominance.

Relevant logics are a family of non-classical logics characterized by the behavior of their implication connectives. Unlike some other non-classical logics, such as intuitionistic logic, there are multiple philosophical views motivating relevant logics. Further, different views seem to motivate different logics. In this article, we survey five major views motivating the adoption of relevant logics: Use Criterion, sufficiency, meaning containment, theory construction, and truthmaking. We highlight the philosophical differences as well as the different logics they support. We end with some (...) questions for future research. (shrink)

The operational semantics of Urquhart is a deep and important part of the development of relevant logics. In this paper, I present an overview of work on Urquhart’s operational semantics. I then present the basics of collection frames. Finally, I show how one kind of collection frame, namely, functional set frames, is equivalent to Urquhart’s semilattice semantics.

Some actions we perform “just like that” without taking a means, e.g., raising your arm or wiggling your finger. Other actions—the nonbasic actions—we perform by taking a means, e.g., voting by raising your arm or illuminating a room by flipping a switch. A nearly ubiquitous view about nonbasic action is that one's means to a nonbasic action constitutes the nonbasic action, as raising your arm constitutes voting or flipping a switch constitutes illuminating a room. In this paper, I challenge this (...) view. I argue that one's means to a nonbasic action can cause rather than constitute it. In the process, we gain a clearer understanding of the scope of our agency—one that includes mental actions such as judgment and decision—and the pluralistic nature of basic features of action including control, purposefulness, and agent participation. (shrink)

An important question for proponents of non-contractive approaches to paradox is why contraction fails. Zardini offers an answer, namely that paradoxical sentences exhibit a kind of instability. I elaborate this idea using revision theory, and I argue that while instability does motivate failures of contraction, it equally motivates failure of many principles that non-contractive theorists want to maintain.

This book examines influential conceptions of sport and then analyses the interplay of challenging borderline cases with the standard definitions of sport. It is meant to inspire more thought and debate on just what sport is, how it relates to other activities and human endeavors, and what we can learn about ourselves by studying sport.

Robust metanormative realists think that there are irreducibly normative, metaphysically heavy normative facts. One might wonder how we could be epistemically justified in believing that such facts exist. In this paper, I offer an answer to this question: one’s belief in the existence of robustly real normative facts is epistemically justified because so believing is indispensable to being a successful inquirer for creatures like us. The argument builds on Enoch's (2007, 2011) deliberative indispensability argument for Robust Realism but avoids relying (...) on an overly pragmatic account of the sources of basic epistemic justification. Instead, I suggest that the sources of basic epistemic justification are those belief-forming methods which are indispensable for zetetically indispensable projects, that is, projects which are constitutive of being a successful inquirer for embodied, agential creatures like ourselves. (shrink)

David Kelley presents empirical evidence of the welfare state’s effects on behavior, historical research on the origins of the welfare state, and philosophical clarification of such core ideas as freedom and rights. After a careful examination of the various arguments made on behalf of welfare rights, Kelley concludes that “the concept of welfare rights is invalid.”.

In this paper, I examine the ethics of nonviolent protest when a violent response is either foreseen or intended. One central concern is whether protesters, who foresee a violent response but persist, are provoking the violence and whether they are culpable for any eventual harms. A second concern is whether it is permissible to publicize the violent response for political advantage. I begin by distinguishing between two senses of the term provoke: a normative sense where a provocateur knowingly imposes an (...) unjustified risk of a violent response, and a descriptive sense where the respondent feels provoked. I argue that, when the risk of a violent response is justified, the protesters are not provocateurs but akin to nonculpable, entrapping agents who create an opportunity for the regime to respond with disproportionate violence. The regime’s response can disclose its brutality or criminality and this can be fairly publicized for political advantage. When nonviolent protesters create an unjustified risk of violence either because the injustice they oppose is insufficient to justify the risk of a violent response or because the risked harms are disproportionate with the likely political advantages derived from the protest, they are partially culpable provocateurs. However, I argue these partially culpable provocateurs can still permissibly publicize the disproportionate violence of the regime so as to shape public opinion. (shrink)

This paper will develop ideas from [44]. We will generalize their work in two directions. First, we provide axioms for justification logics over the base logic B and show that the logic permits a proof of the internalization theorem. Second, we provide alternative frames that more closely resemble the standard versions of the ternary relational frames, as well as a more general approach to the completeness proof. We prove that soundness and completeness hold for justification logics over a wide variety (...) of base logics. Finally, we will strengthen Belnap’s variable sharing for the justification logic context, demonstrating that the justifications are properly relevant justifications. (shrink)

In this paper, an incompleteness theorem for modal extensions of relevant logics is proved. The proof uses elementary methods and builds upon the work of Fuhrmann.

Mares and Goldblatt, 163–187, 2006) provided an alternative frame semantics for two quantified extensions of the relevant logic R. In this paper, I show how to extend the Mares-Goldblatt frames to accommodate identity. Simpler frames are provided for two zero-order logics en route to the full logic in order to clarify what is needed for identity and substitution, as opposed to quantification. I close with a comparison of this work with the Fine-Mares models for relevant logics with identity and a (...) discussion of constant and variable domains. (shrink)

Few debates in environmental philosophy have been more heated than the one over the nature of wilderness. And yet, when one surveys the present scene, one finds that a variety of different conceptions of wilderness are still quite popular – some more so in certain professions than others. In this paper, I look at three popular conceptions of wilderness with an eye toward sussing out the good and the bad them. I look at what I call (1) the folk view (...) of wilderness, (2) Leopold’s conception of wilderness, and (3) the legal conception of wilderness (as found in the Wilderness Act of 1964). In the final part of the paper, I sketch out a sort of spectrum account of wilderness, one that I argue allows us to capture more cases of wilderness and might serve as a useful tool in future conservation efforts. (shrink)

This article examines selected texts in which Martin Heidegger thematizes the ontology of images, in order to adduce a view of how he under­stands their merits and limitations. I am primarily interested in the images seen in art works, especially those in film and photography, given Heidegger’s strong criticism of the latter alongside other 20th-century communicative media. The goal of the article is not to determine what is Heidegger’s central or overall position regarding images, as it is not clear that (...) he has such a position. Rather, the goal is to analyze how his various statements on images, as well as imagination, fit together. I contrast Heidegger’s critical views in “The Age of the World Picture” with other texts in which he describes images more favorably. I also devote some space to texts in which Heidegger treats imagination and the origin of images more broadly. (shrink)

This article responds to critical views of John Rhym, Martin Rossouw, Ludo de Roo, and Annie Sandrussi on my 2017 book Phenomenology of Film: A Heideggerian Account of the Film Experience. The article also takes up positive footholds from the analyses of Chiara Quaranta and Jason Wirth. The main topics addressed include Martin Heidegger’s ontic-ontological distinction; the notion of film-as-philosophy; being-in-the-world read as being-in-the-film-world; and questions surrounding the facticity and identity of the film viewer.

We conducted focus groups to assess patient attitudes toward research on medical practices in the context of usual care. We found that patients focus on the implications of this research for their relationship with and trust in their physicians. Patients view research on medical practices as separate from usual care, demanding dissemination of information and in most cases, individual consent. Patients expect information about this research to come through their physician, whom they rely on to identify and filter associated risks. (...) In general, patients support this research, but worry that participation in research involving randomization may undermine individualized care that acknowledges their unique medical histories. These findings suggest the need for public education on variation in practice among physicians and the need for a collaborative approach to the governance of research on medical practices that addresses core values of trust, transparency, and partnership. (shrink)

In a postscript to the second edition, Kelley reviews the growth in Objectivist scholarship and the influence of Rand's ideas over the past decade." "The Contested Legacy of Ayn Rand is an engaging introduction to the Objectivist movement, its core ideas, and its central fissures. At the same time, it offers a case study in the sociology of intellectual movements and a frank discussion of the issues that arise whenever thinkers leave their studies to promote their ideas in the (...) public realm."--BOOK JACKET. (shrink)

It is widely agreed that reactive attitudes play a central role in our practices concerned with holding people responsible. However, it remains controversial which emotional attitudes count as reactive attitudes such that they are eligible for this central role. Specifically, though theorists near universally agree that guilt is a reactive attitude, they are much more hesitant on whether to also include shame. This paper presents novel arguments for the view that shame is a reactive attitude. The arguments also support the (...) view that shame is a reactive attitude in the sense that concerns moral accountability. The discussion thereby challenges both the view that shame is not a reactive attitude at all, suggested by philosophers such as R. Jay Wallace and Stephen Darwall, and the view that shame is a reactive attitude but does not concern moral accountability, recently defended by Andreas Carlsson and Douglas Portmore. (shrink)

Environmental philosophy plays an important role, directly and indirectly, in many parts of society, including land and wildlife management (Leopold, 1949; Minteer, 2015), political activism (Abbey, 1968; Malm, 2020),and technological research and development (Baum & Owe, 2022; Donhauser et al., 2021). Environmental philosophy uncovers the ethical relationships existing between humans and the living and non-living world. It reveals the nuances of our scientific ecological concepts. And it tries to tell us how we might act – individually or collectively – to (...) better achieve our environmental goals. The aim of this special issue is to explore the limits and ever-expanding outer edges of this increasingly important area of philosophical thought. (shrink)

According to the response-dependence view of moral responsibility, a person is morally responsible just in case, and in virtue of the fact that, she is an appropriate target for reactive attitudes. This paper raises a new puzzle regarding response-dependence: there is a mismatch between the granularity of the reactive attitudes and of responsibility facts. Whereas the reactive attitudes are comparatively coarse-grained, responsibility facts can be quite fine-grained. This poses a challenge for response-dependence, which seeks to ground facts about responsibility in (...) facts about the reactive attitudes. Specifically, reactive attitudes are not enough for grounding facts about degrees of moral responsibility. The responsedependence view thus requires significant revisions or supplementations. (shrink)

One of the many claims about the value of local food is that local food exchanges generate trust between producers and consumers. To what degree is this actually the case and how does such trust develop? Drawing on interview and fieldwork data in one local food system in the Northeastern U.S., I show how local food participants build trust and reciprocity with one another in order to mitigate the challenges imposed by the conventional system. This trust and reciprocity builds primarily (...) through three mechanisms: reliable, positive relationships; demonstrations of good will toward one another; and a shared understanding of the value of locally-oriented food. Through these mechanisms, local food operators are able to build a healthy, stable local food system, able to better resist the pressures of the conventional system in which it must continually operate. (shrink)