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)

The ability to reason and think in a logical manner forms the basis of learning for most mathematics, computer science, philosophy and logic students. Based on the author's teaching notes at the University of Maryland and aimed at a broad audience, this text covers the fundamental topics in classical logic in an extremely clear, thorough and accurate style that is accessible to all the above. Covering propositional logic, first-order logic, and second-order logic, as well as proof theory, computability theory, and (...) model theory, the text also contains numerous carefully graded exercises and is ideal for a first or refresher course. (shrink)

Discusses contemporary notions of the self, and examines their origins, development, and effects.

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)

This is a major and comprehensive study of the philosophy of Hegel, his place in the history of ideas, and his continuing relevance and importance. Professor Taylor relates Hegel to the earlier history of philosophy and, more particularly, to the central intellectual and spiritual issues of his own time. He engages with Hegel sympathetically, on Hegel's own terms and, as the subject demands, in detail. This important book is now reissued with a fresh new cover.

In this article, we present a definition of a hyperintensionality appropriate to relevant logics. We then show that relevant logics are hyperintensional in this sense, drawing consequences for other non-classical logics, including HYPE and some substructural logics. We further prove results concerning extensionality in relevant logics. We close by discussing related concepts for classifying formula contexts and potential applications of these results.

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)

The discussion of good and evil must not be confined to the sterile lecture halls of academics but related instead to ordinary human feelings, needs, and desires, says noted philosopher Richard Taylor. Efforts to understand morality by exploring human reason will always fail because we are creatures of desire as well. All morality arises from our intense and inescapable longing. The distinction between good and evil is always clouded by rationalists who convert the real problems of ethics into complex (...) philosophical puzzles. In the first part of Good and Evil, Taylor looks for a more meaningful conception by reexamining and rejecting the whole rationalistic tradition that dominates philosophical ethics. The second part provides an empirical explanation of good and evil, noting that one does not have to look too far to find prime examples of the failure of fixed moral rules. Including important commentary on Joseph Fletcher's groundbreaking situation ethics, and Aristotle's virtues (e.g., magnanimity and pride), Taylor rounds out the book by developing a philosophy of aspiration--personal worth as an ethical ideal--to replace the morality of duty. He offers a modified form of situation ethics to fit the contemporary problems we face. (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)

Manipulation cases have figured prominently in philosophical debates about whether moral responsibility is in some sense deeply historical. Meanwhile, some philosophers have thought that folk thinking about manipulated agents may shed some light on the various argumentative burdens facing participants in that debate. This paper argues that folk thinking is, to some extent, deeply historical. Across three experiments, it is shown that a substantial number of participants did not attribute moral responsibility to agents with manipulation in their histories. The results (...) of these experiments challenge previous research indicating that folk thinking is not historicist. To the extent that folk thinking is relevant to philosophical debates about the nature of moral responsibility, the results helpfully illuminate the dialectical burdens facing competing conceptions of responsible agency. The present research also adds to the psychological literature by elucidating how lay conceptions of about free will and personal identity predict folk historicism. (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)

The vast literature on negative treatment of outgroups and favoritism toward ingroups provides many local insights but is largely fragmented, lacking an overarching framework that might provide a unified overview and guide conceptual integration. As a result, it remains unclear where different local perspectives conflict, how they may reinforce one another, and where they leave gaps in our knowledge of the phenomena. Our aim is to start constructing a framework to help remedy this situation. We first identify a few key (...) ideas for creating a theoretical roadmap for this complex territory, namely the principles of etiological functionalism and the dual inheritance theory of human evolution. We show how a “molecular” approach to emotions fits into this picture, and use it to illuminate emotions that shape intergroup relations. Finally, we weave the pieces together into the beginnings of a systematic taxonomy of the emotions involved in social interactions, both hostile and friendly. While it is but a start, we have developed the argument in a way that illustrates how the foundational principles of our proposed framework can be extended to accommodate further cases. (shrink)

In this paper, I develop some internal problems with Alvin Plantanga's proper functionalist epistemology. I focus on: (1) how we know that a belief is the result of proper function and the special difficulties this occasions for religious beliefs; (2) what a properly functioning person should believe in various circumstances, and (3) the problem of design -- whether the claim that God designed us can be reconciled with the claim that He was subject to trade-offs, compromises and unintended by-products. These (...) serious internal problems cast doubt upon proper functionalism's fruitfulness as a theory of knowledge. (shrink)

Manipulation cases have figured prominently in philosophical debates about whether moral responsibility is in some sense deeply historical. Meanwhile, some philosophers have thought that folk thinking about manipulated agents may shed some light on the various argumentative burdens facing participants in that debate. This paper argues that folk thinking is, to some extent, historical. Across three experiments, a substantial number of participants did not attribute moral responsibility to agents with manipulation in their histories. The results of these experiments challenge previous (...) research indicating that folk thinking is not historicist. Furthermore, perceptions of reduced free will, but not of a change in personal identity of the agent, account for the attenuation of moral responsibility when the agent was manipulated. To the extent that folk thinking is relevant to philosophical debates about the nature of moral responsibility, the results helpfully illuminate the dialectical burdens facing competing conceptions of responsible agency. (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)

The place of religion in society has changed profoundly in the last few centuries, particularly in the West. In what will be a defining book for our time, Taylor takes up the question of what these changes mean, and what, precisely, happens when a society becomes one in which faith is only one human possibility among others.

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)

Translating current research into accessible terms, Taylor discusses the brain's electrical and chemical processes, amnesia, mystical states, and multiple personality and the nature of dreaming, memory, pain, and intelligence.

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)

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)

Introduction to Hegel's thought for the student and general reader, emphasizing in particular his social and political thought and his continuing relevance to contemporary problems.

Gilroy and Wade wrote 20 years ago that every policy presupposes an underlying moral argument that justifies it. This claim is now rarely contested: policy making is an inescapably moral enterprise...

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)

When artificial intelligence (AI) is used to make high-stakes decisions, some worry that this will create a morally troubling responsibility gap—that is, a situation in which nobody is morally responsible for the actions and outcomes that result. Since the responsibility gap might be thought to result from individuals lacking knowledge of the future behavior of AI systems, it can be and has been suggested that deploying explainable artificial intelligence (XAI) techniques will help us to avoid it. These techniques provide humans (...) with certain forms of understanding of the systems in question. In this paper, I consider whether existing XAI techniques can indeed close the responsibility gap. I identify a number of significant limits to their ability to do so. Ensuring that responsibility for AI-assisted outcomes is maintained may require using different techniques in different circumstances, and potentially also developing new techniques that can avoid each of the issues identified. (shrink)

Recent develops in AI technology have led to increasingly sophisticated forms of video manipulation. One such form has been the advent of deepfakes. Deepfakes are AI-generated videos that typically depict people doing and saying things they never did. In this paper, I demonstrate that there is a close structural relationship between deepfakes and more traditional fake barn cases in epistemology. Specifically, I argue that deepfakes generate an analogous degree of epistemic risk to that which is found in traditional cases. Given (...) that barn cases have posed a long-standing challenge for virtue-theoretic accounts of knowledge, I consider whether a similar challenge extends to deepfakes. In doing so, I consider how Duncan Pritchard’s recent anti-risk virtue epistemology meets the challenge. While Pritchard’s account avoids problems in traditional barn cases, I claim that it leads to local scepticism about knowledge from online videos in the case of deepfakes. I end by considering how two alternative virtue-theoretic approaches might vindicate our epistemic dependence on videos in an increasingly digital world. (shrink)

As local food activities expand and grow, an important question to answer is how various participants contribute to a local food system’s overall vitality and strength. This paper does so by focusing on the relationships between locally-oriented farm and retail actors and assessing what the configuration of these relationships tells us about the workings of the broader local food system. Such an analysis reveals two things. Empirically, it shows the important role food retailers play in the overall vibrancy of local (...) food exchanges: food retailers form crucial links holding the broader system together and significantly expanding consumer access to local foods. Further, different retailer types have distinct impacts on network configurations, each serving particular roles in the development and maintenance of local food systems. Methodologically, this paper shows the value of applying social network analysis techniques to the study of local food systems: such an approach yields insights that may not be as readily assessable from other strategies. In this paper, I overview common network analysis techniques and apply them to a case study of local food activities in New England, suggesting how such an approach might be applied to local food systems in other places. (shrink)

I argue that wrong of plagiarism does not primarily stem from the plagiarist’s illicit misappropriation of academic credit from the person she plagiarized. Instead, plagiarism is wrongful to the degree to which it runs counter to the purpose of academic work. Given that this is to increase knowledge and further understanding plagiarism will be wrongful to the extent that it impedes the achievement of these ends. This account of the wrong of plagiarism has two surprising (and related) implications. First, it (...) follows from this account of the wrong of plagiarism that replication plagiarism might not be an academic wrong at all. (Replication plagiarism consists of the direct quotation or paraphrase of another’s work without attribution. The replication plagiarist thus plagiarizes primary sources, purloining for her own benefit the ideas of their authors). Second, even if replication plagiarism is still held to be an academic wrong, it will be a lesser wrong than bypass plagiarism. (Bypass plagiarism occurs when one quotes from, or provides a paraphrase of, a primary source, but although one cites the primary source one did not identify the quotation or provide the initial paraphrase oneself. Instead, one took the quotation, or drew upon an existing paraphrase, from a secondary source—and one did so without citing the secondary source to credit it as the source of one’s information about the primary source). Holding that bypass plagiarism is worse than replication plagiarizes reverses the usual assessment of the relative wrong of these two types of plagiarism. (shrink)

This paper addresses the question of how local can be defined in practice. It contributes to the growing literature on local food systems and particularly our understanding of what counts as local and the elements that influence those contours. While most of our conceptions of local food tend to rely on an articulation of either proximity traveled or relationship between entities, I argue that a more nuanced and complete understanding must take account of both of these aspects. I draw on (...) a dataset of locally oriented farm and food-related establishments in southern New England to identify how far local food travels in this region and how interconnected local food establishments are with one another and use these and other measures to tease out the tension between proximity and relationship as measures of local. I find that these two aspects not only are connected to each other in a complex dynamic, but also are bound up with other structural factors as well. (shrink)

What is democracy really? What do we mean when we use the term? And can it ever truly exist? Astra Taylor, hailed as a "New Civil Rights Leader" (LA Times), provides surprising answers. There is no shortage of democracy, at least in name, and yet it is in crisis everywhere we look. From a cabal of thieving plutocrats in the White House to campaign finance and gerrymandering, it is clear that democracy--specifically the principle of government by and for the (...) people--is not living up to its promise. In Democracy Might Not Exist, Astra Taylor shows that real democracy--fully inclusive and completely egalitarian--has in fact never existed. In a tone that is both philosophical and anecdotal, weaving together history, theory, the stories of individuals, and interviews with such leading thinkers as Cornel West, Danielle Allen, and Slavoj Zizek, Taylor invites us to reexamine the term. Is democracy a means or an end, a process or a set of desired outcomes? What if the those outcomes, whatever they may be--peace, prosperity, equality, liberty, an engaged citizenry--can be achieved by non-democratic means? Or if an election leads to a terrible outcome? If democracy means rule by the people, what does it mean to rule and who counts as the people? The inherent paradoxes are unnamed and unrecognized. By teasing them, Democracy Might not Exist offers a better understanding of what is possible, what we want, and why democracy is so hard to realize. (shrink)

Contemporary republicanism is characterized by three main ideas: free persons, who are not subject to the arbitrary power of others; free states, which try to protect their citizens from such power without exercising it themselves; and vigilant citizenship, as a means to limit states to their protective role. This book advances an economic model of such republicanism that is ideologically centre-left. It demands an exit-oriented state interventionism, one that would require an activist government to enhance competition and resource exit from (...) dominating relationships within markets of all types, be they marital, labour, or residential. The substantial intervention and redistribution necessitated by such an approach make it leftist, while its tendency to work with rather than against the grain of markets makes it centrist. It is, in short, a contribution to progressive republican political thought, but one that is less social-democratic than market-democratic in character. (shrink)

In this book Taylor brings together some of his best essays, including "Overcoming Epistemology," "The Validity of Transcendental Argument," "Irreducibly Social ...

This argument explores transcultural commonalities among civic arguments from divination in global antiquity. In the ancient world, proponents engaged in kisceral arguments deriving from divinatory signs: arguments ex divinatione regarding prospective civic action. Under ideal circumstances, their aim was to help insure that the collective action of human political organizations was aligned with the natural synchrony of the cosmos. Thus, civic arguments from divination were employed to anticipate the future’s course based on the signs the system produced holistically. In ancient (...) Mesopotamia, China, and Rome, divination was employed as a tool for aligning the order of human society to that of a conception of metaphysical or cosmic order. By comparing these argumentative examples and rationales, we see a broader context for the way in which humans made arguments toward political futurity outside more conventional syllogistic formulations concerning causation. Rather, the argumentative strategies of many ancient cultures embraced an understanding of the future as the logical outcome of a holistic dynamism in kairotic time. (shrink)

A common refrain in and outside academia is that prominent sports figures ought to engage more in the public discourse about political issues. This idea parallels the idea that athletes ought to be role models in general. This paper first examines and critiques the “athlete as role model” argument and then applies this critique to the “athlete as political activist” argument. Appealing to the empirical political psychological literature, the paper sketches an argument that athlete activism might actually do more harm (...) than good. (shrink)

The notion of proof is central to mathematics yet it is one of the most difficult aspects of the subject to teach and master. In particular, undergraduate mathematics students often experience difficulties in understanding and constructing proofs. Understanding Mathematical Proof describes the nature of mathematical proof, explores the various techniques that mathematicians adopt to prove their results, and offers advice and strategies for constructing proofs. It will improve students’ ability to understand proofs and construct correct proofs of their own. The (...) first chapter of the text introduces the kind of reasoning that mathematicians use when writing their proofs and gives some example proofs to set the scene. The book then describes basic logic to enable an understanding of the structure of both individual mathematical statements and whole mathematical proofs. It also explains the notions of sets and functions and dissects several proofs with a view to exposing some of the underlying features common to most mathematical proofs. The remainder of the book delves further into different types of proof, including direct proof, proof using contrapositive, proof by contradiction, and mathematical induction. The authors also discuss existence and uniqueness proofs and the role of counter examples. (shrink)

Functionalist accounts of blame have been rising in popularity. Proponents of the approach claim that, by defining blame in terms of its function or functions, their account has the advantage of being able to accommodate a wide range of attitudes and activities as blame; but their opponents question the extensional and explanatory adequacy of such accounts. This paper contributes to this burgeoning literature by presenting new challenges to the existing functionalist accounts. The fundamental problem, I shall argue, lies in the (...) fact that they all focus on using functions to define blame as a type of practice, but this strategy fails to pick out a unique moral-psychological type and does not offer a complete set of extension-determining criteria for the concept of blame. This amounts to a serious theoretical disadvantage. I consider various responses to the challenges throughout the paper, concluding that the best reply available to the functionalist theorist involves using functions to directly define blame tokens. (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)

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)

My paper addresses a topic--the implications of Rawls's justice as fairness for affirmative action--that has received remarkably little attention from Rawls's major interpreters. The only extended treatments of it that are in print are over a quarter-century old, and they bear scarcely any relationship to Rawls's own nonideal theorizing. Following Christine Korsgaard's lead, I work through the implications of Rawls's nonideal theory and show what it entails for affirmative action: viz. that under nonideal conditions, aggressive forms of formal equality of (...) opportunity (e.g., sensitivity training, outreach efforts, external monitoring and enforcement) and compensating support (e.g., special fellowship programs, childcare facilities, mentoring, co-op opportunities, etc.) can be justified, but that "hard" and even "soft" quotas are difficult to defend under any conditions. I conclude the paper by exploring the implications of these surprising results for contemporary liberalism more broadly and for constitutional law and public policy. (shrink)