Nietzsche, in his work On the Genealogy of Morals, argues that human cognition is analogous in certain significant respects to the perspectival nature of optical vision. Because of this analogy, his account of human cognition is often referred to as perspectivism. Brian Leiter argues that Nietzsche’s use of this optical perspective metaphor undermines interpretations that take perspectivism to have radically skeptical implications. In this paper, I examine Leiter’s argument and show that the considerations he raises based on the optical perspective (...) metaphor are insufficient to undermine the claim that perspectivism entails radical skepticism. (shrink)

In this paper, we try to establish that some mathematical theories, like K-theory, homology, cohomology, homotopy theories, spectral sequences, modern Galois theory (in its various applications), representation theory and character theory, etc., should be thought of as (abstract) machines in the same way that there are (concrete) machines in the natural sciences. If this is correct, then many epistemological and ontological issues in the philosophy of mathematics are seen in a different light. We concentrate on one problem which immediately follows (...) the recognition of the particular status of these theories: the demarcation problem between ‘natural kinds’ and ‘artefacts’. (shrink)

In this paper, we look at Bourbaki’s work as a case study for the notion of mathematical style. We argue that indeed Bourbaki exemplifies a mathematical style, namely the structuralist style.

The aim of this paper is to clarify the role of category theory in the foundations of mathematics. There is a good deal of confusion surrounding this issue. A standard philosophical strategy in the face of a situation of this kind is to draw various distinctions and in this way show that the confusion rests on divergent conceptions of what the foundations of mathematics ought to be. This is the strategy adopted in the present paper. It is divided into 5 (...) sections. We first show that already in the set theoretical framework, there are different dimensions to the expression foundations of. We then explore these dimensions more thoroughly. After a very short discussion of the links between these dimensions, we move to some of the arguments presented for and against category theory in the foundational landscape. We end up on a more speculative note by examining the relationships between category theory and set theory. (shrink)

Symposium on Nietzsche's Constructivism (Routledge, 2018), replies to Adler, Cabrera, Doyle, Migotti, Sinhababu, Pedersen.

Benedict de Spinoza is one of the most controversial and enigmatic thinkers in the history of philosophy. His greatest work, Ethics (1677), developed a comprehensive philosophical system and argued that God and Nature are identical. His scandalous Theological-Political Treatise (1670) provoked outrage during his lifetime due to its biblical criticism, anticlericalism, and defense of the freedom to philosophize. Together, these works earned Spinoza a reputation as a singularly radical thinker. -/- In this book, Steinberg and Viljanen offer a concise and (...) up-to-date account of Spinoza’s thought and its philosophical legacy. They explore the full range of Spinoza’s ideas, from politics and theology to ontology and epistemology. Drawing broadly on Spinoza’s impressive oeuvre, they have crafted a lucid introduction for readers unfamiliar with this important philosopher, as well as a nuanced and enlightening study for more experienced readers. (shrink)

In this paper, I introduce the idea that some important parts of contemporary pure mathematics are moving away from what I call the extensional point of view. More specifically, these fields are based on criteria of identity that are not extensional. After presenting a few cases, I concentrate on homotopy theory where the situation is particularly clear. Moreover, homotopy types are arguably fundamental entities of geometry, thus of a large portion of mathematics, and potentially to all mathematics, at least according (...) to some speculative research programs. (shrink)

Fefermans argument is indeed convincing in a certain context, it can be dissolved entirely by modifying the context appropriately.

The three major classical accounts of the morality of abortion are all subject to at least one major problem. Can we do better? This article aims to discuss three accounts that purport to be superior to the classical accounts. First, it discusses the future of value argument for the immorality of abortion. It defends the claim that the future of value argument is superior to all three of the classical accounts. It then goes on to discuss Warren's attempt to fix (...) up her personhood account and David Boonin's attempt to fix up Tooley's desire account. Warren claims that her updated version of a personhood account is superior to any potentiality account, such as the future of value account. The article evaluates her claim. Boonin argues that his improved desire view both deals adequately with the apparent counterexamples to Tooley's original account and also is superior to the future of value account. The article evaluates his views as well. (shrink)

One of the standard puzzles in ordinary-object metaphysics concerns what happens when an object and one of its undetached parts apparently begin to coincide. I distinguish two versions of this puzzle: the problem of extraordinary undetached parts and the problem of ordinary undetached parts. Then I present a novel phasalist solution to the problem of ordinary undetached parts. My solution is designed to supplement the recently-defended view that ordinary undetached parts exist but extraordinary ones do not.

Margaret MacDonald (1907–56) was a central figure in the history of early analytic philosophy in Britain due to both her editorial work as well as her own writings. While her later work on aesthetics and political philosophy has recently received attention, her early writings in the 1930s present a coherent and, for its time, strikingly original blend of common-sense and scientific philosophy. In these papers, MacDonald tackles the central problems of philosophy of her day: verification, the problem of induction, and (...) the relationship between philosophical and scientific method. MacDonald’s philosophy of science starts from the principle that we should carefully analyse the elements of scientific practice (particularly its temporal features) and the ways that scientists describe that practice. That is, she applies the techniques of ordinary language philosophy to actual scientific language. MacDonald shows how ‘scientific common-sense’ is inconsistent with both of the dominant schools of philosophy of her day. Bringing MacDonald back into the story of analytic philosophy corrects the impression that in early analytic philosophy, there are fundamental dichotomies between the style of Moore and Wittgenstein, on the one hand, and the Vienna Circle on the other. (shrink)

ABSTRACT One simple but relatively neglected solution to the notorious coincidence puzzle of the statue and the piece of clay claims that the property of being a statue is a phase sortal property that the piece of clay instantiates temporarily. I defend this view against some standard objections, by reinforcing it with a novel counterpart-theoretic account of identity under a sortal. This proposal does not require colocation, four-dimensionalism, eliminativism, deflationism, or unorthodox theses about classical identity.

A promising but underexplored view about normative reasons is contrastivism, which holds that considerations are fundamentally reasons for things only relative to sets of alternatives. Contrastivism gains an advantage over non-contrastive theories by holding that reasons relative to different sets of alternatives can be independent of one another. But this feature also raises a serious problem: we need some way of constraining this independence. I develop a version of contrastivism that provides the needed constraints, and that is independently motivated by (...) the widespread idea that reasons involve the promotion of various kinds of objectives. (shrink)

Le réalisme scientifique occupe une place centrale dans le système philosophique de Mario Bunge. Au cœur de cette thèse, on trouve l’affirmation selon laquelle nous pouvons connaître le monde partiellement. Il s’ensuit que les théories scientifiques ne sont pas totalement vraies ou totalement fausses, mais plutôt partiellement vraies et partiellement fausses. Ces énoncés sur la connaissance scientifique, à première vue plausible pour quiconque est familier avec la pratique scientifique, demandent néanmoins à être clarifiés, précisés et, ultimement, à être inclus dans (...) un cadre théorique plus large et rigoureux. Depuis ses toutes premières publications sur ces questions et jusqu’à récemment, Mario Bunge n’a cessé d’interpeller les philosophes afin qu’ils développent une théorie, au sens propre du terme, de la vérité partielle afin de clarifier les enjeux épistémologiques liés au réalisme scientifique. Bunge a lui-même proposé plusieurs parties de cette théorie au fil des années, mais aucune de ces propositions ne l’a satisfait pleinement et la construction de cette théorie demeure un problème entier. Dans ce texte, nous passerons rapidement en revue certaines des approches proposées par Bunge dans ses publications et nous esquisserons certaines pistes qui devraient servir à tout le moins de desiderata pour la construction d’une théorie de la vérité partielle. (shrink)

Structuralism has recently moved center stage in philosophy of mathematics. One of the issues discussed is the underlying logic of mathematical structuralism. In this paper, I want to look at the dual question, namely the underlying structures of logic. Indeed, from a mathematical structuralist standpoint, it makes perfect sense to try to identify the abstract structures underlying logic. We claim that one answer to this question is provided by categorical logic. In fact, we claim that the latter can be seen—and (...) probably should be seen—as being a structuralist approach to logic and it is from this angle that categorical logic is best understood. (shrink)

Spinoza's account of belief entails that if A has two ideas, p and q, with incompatible content, A believes that p if the idea of p is stronger than the idea of q. This seems to leave little space for dominant non-beliefs, or cases in which there is discord between one's beliefs and one's affective-behavioral responses. And yet Spinoza does allow for two classes of dominant non-beliefs: efficacious fictions [fictiones] and ideas that conduce to akrasia. I show how Spinoza can (...) account for dominant non-beliefs within his model of cognition by distinguishing between the doxastic and the affective powers of ideas and by suggesting that doxastic power is best understood diachronically. While other scholars have stressed the elegance of Spinoza's account of ideas, this paper highlights the sophistication and flexibility of his account. (shrink)

Moral grandstanding is a pervasive feature of public discourse. Many of us can likely recognize that we have engaged in grandstanding at one time or another. While there is nothing new about the phenomenon of grandstanding, we think that it has not received the philosophical attention it deserves. In this essay, we provide an account of moral grandstanding as the use of public discourse for moral self-promotion. We then show that our account, with support from some standard theses of social (...) psychology, explains the characteristic ways that grandstanding is manifested in public moral discourse. We conclude by arguing that there are good reasons to think that moral grandstanding is typically morally bad and should be avoided. (shrink)

Decommodification is an important support for the development of our excellences and the pursuit of our freedom of conscience. In order to show this, the paper will be structured as follows. First, it will be argued that a decommodified social threshold of goods and services is a necessary part of a free-standing politically liberal conception of justice. The authors to be reviewed in this section are R.H. Tawney and John Rawls. The second section will discuss a compendium of possible decommodified (...) goods and services. Finally, an alternative of partial decommodification and a brief comment on basic income grants will be presented in the last sections. (shrink)

In this paper, following the claims made by various mathematicians, I try to construct a theory of levels of abstraction. I first try to clarify the basic components of the abstract method as it developed in the first quarter of the 20th century. I then submit an explication of the notion of levels of abstraction. In the final section, I briefly explore some of main philosophical consequences of the theory.

Much recent work on empathy assumes that one cannot give non-question-begging reasons for empathizing with others. In this article I argue that there are epistemic reasons for cultivating empathy. After sketching a brief general account of empathy, I proceed to argue that empathic information is user-friendly, fostering the achievement of widely held cognitive goals. It can also contribute to social knowledge and the satisfaction of democratic ideals. The upshot of my analysis is that there are strong, but defeasible, epistemic reasons (...) for empathizing with others. (shrink)

When speakers utter conflicting moral sentences, it seems clear that they disagree. It has often been suggested that the fact that the speakers disagree gives us evidence for a claim about the semantics of the sentences they are uttering. Specifically, it has been suggested that the existence of the disagreement gives us reason to infer that there must be an incompatibility between the contents of these sentences. This inference then plays a key role in a now-standard argument against certain theories (...) in moral semantics. In this paper, we introduce new evidence that bears on this debate. We show that there are moral conflict cases in which people are inclined to say both that the two speakers disagree and that it is not the case at least one of them must be saying something incorrect. We then explore how we might understand such disagreements. As a proof of concept, we sketch an account of the concept of disagreement and an independently motivated theory of moral semantics which, together, explain the possibility of such cases. (shrink)

In this paper, we argue that, contrary to the view held by most philosophers of mathematics, Bourbaki’s technical conception of mathematical structuralism is relevant to philosophy of mathematics. In fact, we believe that Bourbaki has captured the core of any mathematical structuralism.

Mechanisms, in the prominent biological sense of the term, are historical entities. That is, whether or not something is a mechanism for something depends on its history. Put differently, while your spontaneously-generated molecule-for-molecule double has a heart, and its heart pumps blood around its body, its heart does not have a mechanism for pumping, since it does not have the right history. My argument for this claim is that mechanisms have proper functions; proper functions are historical entities; so, mechanisms are (...) historical entities, too. This thesis runs against the mainstream new mechanist way of thinking about mechanisms, where mechanisms are generally thought of in an ahistorical way. After arguing for this thesis, I draw out some consequences for philosophy of science and metaphysics. (shrink)

One of the key features of modern mathematics is the adoption of the abstract method. Our goal in this paper is to propose an explication of that method that is rooted in the history of the subject.

此研究的目的是論述在悲劇發生時哲學具作為慰藉手段的作用。西方哲學的羅馬希臘化時期，跨越了不同的哲學流派，蓬勃發展了一種被稱為“慰藉”（consolatione）的特殊哲學著作的文體。因此，哲學家和哲學 思想家撰寫了幾部名為“De consolatione”（On Consolation）的哲學著作，一直持續到中世紀，如波埃修斯（Boethius）的通俗著作“De Consolatione Philosophia”（On the Consolation of Philosophy）。在羅馬希臘化時期哲學家現存的著作中，塞內卡的著作可以說是最多且篇幅相當長，是寫給他所認識遭受悲劇的人的。因此，本文試圖在塞內卡的著作中探索這種特殊的哲學體裁—論慰藉。本文要探究 他如何使用這種哲學體裁來幫助遭受悲劇的人，特別是遭受親人的死亡，而獲得心靈的平靜與安寧。其目的是利用塞內卡關於“De Consolatione”的著作來反思世界各地許多遭受Covid-19 疫情帶來悲劇的人。即是證明和探索哲學思考在悲劇時的作用。這表明，哲學或哲學家不是悲劇時的無助旁觀者，而是與人類境遇具有生存相關性的活動。更具體一點，此論文的目的就是回答下面這個問題：哲學可以對超過四百 萬因爲疫情而直接死亡的人（不包括那些間接死亡的人）其遭受苦死的家人和朋友說些什麼？今天哲學家如何為因 Covid-19 疫情而遭受悲劇的人們帶來慰藉？此論文認為，哲學家塞內卡（Seneca）可以教今天的哲學家如何運用哲學作為處理當今悲劇的手段。因此，本文架構如下： 1. 塞內卡哲學的簡要闡述。 2. 論述慰藉之哲學文體。 3. 塞內卡《慰藉》著作的哲學論述。 4. 塞內卡思想對 Covid-19 疫情的反思。 5. 結論。.

This article presents a distinct sense of ‘mechanism’, which I call the functional sense of mechanism. According to this sense, mechanisms serve functions, and this fact places substantive restrictions on the kinds of system activities ‘for which’ there can be a mechanism. On this view, there are no mechanisms for pathology; pathologies result from disrupting mechanisms for functions. Second, on this sense, natural selection is probably not a mechanism for evolution because it does not serve a function. After distinguishing this (...) sense fromsimilar explications of ‘mechanism’, I argue that it is ubiquitous in biology and has valuable epistemic benefits. (shrink)

Categorical foundations and set-theoretical foundations are sometimes presented as alternative foundational schemes. So far, the literature has mostly focused on the weaknesses of the categorical foundations. We want here to concentrate on what we take to be one of its strengths: the explicit identification of so-called canonical maps and their role in mathematics. Canonical maps play a central role in contemporary mathematics and although some are easily defined by set-theoretical tools, they all appear systematically in a categorical framework. The key (...) element here is the systematic nature of these maps in a categorical framework and I suggest that, from that point of view, one can see an architectonic of mathematics emerging clearly. Moreover, they force us to reconsider the nature of mathematical knowledge itself. Thus, to understand certain fundamental aspects of mathematics, category theory is necessary (at least, in the present state of mathematics). (shrink)

American sociologist Robert Nisbet once described conservatives and libertarians as “uneasy cousins.” The description is apt. While sharing a family resemblance and many of the same political rivals, conservatism and libertarianism are fundamentally at odds. This paper explains why this is so from the conservative perspective. It surveys the starting points and major themes of conservatism and libertarianism. It identifies what conservatives and libertarians agree about. It concludes by showing what conservatives have against libertarianism.

Philosophers who study the problem of biological function often begin their deliberations by reflecting on the functions of parts of animals, or the behavior of animals. Applying theories of biological function to unconventional or borderline cases can help us to better evaluate and refine those theories. This is the case when we consider whether parts of transposable elements —bits of “selfish” DNA that move about within a host genome—have functions of their own, that is, whether the parts of TEs have (...) the function of helping the TE move about within the genome. Here I argue that whether or not the parts of TEs have functions depends crucially on whether collections of TEs form “populations,” by which I mean, here, a group of individuals of the same type that impact one another’s chances of persistence or multiplication, by impacting one another’s access to a shared resource. I think there is suggestive, but not conclusive, evidence that some TEs have functions of their own. Considering the problem of TE functionality, then, has value both for philosophy and for biology. (shrink)

In this paper, I explore Bunge’s fictionism in philosophy of mathematics. After an overview of Bunge’s views, in particular his mathematical structuralism, I argue that the comparison between mathematical objects and fictions ultimately fails. I then sketch a different ontology for mathematics, based on Thomasson’s metaphysical work. I conclude that mathematics deserves its own ontology, and that, in the end, much work remains to be done to clarify the various forms of dependence that are involved in mathematical knowledge, in particular (...) its dependence on mental/brain states and material objects. (shrink)

Spinoza's Ethics self-consciously follows the example of Euclid and other geometers in its use of axioms and definitions as the basis for derivations of hundreds of propositions of philosophical si...

Epistemicists claim that vague predicates have precise but unknow- able cutoffs. I argue against against the standard, Williamsonian, answer, that appeals to metalinguistic safety: we can know that p even if our true belief that p is metalinguistically lucky. I then propose that epistemicists should be diagonalized epistemicists and show how this alternative formulation of the view avoids the chal- lenge. However, in an M. Night Shyamalan-style twist, I then argue we should not be diagonalized epistemicists either.

How should ‘the physical’ be defined for the purpose of formulating physicalism? In this paper I defend a version of the via negativa according to which a property is physical just in case it is neither fundamentally mental nor possibly realized by a fundamentally mental property. The guiding idea is that physicalism requires functionalism, and thus that being a type identity theorist requires being a realizer-functionalist. In §1 I motivate my approach partly by arguing against Jessica Wilson's no fundamental mentality (...) constraint. In §2 I set out my preferred definition of ‘the physical’ and make my case that physicalism requires functionalism. In §3 I defend my proposal by attacking the leading alternative account of ‘the physical,’ the theory-based conception. Finally, in §4 I draw on my definition, together with Jaegwon Kim's account of intertheoretic reduction, to defend the controversial view that physicalism requires a priori physicalism. (shrink)

Scientists use models to know the world. It i susually assumed that mathematicians doing pure mathematics do not. Mathematicians doing pure mathematics prove theorems about mathematical entities like sets, numbers, geometric figures, spaces, etc., they compute various functions and solve equations. In this paper, I want to exhibit models build by mathematicians to study the fundamental components of spaces and, more generally, of mathematical forms. I focus on one area of mathematics where models occupy a central role, namely homotopy theory. (...) I argue that mathematicians introduce genuine models and I offer a rough classification of these models. (shrink)

Nietzsche appears antithetical to care ethics. He often mocks human dependency, for instance, sometimes in ways that appear sexist, and he famously challenges the legitimacy of compassion. Nietzsche’s positive ethical position is arguably some form of anti-egalitarian perfectionism which holds that goodness is constituted by individual human excellence. Perfectionism, however, coupled with a rejection of the ethical significance of dependency and virtues like compassion, can seem dangerous to modern sensibilities—especially to those in the care tradition. I think we should put (...) Nietzsche’s perfectionism to the test. In this chapter, I briefly explore whether Nietzsche’s perfectionism might not only be consistent with but possibly even support several core features of care ethics. (shrink)

One paradigmatic argument from evil against theism claims that, (1) if God exists, then there is no gratuitous evil. But (2) there is gratuitous evil, so (3) God does not exist. I consider three deontological strategies for resisting this argument. Each strategy restructures existing theodicies which deny (2) so that they instead deny (1). The first two strategies are problematic on their own, but their primary weaknesses vanish when they are combined to form the third strategy, resulting in a promising (...) new approach to the problem of evil. (shrink)

I present and defend the generalized selected effects theory (GSE) of function. According to GSE, the function of a trait consists in the activity that contributed to its bearer’s differential reproduction, or differential retention, within a population. Unlike the traditional selected effects (SE) theory, it does not require that the functional trait helped its bearer reproduce; differential retention is enough. Although the core theory has been presented previously, I go significantly beyond those presentations by providing a new argument for GSE (...) and defending it from a recent objection. I also sketch its implications for teleosemantics and philosophy of medicine. (shrink)

A common misunderstanding of the selected effects theory of function is that natural selection operating over an evolutionary time scale is the only functionbestowing process in the natural world. This construal of the selected effects theory conflicts with the existence and ubiquity of neurobiological functions that are evolutionary novel, such as structures underlying reading ability. This conflict has suggested to some that, while the selected effects theory may be relevant to some areas of evolutionary biology, its relevance to neuroscience is (...) marginal. This line of reasoning, however, neglects the fact that synapses, entire neurons, and potentially groups of neurons can undergo a type of selection analogous to natural selection operating over an evolutionary time scale. In the following, I argue that neural selection should be construed, by the selected effect theorist, as a distinct type of function-bestowing process in addition to natural selection. After explicating a generalized selected effects theory of function and distinguishing it from similar attempts to extend the selected effects theory, I do four things. First, I show how it allows one to identify neural selection as a distinct function-bestowing process, in contrast to other forms of neural structure formation such as neural construction. Second, I defend the view from one major criticism, and in so doing I clarify the content of the view. Third, I examine drug addiction to show the potential relevance of neural selection to neuroscientific and psychological research. Finally, I endorse a modest pluralism of function concepts within biology. (shrink)

A brief analysis of the conceptual form and applications of "metamodels". The main intent is to explore the consequences of treating knowledge models as objects in themselves, for the purpose of creating a subsequent model of those objects. This process is mirrored in the nature of category theory, which aims to treat mathematical systems and structures as point-like objects for the purpose of meta-analysis.

Both in everyday life and in moral philosophy, many think that our own past wrongdoing can undermine our standing to indignantly blame others for similar wrongdoing. In recent literature on the ethics of blame, we find two different kinds of explanation for this. Relative moral status accounts hold that to have standing to blame, you must be better than the person you are blaming, in terms of compliance with the norm. Fault-based accounts hold that those who blame others for things (...) of which they are also guilty exhibit familiar moral faults, such as making an exception of oneself, and that these faults explain why they lack standing. I argue in support of relative moral status accounts, showing that they both better trace our practice of dismissing blame on the basis of lack of standing, and that they have more explanatory resources than have been appreciated. (shrink)

The phasalist solution to the puzzle of the statue and the piece of clay claims that being a statue is a phase sortal property of the piece of clay, just like being a child is a phase sortal property of a human being. Some philosophers reject this solution because it cannot account for cases where the statue seems to gain and lose parts that the piece of clay does not. I rebut this objection by arguing, contrary to the prevailing view, (...) that the piece of clay is not mereologically constant and might even be highly mereologically flexible. (shrink)

Contrastivism about reasons is the view that ‘reason’ expresses a relation with an argument place for a set of alternatives. This is in opposition to a more traditional theory on which reasons are reasons for things simpliciter. I argue that contrastivism provides a solution to a puzzle involving reason claims that explicitly employ ‘rather than’. Contrastivism solves the puzzle by allowing that some fact might be a reason for an action out of one set of alternatives without being a reason (...) for that action out of a different set of alternatives. (shrink)

Nearly every common theory of truth has been attributed to Nietzsche, while some commentators have argued that he simply has no theory of truth. This essay argues that Nietzsche's remarks on truth are best situated within either the coherence or pragmatist theories of truth rather than the correspondence theory. Nietzsche's thoughts on truth conflict with the correspondence framework because he believes that the truth conditions of propositions are constitutively dependent on our actions.

Recent years have seen a Bayesian revolution in cognitive science. This should be of interest to metaphysicians of science, whose naturalist project involves working out the metaphysical implications of our leading scientific accounts, and in advancing our understanding of those accounts by drawing on the metaphysical frameworks developed by philosophers. Toward these ends, in this paper I develop a metaphysics of the Bayesian mind. My central claim is that the Bayesian approach supports a novel empirical argument for normativism, the thesis (...) that belief has a normative essence, with the norms in question being those of rationality. The argument I develop draws in part on the causal powers subset account of realization defended by Wilson and Shoemaker, with the link being that Bayesians often appeal to Marr’s framework of levels of analysis, which carries with it multiple realizability claims that can be understood in terms of the subset model. I then use the view developed, with its appeal to normativism and subset realization, to explain how Bayesians can accommodate empirical findings of irrationality that are sometimes thought to pose a problem for their view. (shrink)

In his paper “Fairness, Political Obligation, and the Justificatory Gap” (published in the Journal of Moral Philosophy), Jiafeng Zhu argues that the principle of fair play cannot require submission to the rules of a cooperative scheme, and that when such submission is required, the requirement is grounded in consent. I propose a better argument for the claim that fair play requires submission to the rules than the one Zhu considers. I also argue that Zhu’s attribution of consent to people commonly (...) thought to be bound to follow the rules by a duty of fair play is implausible. (shrink)