Prawitz conjectured that the proof-theoretically valid logic is intuitionistic logic. Recent work on proof-theoretic validity has disproven this. In fact, it has been shown that proof-theoretic validity is not even closed under substitution. In this paper, we make a minor modification to the definition of proof-theoretic validity found in Prawitz’s 1973paper ‘Towards a foundation of a general proof theory’ and refined by Schroeder-Heister in ‘Validity concepts in proof-theoretic semantics’ (2006). We will call the new notion generalized proof-theoretic validity and show (...) that the logic of generalized proof-theoretic validity is intuitionistic logic. (shrink)

The relation between ex falso and disjunctive syllogism, or even the justification of ex falso based on disjunctive syllogism, is an old topic in the history of logic. This old topic reappears in contemporary logic since the introduction of minimal logic by Johansson. The disjunctive syllogism seems to be part of our general non-problematic inferential practices and superficially it does not seem to be related to or to depend on our acceptance of the frequently disputable ex falso rule. We know (...) that the acceptance of the ex falso is a sufficient condition for the acceptance of the disjunctive syllogism, but the interesting question is: is the ex falso a necessary condition for the acceptance of the disjunctive syllogism? The aim of the present paper is to discuss some possible ways to define systems that combines the preservation of the disjunctive syllogism with the rejection of the ex falso. (shrink)

In this article I argue that there are two different types of understanding: the understanding we get from explanations, and the understanding we get from unification. This claim is defended by first showing that explanation and unification are not as closely related as has sometimes been thought. A critical appraisal of recent proposals for understanding without explanation leads us to discuss the example of a purely classificatory biology: it turns out that such a science can give us understanding of the (...) world through unification of the phenomena, even though it does not give us any explanations. The two types of understanding identified in this paper, while strictly separate, do have in common that both consist in seeing how the individual phenomena of the universe hang together. Explanations give us connections between the phenomena through the asymmetric, ‘vertical’ relation of determination; unifications give us connections through the symmetric, ‘horizontal’ relation of kinship. We then arrive at a general definition of understanding as knowledge of connections between the phenomena, and indicate that there might be more than two types of understanding. (shrink)

In this paper, I argue that unification is neither necessary nor sufficient for explanation. Focusing on the versions of the unificationist theory of explanation of Kitcher and of Schurz and Lambert, I establish three theses. First, Kitcher’s criterion of unification is vitiated by the fact that it entails that every proposition can be explained by itself, a flaw that it is unable to overcome. Second, because neither Kitcher’s theory nor that of Schurz and Lambert can solve the problems of asymmetry (...) and accidental generalizations, it follows that unification is not sufficient to ground explanation. Third, some good explanations are disunifying, which entails that unification is not necessary for explanation either. (shrink)

Scriven’s paradox of predictability arises from the combination of two ideas: first, that everything in a deterministic universe is, in principle, predictable; second, that it is possible to create a system that falsifies any prediction that is made of it. Recently, the paradox has been used by Rummens and Cuypers to argue that there is a fundamental difference between embedded and external predictors; and by Ismael to argue against a governing conception of laws. The present paper defends a new diagnosis (...) of the roots of the paradox. First, it is argued that the unpredictability has to be understood in the light of Turing’s famous results about computability, in particular his proof that there is no solution to the ‘halting problem.’ This allows us to see that previous analyses of the paradox were either mistaken or not fully adequate. Second, the sense of paradox that nevertheless remains is traced to the idea that rational behaviour is not dependent on contingent environmental circumstances: that it is always up to us to engage in activities such as rational prediction or rational belief. The paradox of predictability teaches us that this idea, natural though it may be, is mistaken. (shrink)

In the paper below the authors describe three super-tasks. They show that although the abstract notion of a super-task may be, as Benacerraf suggested, a conceptual mismatch, the completion of the three super-tasks involved can be defined rather naturally, without leading to inconsistency, by means of a particular kinematical interpretation combined with a principle of continuity.

Two apparently mutually exclusive ideas about the relation between contrastive and non-contrastive explanations can be found in the literature. According to contrastivists, all explanation is contrastive explanation and the supposed existence of non-contrastive explanations can be revealed to be an illusion. According to non-contrastivists, on the other hand, contrastive explanation can be fully analysed in terms of non-contrastive explanation, and is thus not of fundamental importance. In the current article, I discuss the main arguments in favour of and against each (...) of the two positions. This discussion leads to the idea that contrastive explanations are to be understood as parts of a bigger, more complete non-contrastive explanation; but that all actual explanations explain only a limited set of contrasts. I conclude that, once the relation between contrastive and non-contrastive explanations is understood correctly, there remains no substantial issue to divide contrastivism and non-contrastivism. (shrink)

Husserl's two notions of "definiteness" enabled him to clarify the problem of imaginary numbers. The exact meaning of these notions is a topic of much controversy. A "definite" axiom system has been interpreted as a syntactically complete theory, and also as a categorical one. I discuss whether and how far these readings manage to capture Husserl's goal of elucidating the problem of imaginary numbers, raising objections to both positions. Then, I suggest an interpretation of "absolute definiteness" as semantic completeness and (...) argue that this notion does not suffice to explain Husserl's solution to the problem of imaginary numbers. (shrink)

Woodward’s interventionist theory of causation is beset by a problem of circularity: the analysis of causes is in terms of interventions, and the analysis of interventions is in terms of causes. This is not in itself an argument against the correctness of the analysis. But by requiring us to have causal knowledge prior to making any judgements about causation, Woodward’s theory does make it mysterious how we can ever start acquiring causal knowledge. We present a solution to this problem by (...) showing how the interventionist notion of causation can be rationally generated from a more primitive agency notion of causation. The agency notion is easily and non-circularly applicable, but fails when we attempt to capture causal relations between non-actions. We show that the interventionist notion of causation serves as an appropriate generalisation of the agency notion. Furthermore, the causal judgements based on the latter generally remain true when rephrased in terms of the former, which allows one to use the causal knowledge gained by applying the agency notion as a basis for applying Woodward’s interventionist theory. We then present an overview of relevant empirical evidence from developmental psychology which shows that our proposed rational reconstruction lines up neatly with the actual development of causal reasoning in children. This gives additional plausibility to our proposal. The article thus provides a solution to one of the main problems of interventionism while keeping Woodward’s analysis intact. (shrink)

In an earlier paper the authors discussed some super-tasks by means of a kinematical interpretation. In the present paper we show a semi-formal way that a more abstract treatment is possible. The core idea of our approach is simple: if a super-task can be considered as a union of (finite) tasks, it is natural to define the effect of the super-task as the union of the effects of the finite tasks it consists of. We show that this approach enables us (...) to handle two of the three super-tasks that we discussed earlier. We also argue that recent objections against our original kinematical interpretation do not hold water. One of our arguments is based on the construction of an elegant correspondence between the first of those three super-tasks and Zeno's Achilles and the Tortois. (shrink)

Elizabeth Anscombe’s classic paper Causality and Determination claims that causation can be perceived. It also defends causal singularism, the idea that the causal relation is fundamentally between the particular cause and effect, and does not depend on regularities holding elsewhere in the universe. But does the former furnish an argument for the latter? The present paper analyses a special type of causal experience involving emotional reactions to present stimuli; for instance, being frightened by a spider. It argues that such experiences (...) are strongly local, in the sense that they justify belief in a local causal relation independently of our knowledge about events elsewhere in the universe. If this analysis is correct, Humean regularity theories of causation are false; and all other non-singularist theories of causation face a difficult explanatory challenge. This means that the case for causal singularism comes out considerably strengthened. (shrink)

Sometimes Strauss argues as if he thought it possible to understand man without raising questions about his relations to other things, and hence about his place in the whole. But when they are viewed in their broader context, such arguments are seen not to be his final word. Man's humanity cannot be understood in its own terms alone. The human soul differs from everything else in that it is "... open to the whole and therefore more akin to the whole (...) than anything else is." In ordinary usage, "whole" implies completeness and autonomy. But the openness of the soul--i.e., of a part--to the whole can only mean that the whole is open to itself. The whole is, then, not, in the ordinary sense of the term, whole. Nor is the soul which is "open" to it. Stripped of myths, "... the human soul is... more akin to the whole than anything else is" because neither of them is whole. The same conclusion follows when one tries to understand the definition of the philosopher as the man animated by quest for knowledge of the whole. Qua philosopher he knows neither that there is a whole, nor what it might be if there were one. To define the philosopher as the man who knows that he does not know only paraphrases the difficulty. It does not solve it. For "know" is here used equivocally. The same equivocation is at play in the comment "... one cannot know that one does not know without knowing what one does not know". Admittedly "knowledge of ignorance is not ignorance." The philosopher believes and perhaps divines more than he actually knows. All men do. The essential difference between the philosopher and other men may well consist in the fact that the philosopher distinguishes more conscientiously than do others between what he knows and what he believes, and that he strives more single-mindedly than do they to transform as large a share of his beliefs as possible into knowledge. He may conceivably at some point be said to have reached the stage where his aspirations have become reasoned expectations. But that is as far as he can possibly go as long as he remains a philosopher and has not become a wise man or a god. Until and unless the philosopher knows, in the strong sense of the term, he can no more decide whether his aspirations could be fulfilled than he can swim before getting wet. (shrink)

Recent interest in the idea that there can be scientific understanding without explanation lends new relevance to Duhem's notion of natural classification. According to Duhem, a classification that is natural teaches us something about nature without being explanatory. However, Duhem's conception of naturalness leaves much to be desired. In this paper, I argue that we can measure the naturalness of classification by using an amended version of the notion of unification as defined by Schurz and Lambert. If this thesis is (...) correct, it both leads to a better conceptual understanding of scientific understanding, and also gives the nascent literature on this topic some much-needed precision. (shrink)

On the face of it, On Tyranny is a straightforward commentary on Xenophon's dialogue Hiero or Tyrannicus. As such it is a very model of thoroughness and learning. It amply repays careful study, and it goes a long way toward explaining Strauss's influence in training a generation of scholars. The dialogue proper takes up just under 20 pages. Its analysis runs to 90-odd pages, followed by another 30 pages of tightly packed notes that are largely devoted to parallels between the (...) Hiero, Xenophon's teaching as a whole, and the teachings of Plato, of Aristotle and, to a lesser extent, of Cicero. What at first appears as an exercise in textual analysis soon reveals itself as a much broader undertaking: the delineation of the main features of classical political philosophy. Strauss does not mean to deny that differences in perspective, procedure, and even conclusions separate the major representatives of classical political philosophy. He does want to maintain, however, that their agreements are more fundamental than are their differences. But even this is incidental to his main purpose: to understand classical political philosophy for the guidance it might provide in understanding the great moral and political problems that confront us here and now. He conceives of these problems in large measure as the consequence of modern philosophy, of what he calls "the modern project." But modern philosophy cannot be understood on its own terms alone any more than it can be understood by directly confronting it with the phenomena. For it does not owe its most characteristic features to such a confrontation. It owes them, rather, to the fact that, from its very outset, it defined itself in explicit contrast to classical philosophy. Modern philosophy is essentially derivative. It presupposes the tradition it opposes. Classical philosophy, and in particular classical political philosophy, on the other hand "... belongs to the fertile moment when all political traditions were shaken, and there was not yet in existence a tradition of political philosophy." Hence "only in the light of the quarrel between the ancients and the moderns can modernity be understood. By rediscovering the urgency of this quarrel we return to the origins of modernity." It further follows from this line of reasoning that the quarrel must be re-kindled if we are once again to gain access to the phenomena themselves. To this end historical studies become necessary which do not presuppose that the whole issue has, for all intents and purposes, been settled in favor of the moderns. The most basic and most constant assumption of Strauss's historical studies is, therefore, the assumption that classical philosophy is truer than are any of the teachings that criticize or reject it. The passion and the inventiveness with which he defends this assumption sufficiently prove that he does not put it forward merely for reasons of method or of rhetoric. Yet it seems to fall short of being his settled belief. By stressing his agreements with the ancients and his disagreements with the moderns, by holding the moderns responsible for the great problems that face us while calling for a restoration of classical political philosophy, he fosters the impression that his own views coincide fully with those of classical political philosophy. But even if classical political philosophy spoke with a single clear voice, the fact remains that "no competent man of our age would regard as simply true the complete teaching of any thinker of the past." Presumably only someone who thinks himself competent would issue such a warning. (shrink)

Normal 0 21 false false false MicrosoftInternetExplorer4 /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Tabela normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} Este artigo verifica a possibilidade de compreender a Ética de Estado como uma das propostas de leitura da célebre comédia de Aristófanes As Aves . Para tal é fundamental que seja demonstrado no que se chamaria mito da cidade ideal, uma alegoria literária desta cidade ideal e os fundamentos (...) em contraposição dos modelos vigentes das cidades-estado gregas, mas propriamente Athenas, na especulação de que os erros políticos e os vícios sociais da pólis constituem este ambiente para a analogia que surge na discussão sobre os padrões éticos mínimos exigidos no conjunto de qualquer organização social. (shrink)

KANT HELD THAT NEWTON AND ROUSSEAU HAD REVEALED the ways of Providence: “After Newton and Rousseau, God is justified, and Pope’s thesis is henceforth true.”.

This study explored the evidence of validity of internal structure of the 12-item Functional Assessment of Chronic Illness Therapy—Spiritual Wellbeing Scale in Brazilian adolescents with chronic health conditions. The study involved 301 Brazilian adolescents with cancer, type 1 diabetes mellitus, or cystic fibrosis. Exploratory Factor Analysis, Confirmatory Factor Analysis, and Item Response Theory were used to test the internal structure. Reliability was determined with Cronbach’s Alpha and McDonald’s Omega. The EFA suggested a one-dimensional scale structure in contrast to the original (...) 2-factor model or the 3-factor model which were not reproduced in the current CFA. All quality indicators for the EFA one-factor exceeded the required criteria. The FACIT-Sp-12 for adolescents yielded strong evidence for a 1-factor model and with good reliability. (shrink)

A construção de modelos artificiais capazes de tomar decisões geralmente é contrastada à fraca estrutura de comportamento ético capaz de compreender o uso de inteligência artificial para a escolha moral. Neste artigo, discutimos o papel da ética de Hans Jonas e da filosofia crítica de Andrew Feenberg na determinação de princípios para uma ética destes modelos, indo na direção oposta às pesquisas e publicações recentes na área. Analisando o caso específico trazido em Boot et al., à luz de ambos filósofos, (...) podemos demonstrar como os avanços na técnica carecem da necessária crítica filosófica e estudo da nova ética na era da tecnologia. (shrink)

Coherence is a measure of how much our beliefs hang together. Understanding is achieved when we see that something is not just a brute, isolated fact. This suggests that it might be possible to use the extant probabilistic measures of coherence to formulate a measure of understanding. We attempt to do so, but it turns out that a coherence theory runs into trouble with the asymmetry of understanding. We identify four difficulties and show how they have been solved by a (...) unification approach to explanation. We also identify four advantages of the coherence approach, and assess the possibilities of reconciling the strengths of the two approaches.La coherencia es una medida sobre cuanta interdependencia hay entre nuestras creencias. La comprension se obtiene cuando vemos que algo no es un hecho bruto, aislado. Esto sugiere la posibilidad de usar las medidas probabilisticas de coherencia al uso para elaborar una medida de la comprension. Explorare esta posibilidad, a pesar de que una teoria de la coherencia tropieza con problemas aqui dado el caracter asimetrico de la comprension. Identifico cuatro dificultades al respecto y muestro como han sido resueltas mediante un enfoque de la explicacion basado en la nocion de unificacion. Tambien identifico cuatro ventajas en la aproximacion desde la coherencia y examino que perspectivas hay de reconciliar los puntos fuertes de ambos planteamientos. (shrink)

This article discusses Husserl’s “epoche” and “phenomenological reduction” and early Heidegger’s “fear” and “anxiety” from a conceptual and terminological point of view. The basis for comparing “epoche” and “fear” is their main function of neutralizing the world. The author also considers the way of correlating the epoche and anxiety as philosophical concepts with three types of realizable experience that served as their source. The main points and stages of the introduction of the term “epoche” are highlighted; the main functional differences (...) between the terms “epoche” and “phenomenological reduction” in various works of Husserl are indicated. A number of Husserl’s attempts to transform the methodological principles put forward by him into a description of a special experience of detachment, accessible through moral efforts, courage and honesty, are considered. In this regard, the transformation of Cartesian doubt into the procedure of “epoche” through the artificial procedure of “attempt at doubt” is analyzed. Three types of restrictions on the universality of the epoche are distinguished. Terminological and meaningful relationships between neutralization as a mode of consciousness and the epoche are considered. Two main differences are revealed, with the help of which Husserl tries to transform principles into experience: the difference between positional and neutral consciousness and the difference between an epoche and a quasi-epoche. Husserl’s interpretation of the epoche and reduction as a special experience has two main sources: first, the experience of the imagination, or fantasy, and in this sense the source of the epoche is the quasi-epoche, and not vice versa. Secondly, the postulate of the identity of sensation from the real and illusory object. Heidegger’s distinction between fear and anxiety is critically analyzed. The author comes to the conclusion that a common source of the phenomena of anxiety, fear, horror, fright, and so on consists in the collision and mutual penetration of various human worlds. It is impossible to distance oneself from this diversity; further, it is the true source of philosophical reflection. (shrink)

This article offers an appraisal of the social ministry of Pentecostal churches through fellowship, healing and livelihood creation in the township communities of the city of Tshwane. In meeting this aim the discussion advances a thesis of these churches as agents of social support and survival of the downcast. In particular, the article attempts to show how these churches exert themselves towards establishing not only moral responsibility, but also a context where the weakest and the least privileged can learn how (...) to survive. The squatter camp people are unique with the special challenges requiring distinctive consideration. Pentecostal churches believe that the lost people matter to God and are of importance to their congregations as well. The backyard Bible study ministries and mutual cooperation strategies are employed for mutual support. Making use of the existing empirical research data and available literature will show how Pentecostal churches in the townships support the laity and community in times of need. (shrink)

The essay is devoted to the reconstruction of the philosophy of art of Novalis, one of the prominent German Romantics, who presents it in his writings in a fragmentary way. Research of this type appears in scholarly literature for the first time; it utilizes a complex philosophical-aesthetic method of analysis of texts of the German thinker. Novalis appreciates art as one of the highest achievements of humanity, which elevates the human being from ordinary life to spiritual heights. Art is a (...) free expression of the artists' Ego. Art is simultaneously a “self-contemplating and a self-creating nature.” The creative principles of nature are transformed within the spiritual world of the artist and express themselves in art. The secrets of nature are revealed to the artist. The artists sees something great in the least significant things. The beautiful is the object of art and this creates kinship between all types of art. Artists (including painters) do not imitate the external world but they create by means of their internal world. All types of art gravitate towards mutual harmony and foreshadow a synthesis of the arts of sorts. Novalis positions poetry above all other arts. This is because according to him poetry establishes heavenly wisdom on earth, elevates the human being over everyday life, and serves as the foundation for all other arts. Philosophy is internally linked to poetry and serves as its theory. The philosopher must be a poet. The poet lives a special, contemplative life and is a wise and prophetic person. Novalis imagines the future Romantic age as fabulous, magical, poetic, ironic, alogical. “Intelligent chaos” will play a specific role in it. All earthly will be elevated to the heavenly. Novalis considers the novel as one of the principal forms of Romatic poetry and presents its chief characteristics. (shrink)

As Ricœur scholars know, the literature by and on Ricœur is vast. Material written by Ricœur that is not collected in published volumes is often difficult to locate, and even in the published volumes it is frequently a challenge to locate where Ricœur discusses a particular topic. Given the amount of his work it can be a challenge too to determine changes in his analyses over the life of his corpus. And locating secondary literature on Ricœur can be equally problematic. (...) In response, we have been working to establish a model for how Ricœur’s corpus might be digitized so that the issues of access, keyword location, and pattern might all be addressed. To develop the model, we are starting with Ricœur’s primary texts in English and plan to expand over time to other languages and to the secondary literature on Ricœur. In the present article we discuss our model and its five steps: digital access; copyright; text preparation for digital searches and analysis; examples of digital searches and analyses; and an archive portal interface that allows users to query based on an extensible set of search variables without needing to know or access the underlying search logic. We also invite interested researchers to help assist the development of this digitization project. (shrink)

Mobilizadas pelas imagens do protesto “Ato em memória de Miguel” que circularam reiteradamente, nas redes sociais, nos meses de junho e julho passados, realizamos este trabalho analítico e reflexivo sobre algumas imagens relacionadas ao evento da morte do menino Miguel e as cenas de valor dão ver, propondo e operando o conceito de visualidades resolutivas. Para tal, nos auxiliaram na realização deste trabalho os conceitos de: evento racial na perspectiva de Denise Ferreira da Silva ; raça por Stuart Hall e (...) Denise Ferreira da Silva ; ativismo visual por Nicholas Mirzoeff ; documento, evento fotográfico e iconização por Ariella Azoulay ; e imagem resolutiva por Nêgo Bispo. (shrink)

When URUCIB was created, we did not know we were making an Executive Information Systems. In those days, the development of information technology was very nascent, and its impact on developing countries was even more limited. This paper tells how a government imagined using these resources and put them at the service of its management to have real-time information to guide decision-making. It shows how an interdisciplinary team of professionals from informatics, cybernetics, economics, statistics, and politics worked to create a (...) state-of-the-art system in its time, using available information and communication technologies. It shows the challenges that had to be overcome, both technological and cultural, and how this was carried out. It compares the experience of Uruguay with a previous and similar one in Chile fourteen years earlier. It then argues some of the main problems faced and claims the innovative character of the project. Finally, it draws some conclusions from experience. Distinguished British cybernetics expert Prof. Stafford Beer was hired as an advisor, the President of the Republic, Dr. Julio María Sanguinetti, gave his enthusiastic support and project leader Eng. Víctor Ganón and his devoted team were instrumental in making this trailblazing design and successfully implemented the system. (shrink)

The goal of this paper is to assess biological naturalism in light of the adaptationist debate. Searle is famous for explicity pursuing a biological foundation for his theory of consciousness. However, evolutionary biology receives little attention in his work, which results in crucial theoretical confusions over adaptationism. In this paper, we will propose two theses concerning Searle's approach to consciousness in the context of the adaptationist debate. First, Searle's attack on adaptationism only applies to its naive version, failing to touch (...) any of the more sophisticated versions of adaptationism, especially the empirical one. Second, despite his attack, in the end Searle embraces empirical adaptationism about consciousness. Howsoever, Searle's empirical foundation for his thesis that the evolutionary advantage of consciousness lies in a greater power of discrimination faces a serious problem of generalization regarding non-human animals. (shrink)

In my master's thesis for physics and philosophy, I take a long and hard look at the debates surrounding Maxwell's Demon and the status of the second law of thermodynamics. I try to clarify the use of Maxwell's thought experiment in understanding the second law; to prove that the second law is contingent, given only classical mechanics and time asymmetry; to argue that the law only holds because of facts about the kinds of particles that exist in our universe; to (...) show that and why the attempts to banish the demon using fluctuations, measurements or information or erasure have been unsuccessful; and I conclude that Maxwell's Demon is alive and kicking. (shrink)

Building Cosmopolitan Communities contributes to current cosmopolitanism debates by evaluating the justification and application of norms and human rights in different communitarian settings in order to achieve cosmopolitan ideals. Relying on a critical tradition that spans from Kant to contemporary discourse philosophy, Nascimento proposes the concept of a "multidimensional discourse community." The multidimensional model is applied and tested in various dialogues, resulting in a new cosmopolitan ideal based on a contemporary discursive paradigm. As the first scholarly text to provide (...) an interdisciplinary survey of the theories and discourses on human rights and cosmopolitanism, Building Cosmopolitan Communities is a valuable resource to scholars of philosophy, political science, social theory, and globalization studies. (shrink)

O penúltimo capítulo, Pandemia da COVID-19 e o ensino emergencial, de Ernandes Rodrigues do Nascimento pretende identificaro nível de domínio dos docentes em relação ao uso de tecnologias digitais e das metodologias ativas nos processos de ensino e aprendizagem. A análise confirmou a percepção dos docentes em como as tecnologias digitais e das metodologias ativas puderam auxiliar nos processo de ensino e aprendizagem. E por outro lado, enquanto isso, numa perspectiva negativa, o impacto do comportamento dos estudantes e dos (...) seus pais, especialmente na educação básica. (shrink)