This note presents a transcription of Russell's letter to Hawtrey of 22 January 1907 accompanied by some proposed emendations. In that letter Russell describes the paradox that he says "pilled" the "substitutional theory" developed just before he turned to the theory of types. A close paraphrase of the derivation of the paradox in a contemporary Lemmon-style natural deduction system shows which axioms the theory must assume to govern its characteristic notion of substituting individuals and propositions for each other (...) in other propositions. Other discussions of this paradox in the literature are mentioned. I conclude with remarks about the significance of the paradox for Russell. (shrink)

The Ostrogorski paradox and the discursive dilemma are seemingly unrelated paradoxes of aggregation. The former is discussed in traditional social choice theory, while the latter is at the core of the new literature on judgment aggregation. Both paradoxes arise when, in a group, each individual consistently makes a judgment, or expresses a preference, (in the form of yes or no) over specific propositions, and the collective outcome is in some respect inconsistent. While the result is logically inconsistent in (...) the case of the discursive paradox, it is not stable with respect to the level of aggregation in the case of the Ostrogorski paradox. In the following I argue that, despite these differences, the two problems have a similar structure. My conclusion will be twofold: on the one hand, the similarities between the paradoxes support the claim that these problems should be tackled using the same aggregation procedure; on the other hand, applying the same procedure to these paradoxes will help clarify the strengths and weaknesses of the aggregation method itself. More specifically, I will show that an operator defined in artificial intelligence to merge belief bases can deal with both paradoxes. (shrink)

This paper explores how fair trade social enterprises manage paradoxes in stakeholder-oriented governance models. We use narrative accounts from board members, at governance events and board documents to report an exploratory study of paradoxes in three FTSEs which are partly farmer-owned. Having synthesized the key social enterprise governance literature and framed it alongside the broader paradox theory, we used narratives to explore how tensions are articulated, how they can be applied within an adapted paradox framework, and how (...) governance actors seek to mitigate paradoxes. The paper contributes to current debates in social enterprise scholarship concerning hybridity :455–476, 2010; in Institutional logics in action, Part B, 2012), hybrid organizing :397–441, 2014) and operational tensions :407–442, 2013) by illustrating empirically how the central social/enterprise paradox manifests in FTSEs governance arrangements. We build on the paradox categories proposed by Lüscher and Lewis :221–240, 2008) and adapted in Smith et al. :407–442, 2013) by developing a recursive model of legitimacy-seeking governance processes, conceptualizing how boards seek to mitigate, but not necessarily resolve, paradoxes. (shrink)

This note presents a transcription of Russell's letter to Hawtrey of 22 January 1907 accompanied by some proposed emendations. In that letter Russell describes the paradox that he says "pilled" the "substitutional theory" developed just before he turned to the theory of types. A close paraphrase of the derivation of the paradox in a contemporary Lemmon-style natural deduction system shows which axioms the theory must assume to govern its characteristic notion of substituting individuals and propositions for each other (...) in other propositions. Other discussions of this paradox in the literature are mentioned. I conclude with remarks about the significance of the paradox for Russell. (shrink)

The phenomenon of the paradoxes of the largest remainders methods has been studied by numerous authors. Nevertheless, the examples presented in their studies do not deal with the case where a party’s possible additional votes can directly lead to a loss in the party’s number of representatives. This paradox, which can be called the no-show apportionment paradox, has not previously been mentioned in the literature. It is based on the assumption that a voter’s favourite party may lose (...) a seat if the voter votes honestly but get more seats if he or she abstains. The article gives simple examples illustrating the no-show paradox in a party-list proportional representation electoral system using the quota method of apportionment. In these situations it would be better for the party if some of their voters abstained, otherwise it would lose one or more seats. (shrink)

This short article pairs the realms of “Mathematics”, “Philosophy”, and “Poetry”, presenting some corners of intersection of this type of scientocreativity. Poetry have long been following mathematical patterns expressed by stern formal restrictions, as the strong metrical structure of ancient Greek heroic epic, or the consistent meter with standardized rhyme scheme and a “volta” of Italian sonnets. Poetry was always connected to Philosophy, and further on, notable mathematicians, like the inventor of quaternions, William Rowan Hamilton, or Ion Barbu, the creator (...) of the Barbilian spaces, have written appreciated poems. We will focus here on an avant-garde movement in literature, art, philosophy, and science, called Paradoxism, founded in Romania in 1980 by a mathematician, philosopher and poet, and on the laboured writing exercises of the Oulipo group, founded in Paris in 1960 by mathematicians and poets, both of them still in act. (shrink)

I argue that intentionalism in aesthetics and in legal interpretation is vulnerable to a different sort of criticism than is found in the voluminous literature on the topic. Specifically, a kind of paradox arises for the intentionalist out of recognition of a second-order intention embedded in the social practices that characterize both art and law. The paper shows how this second-order intention manifests itself in each of the two enterprises, and argues that its presence entails the overriding centrality (...) of the public text, and hence a rejection of the interpretive stance distinctive of intentionalism itself. (shrink)

The knower paradox states that the statement ‘We know that this statement is false’ leads to inconsistency. This article presents a fresh look at this paradox and some well-known solutions from the literature. Paul Égré discusses three possible solutions that modal provability logic provides for the paradox by surveying and comparing three different provability interpretations of modality, originally described by Skyrms, Anderson, and Solovay. In this article, some background is explained to clarify Égré’s solutions, all three (...) of which hinge on intricacies of provability logic and its arithmetical interpretations. To check whether Égré’s solutions are satisfactory, we use the criteria for solutions to paradoxes defined by Susan Haack and we propose some refinements of them. This article aims to describe to what extent the knower paradox can be solved using provability logic and to what extent the solutions proposed in the literature satisfy Haack’s criteria. Finally, the article offers some reflections on the relation between knowledge, proof, and provability, as inspired by the knower paradox and its solutions. (shrink)

Cumulative Prospect Theory (CPT) does not explain the St. Petersburg Paradox. We show that the solutions related to probability weighting proposed to solve this paradox, (Blavatskyy, Management Science 51:677–678, 2005; Rieger and Wang, Economic Theory 28:665–679, 2006) have to cope with limitations. In that framework, CPT fails to accommodate both gambling and insurance behavior. We suggest replacing the weighting functions generally proposed in the literature by another specification which respects the following properties: (1) to solve the (...) class='Hi'>paradox, the slope at zero has to be finite. (2) to account for the fourfold pattern of risk attitudes, the probability weighting has to be strong enough. (shrink)

A lot has been written on solutions to the semantic paradoxes, but very little on the topic of general theories of paradoxicality. The reason for this, we believe, is that it is not easy to disentangle a solution to the paradoxes from a specific conception of what those paradoxes consist in. This paper goes some way towards remedying this situation. We first address the question of what one should expect from an account of paradoxicality. We then present one conception of (...) paradoxicality that has been offered in the literature: the fixed-point conception. According to this conception, a statement is paradoxical if it cannot obtain a classical truth-value at any fixed-point model. In order to assess this proposal rigorously we provide a non-metalinguistic characterization of paradoxicality and we evaluate whether the resulting account satisfies a number of reasonable desiderata. (shrink)

This article presents and interprets a number of neglected paradoxes in early Chinese philosophical texts . Looking beyond well-known paradoxes put forward by masters such as Hui Shi and Gongsun Long, it intends to complement our picture of Warring States and early Western Han paradoxical statements. The first section contrasts the neglected paradoxes with the well-known ones. It is contended here that our understanding of these latter paradoxes is hampered by a lack of context and that the neglected paradoxes possess (...) an interpretative advantage by virtue of their being context-embedded. The second section presents an overview of three groups of neglected paradoxes, showing that the paradoxical effect of these paradoxes results from a challenge to the semantics of their central terms. The third section discusses the distribution of the paradoxes throughout the early literature and concludes that they typically appear in "Daoist" writings. The final section proposes a semantic-rhetorical interpretation. Placing the paradoxes against the background of the features and use of important terms, it is argued that they constitute unorthodox redefinitions and are formulated to influence the behavior and values of their intended audience. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Pleasure and Pain in LiteratureOliver ConollyWhy do we enjoy the depiction, in imaginative literature, of situations that typically arouse negative emotions such as pity, sadness, and horror? One view, which aims to dissolve rather than solve the problem, is that we do not enjoy them at all. According to this theory—the pure pain theory—the problem does not arise in the first place. But the theory must explain why (...) we chose to undergo such painful experiences. Are we simply aesthetic masochists? The pure pleasure theory, by contrast, denies that there are any painful aspects to our experience of such literature. This theory must explain how we can take pure delight in the literary depiction of suffering. Are we simply aesthetic sadists? Lying between both extremes is the hybrid theory, which asserts that there are both painful and pleasant aspects of such experiences. The hybrid theory must specify which aspects of the experience are painful and which pleasant. In this paper a version of the hybrid theory is advanced and defended.IThe pure pleasure theory denies that we feel painful emotional identification with fictional characters. Why take this view? One reason is that it is a way of resolving the paradox of fiction, as formulated by Colin Radford.1 The paradox asserts that there is an inconsistency between the propositions that: (1) we have emotions for fictional characters, (2) we know that they do not exist, (3) it is irrational to have emotions for non-existent objects. Each proposition seems plausible, yet one must be false. Whilst most of the participants in the debate have attacked the notion that feelings for fictions are irrational, some have [End Page 305] denied that we have such feelings in the first place. One intuition guiding this denial is that the depiction of a fictional horrible event is likely to be less painful than the depiction of an identical but real event. In other words, the mere fictionality of an event is liable, by itself, to diminish the pain we are liable to feel at its depiction in comparison with a real event: I label this the fictionality gap. If the fictionality gap exists, it applies across the board, to the sufferings of Pip in Great Expectations as well as those of King Lear. The characters in those works are fictional, and so the lessening of the pain we feel at their fates must, if the fictionality gap holds, hold merely in virtue of the fact that they are fictional.It has often been noted—rather than argued, but this is question of impression rather than logic—that one would feel more affected were the stories real rather than fictional. The kinds of events depicted in King Lear—ugly struggles for power, the manipulation of the naïve, the impotence of the good, inconsolable grief—are not in themselves other-worldly, and can be imagined taking place in reality. However it is much more difficult to imagine King Lear in its full particularity taking place in the real world, given the theatricality of its form and language. In order to imagine King Lear as real, one would have to rob it of Shakespeare's poetry, which is other-worldly in its eloquence. French proponents of the Three Unities thought that theatre should aim at, among other things, verisimilitude, but never overcame the problem that the fact that characters in French theatre speak in rhyming couplets might detract from that verisimilitude, which it clearly does. This worry about the transplantability of King Lear into the real world appears to be less of a problem in relation to realist novels, which, as their appellation suggests, are easier to imagine taking place in the real world. Not only is the language used in realist novels less exalted than that used in tragedies, the situations such novels depict tend to be more likely to occur. Clearly, the realist novel is capable of depicting horrible or unpleasant events. About such novels, say, Madame Bovary, it seems to make sense to ask ourselves how we would feel about them if we read them as true stories.I would like however to question the very intelligibility of the... (shrink)

ABSTRACT Prima facie, the philosophy of Emmanuel Levinas would seem to be inherently averse to literature as an ethical mode. Indeed, in his early work, up to and including Totality and Infinity (1961), literary art is often censured with what amounts to Platonic zeal. However, as I will demonstrate, this criticism stands alongside what is seemingly an incongruous use of literary art as a means of ethical exemplification. By exploring this tension, I will show how the contra-epistemic aesthetic of (...) S. Y. Agnon (1888–1970) can be read within ethical terms consistent with Levinas’s philosophical position. (shrink)

This article explores how Mortimer J. Adler's philosophy of history, as it developed from the 1930s through the 1950s, affected the construction of Encyclopedia Britannica's Great Books of the Western World and the same set's Syntopicon. A thorough examination of Adler's influences (e.g. Arthur O. Lovejoy, Jacques Maritain, and Columbia University faculty) demonstrates that his philosophy of history derived from a coincidental confluence of developments in the fields of literature, history, and philosophy. Adler's processing of these trends reveals both (...) irony and paradox, and also explains some philosophical objections articulated by later foes of the great books idea. (shrink)

Lewis Carroll, both logician and writer, suggested a logical paradox containing furthermore two connotations (connotations or metaphors are inherent in literature rather than in mathematics or logics). The paradox itself refers to implication demonstrating that an intermediate implication can be always inserted in an implication therefore postponing its ultimate conclusion for the next step and those insertions can be iteratively and indefinitely added ad lib, as if ad infinitum. Both connotations clear up links due to the shared (...) formal structure with other well-known mathematical observations: (1) the paradox of Achilles and the Turtle; (2) the transitivity of the relation of equality. Analogically to (1), one can juxtapose the paradox of the Liar (for Lewis Carroll’s paradox) and that of the arrow (for “Achilles and the Turtle”), i.e. a logical paradox, on the one hand, and an aporia of motion, on the other hand, suggesting a shared formal structure of both, which can be called “ontological”, on which basis “motion” studied by physics and “conclusion” studied by logic can be unified being able to bridge logic and physics philosophically in a Hegelian manner: even more, the bridge can be continued to mathematics in virtue of (2), which forces the equality (for its property of transitivity) of any two quantities to be postponed analogically ad lib and ad infinitum. The paper shows that Hilbert arithmetic underlies naturally Lewis Carroll’s paradox admitting at least three interpretations linked to each other by it: mathematical, physical and logical. Thus, it can be considered as both generalization and solution of his paradox therefore naturally unifying the completeness of quantum mechanics (i.e. the absence of hidden variables) and eventual completeness of mathematics as the same and isomorphic to the completeness of propositional logic in relation to set theory as a first-order logic (in the sense of Gödel (1930)’s completeness theorems). (shrink)

Do logical paradoxes, like Eubulides’s Liar Paradox (the claim that the sentence “I am now lying” is true if and only if it is false), have any “existential” significance or are they mere brain puzzles for the mathematically minded? The paper argues that Randall Jarrell’s poem, “Eighth Air Force”, contains a poetic use of Eubulides’ Liar Paradox, spoken by Pontius Pilate’s wife in her statements about the “murder” of Jesus, in order to capture, symbolically, the inherent universal duplicity (...) (inauthenticity) of human life, specifically, the fact that human life, even in its true statements about fundamental moral-existential issues, is an inseparable blend of “truth” and “lies.”. (shrink)

Both sustainability and identity are said to be paradoxical issues in organizations. In this study we look at the paradoxes of corporate sustainability at the individual level by studying the identity work of those managers who hold sustainability-dedicated roles in organizations. Analysing 26 interviews with sustainability managers, we identify three main tensions affecting their identity construction process: the business versus values oriented, the organizational insider versus outsider and the short-term versus long-term focused identity work tensions. When dealing with these tensions, (...) some interviewees express a paradoxical perspective in attempting to accept and maintain the two poles of each of them simultaneously. It emerges in particular that metaphorical reasoning can be used by sustainability managers in varied ways to cope with the tensions of identity work. We read these findings in light of the existing literature on the relation between paradoxes and identity work, highlighting and discussing their implications for both research and practice. (shrink)

The complexity of current social and environmental grand challenges generates many conflicts and tensions at the individual, organization and/or systems levels. Paradox theory has emerged as a promising way to approach such a complexity of corporate sustainability going beyond the instrumental business-case perspective and achieving superior sustainability performance. However, the fuzziness in the empirical use of the concept of “paradox” and the absence of a systems perspective limits its potential. In this paper, we perform a systematic review and (...) content analysis of the empirical literature related to paradox and sustainability, offering a useful guide for researchers who intend to adopt the concept of “paradox” empirically. Our analysis provides a comprehensive account of the uses of the construct - which allows the categorization of the literature into three distinct research streams: 1) paradoxical tensions, 2) paradoxical frame/thinking, and 3) paradoxical actions/strategies - and a comprehensive overview of the findings that emerge in each of the three. Further, by adopting a system perspective, we propose a theoretical framework that considers possible interconnections across the identified paradoxical meanings and different levels of analysis (individual, organizational, systems) and discuss key research gaps emerging. Finally, we reflect on the role a clear notion of paradox can have in supporting business ethics scholars in developing a more “immanent” evaluation of corporate sustainability, overcoming the current instrumental view. (shrink)

In this paper we argue that transnational as well as national political demands and expectations on the educational field are contributing to produce four ideological-based educational leadership discourses in the literature. In order to conceptualize these discourses, we turn to the work of Schmidt and Zizek. On that basis we identify four dominant educational leadership discourses: a personhood-based discourse, a profession-based discourse, a standard-based discourse, and a resource-based discourse. These discourses have—as we will show—various consequences for the way we (...) think and talk about education and educational leadership in our age. Using examples that stem from a project about educational leadership in Danish upper secondary school, we will illustrate how educational leaders’ beings and doings are ‘regulated’ by these discourses, which place them in a tension field where different and conflicting fantasies seem to be played out. Then, we will discuss how these fantasies can be challenged and how we can think and speak more intellectually about education and educational leadership. By using the term intellectual we are referring to educational leaders’ ability as human beings to critically reflect on their contemporary doings and beings within and beyond the existing social order. Hopefully this can help them to establish new ways for discussing not only what educational leadership is and should be about, but also what it could be about. (shrink)

The article discusses the “paradox of the late (around 1940) arrival of academic applied mathematics in the U.S.” as compared to Europe, in particular Germany. A short description of both the indigenous traditions in the U.S. and (in some more detail) of the transfer of scientific ideas, persons, and ideals originating in Europe, particularly in Germany, is given, and some theses, relevant literature, and a tentative solution of the “paradox” are provided.

Gilles Deleuze famously expressed distaste for the philosophy of Ludwig Wittgenstein and his followers. The two thinkers are here seen as irreconcilable. The critique of false problems and the refutation of scepticism found in Wittgenstein have no resonance in Deleuze, who was a systematic metaphysical philosopher in the tradition of pre-Kantian rationalism. Pragmatic-sceptical self-limitation of thought's capabilities on the grounds of existing practice flies in the face of aesthetic experience. Moreover Deleuze explicitly upholds modern literature as a locus of (...) philosophical innovation. The comparison between Deleuze and Wittgenstein is pursued in an examination of the questions of ‘rule following’, literary practice and semiotics. Deleuze was hostile to ‘pragmatism’, whereas Wittgenstein and his followers could often be described as pragmatists. (shrink)

Paradox theory offers a unique approach through which the complex and often conflicting aspects of corporate sustainability (CS) can be addressed. Although a growing body of literature has focused on the organizational-level outcomes of a paradox approach to sustainability, we know less about how such an approach creates business contributions to sustainable development beyond the organization (societal sustainability). The present study addresses this gap in research through a qualitative meta-analysis of 32 empirical case studies. While the analyzed (...) studies confirmed the effectiveness of a paradox approach to managing CS tensions from an organizational perspective, indications of contributions to societal sustainability were ambiguous. This finding led to the creation of a typology of response–outcome pathways. These pathways illustrate variations in the societal sustainability outcomes of CS paradox responses based on the moderating effects of three factors: level of commitment to sustainability, the approach to stakeholder engagement, and the level of strategy–practice alignment. This analysis contributes to the CS paradox perspective by offering important boundary conditions to the commonly held assumption that a paradox approach leads to superior business contributions to sustainability and highlights the need for research that examines outcomes of extant CS approaches beyond the organization. (shrink)

Chinese Chan or Zen Buddhism is renowned for its improvisational, atypical, and perplexing use of words. In particular, the tradition’s encounter dialogues, which took place between Chan masters and their interlocutors, abound in puzzling, astonishing, and paradoxical ways of speaking. In this chapter, we are concerned with Chan’s use of paradoxical language. In philosophical parlance, a linguistic paradox comprises the confluence of opposite or incongruent concepts in a way that runs counter to our common sense and ordinary rational thinking. (...) One naturally wonders about Chan masters’ rationales for their use of paradox. There are also concerns about whether the use violates the logical principle of noncontradiction to the effect that nothing can be both P and not-P all over in the same way at the same time. Chan became a viable Chinese Buddhist tradition during the Tang dynasty (618−907) and continued to develop for several centuries. The tradition had produced a huge literature; consequently, our investigation of its use of paradox cannot but be limited and selective. In the second section, I first sketch key ideas of Chan that are pertinent to our investigation and then examine the use of paradox in the sermons associated with certain Tang masters of the southern Chan. In the third section, I analyze the presence of paradoxical language in post-Tang encounter dialogues. The fourth section concludes. (shrink)

Purpose Although current literature assumes positive outcomes for stakeholders resulting from an increase in power associated with CSR, this research suggests that this increase can lead to conflict within organizations, resulting in almost complete inactivity on CSR. Methods A Single in-depth case study, focusing on power as an embedded concept. Results Empirical evidence is used to demonstrate how some actors use CSR to improve their own positions within an organization. Resource dependence theory is used to highlight why this may (...) be a more significant concern for CSR. Conclusions Increasing power for CSR has the potential to offer actors associated with it increased personal power, and thus can attract opportunistic actors with little interest in realizing the benefits of CSR for the company and its stakeholders. Thus power can be an impediment to furthering CSR strategy and activities at the individual and organizational level. (shrink)

This article outlines the context in which General National Vocational Qualifications (GNVQs) have been developed with particular reference to the independent learning dimension of their principles and practice. It provides an overview of the problems associated with the GNVQ approach from the literature and from a study by the authors of twelve post-16 institutions in the process of implementing Advanced GNVQ programmes. It analyses the dimensions of independent learning and argues that GNVQs provide a hybrid learner experience in which (...) autonomy in the organisation of the individual learning process is mediated by a heavily prescribed GNVQ framework. The article concludes by locating this paradox in four central dilemmas characterising post-16 curricular policy in the UK. (shrink)

Despite numerous chief executive officers (CEOs) citing their religious convictions as the primary guiding framework for their decision-making, leadership behavior, business philosophy, and motivation to contribute to society, the impact of CEOs’ religious convictions is relatively limited in the business literature. However, the widespread yet potentially ambiguous impact of CEO religiosity, encompassing both a CEO’s religious denomination and level of religiosity, on individual, organizational, economical, and societal levels remains a neglected area of research. This gap is attributed to challenges (...) in conceptualizing and measuring this multifaceted construct, with existing research scattered and predominantly confined to the ethics domain. Notably, this oversight is significant given the pivotal role that CEOs, as primary decision-makers, play in organizational dynamics. This article aims to address this gap by conducting a systematic literature review of 50 articles focused on CEO religiosity, seeking to enhance the understanding of personal religion in the business world. Through an analysis of publication trends, methodological approaches, theoretical frameworks, and empirical findings, the review not only offers insights for future research and theorizing but also proposes a conceptual framework for understanding and advancing CEO religiosity research. Additionally, this review identifies specific areas warranting further investigation, thereby highlighting existing research gaps and providing explicit starting points for future research. Through these contributions, this article provides a blueprint for future research on CEO religiosity and holds significant implications for management practice. (shrink)

If feeling a genuine emotion requires believing that its object actually exists, and if this is a belief we are unlikely to have about fictional entities, then how could we feel genuine emotions towards these entities? This question lies at the core of the paradox of fiction. Since its original formulation, this paradox has generated a substantial literature. Until recently, the dominant strategy had consisted in trying to solve it. Yet, it is more and more frequent for (...) scholars to try to dismiss it using data and theories coming from psychology. In opposition to this trend, the present paper argues that the paradox of fiction cannot be dissolved in the ways recommended by the recent literature. We start by showing how contemporary attempts at dissolving the paradox assume that it emerges from theoretical commitments regarding the nature of emotions. Next, we argue that the paradox of fiction rather emerges from everyday observations, the validity of which is independent from any such commitment. This is why we then go on to claim that a mere appeal to psychology in order to discredit these theoretical commitments cannot dissolve the paradox. We bring our discussion to a close on a more positive note, by exploring how the paradox could in fact be solved by an adequate theory of the emotions. (shrink)

L'étude des formes paradoxales chez Ménandre le rhéteur et les humanistes du XVIe siècle, Agrippa de Nettesheim, Montaigne, ainsi que chez Molière, Chamfort...

These free-wheeling, often exhilarating dialogues—which grew out of the acclaimed Carnegie Hall Talks—are an exchange between two of the most prominent figures in contemporary culture: Daniel Barenboim, internationally renowned conductor and pianist, and Edward W. Said, eminent literary critic and impassioned commentator on the Middle East. Barenboim is an Argentinian-Israeli and Said a Palestinian-American; they are also close friends. As they range across music, literature, and society, they open up many fields of inquiry: the importance of a sense of (...) place; music as a defiance of silence; the legacies of artists from Mozart and Beethoven to Dickens and Adorno; Wagner’s anti-Semitism; and the need for “artistic solutions” to the predicament of the Middle East—something they both witnessed when they brought young Arab and Israeli musicians together. Erudite, intimate, thoughtful and spontaneous, Parallels and Paradoxes is a virtuosic collaboration. (shrink)

This article considers an apparent tension between, on the one hand, a widespread belief among literature teachers that the appreciation of a poem involves an experience of form-content inseparability and, on the other hand, these same teachers’ use of paraphrase to encourage appreciation. Using Terrence Deacon’s model of art experience, I argue that the tensions of this ‘paraphrase paradox’ mirror tensions inherent in poetic experience. Section II draws upon work by Rafe McGregor, Peter Lamarque, and Peter Kivy to (...) frame an approach to the form-content distinction, and to offer a brief overview of the paraphrase paradox. Sections III-IV summarize Deacon’s model of aesthetic experience, and argue that this model implies that poetic experience both triggers an impulse towards paraphrase, and frustrates this impulse. Section V looks at implications for the poetry teacher’s attempts to navigate the paraphrase paradox. Section VI tests these implications through an analysis of Philip Larkin’s poem ‘Faith Healing’. (shrink)

Recently, several authors have pointed out that substructural logics are adequate for developing naive theories that represent semantic concepts such as truth. Among them, three proposals have been explored: dropping cut, dropping contraction and dropping reflexivity. However, nowhere in the substructural literature has anyone proposed rejecting the structural rule of weakening, while accepting the other rules. Some theorists have even argued that this task was not possible, since weakening plays no role in the derivation of semantic paradoxes. In this (...) article, I introduce a theory for naive truth based on the logic resulting from dropping the rule of weakening from classical logic, and maintaining the other structural rules. (shrink)

Despite having been solved numerous times, the surprise quiz paradox persists in the intellectual imagination as a riddle. This dialogue aims to dispel the fallacies of the paradox in an intuitive way through the causal format of a dialogue. Along the way, two contributions are made to the literature. Even if the student knew there would be a quiz at the end of a quizless Thursday, the fact that the quiz will be a surprise Friday would provide (...) a Gettier-style defeater for his supposed knowledge that he will have a quiz Friday. In addition, pace Sorensen (1988), the dialogue explains why the temporal retention of knowledge is essential to the puzzle and not a mere accident. (shrink)

Although Fuzzy logic and Fuzzy Mathematics is a widespread subject and there is a vast literature about it, yet the use of Fuzzy issues like Fuzzy sets and Fuzzy numbers was relatively rare in time concept. This could be seen in the Fuzzy time series. In addition, some attempts are done in fuzzing Turing Machines but seemingly there is no need to fuzzy time. Throughout this article, we try to change this picture and show why it is helpful to (...) consider the instants of time as Fuzzy numbers. In physics, though there are revolutionary ideas on the time concept like B theories in contrast to A theory also about central concepts like space, momentum… it is a long time that these concepts are changed, but time is considered classically in all well-known and established physics theories. Seemingly, we stick to the classical time concept in all fields of science and we have a vast inertia to change it. Our goal in this article is to provide some bases why it is rational and reasonable to change and modify this picture. Here, the central point is the modified version of “Unexpected Hanging” paradox as it is described in "Is classical Mathematics appropriate for theory of Computation".This modified version leads us to a contradiction and based on that it is presented there why some problems in Theory of Computation are not solved yet. To resolve the difficulties arising there, we have two choices. Either “choosing” a new type of Logic like “Para-consistent Logic” to tolerate contradiction or changing and improving the time concept and consequently to modify the “Turing Computational Model”. Throughout this paper, we select the second way for benefiting from saving some aspects of Classical Logic. In chapter 2, by applying quantum Mechanics and Schrodinger equation we compute the associated fuzzy number to time. These, provides a new interpretation of Quantum Mechanics.More exactly what we see here is "Particle-Fuzzy time" interpretation of quantum Mechanics, in contrast to some other interpretations of Quantum Mechanics like " Wave-Particle" interpretation. At the end, we propound a question about the possible solution of a paradox in Physics, the contradiction between General Relativity and Quantum Mechanics. (shrink)

From a perspective of multiculturalism, this paper aims to analyze Ang Lee’s Wedding Banquet and Brokeback Mountain by elaborating on the issues of sex/gender/identity in the hope of exploring the process and problematics of cultural formations in the era of globalization characterized by multiculturalism. Based on Judith Buthler’s deconstructive/postmodernist view of sex/gender/identity, the first part of this essay evaluates simultaneously both the positive and negative aspects of these two films; whereas Deleuze’s literary aesthetics of minor literature offers me a (...) subtle perspective on Ang Lee’s extraordinary achievement in creating a minoritarian artistic work that exposes the complexity of human psyche/desire, which constitutes the second part of this essay. In addition, both parts intend to reexamine, from a perspective of multiculturalism, how Ang Lee’s special micropolitics/aesthetics enables him to rewrite successfully Annie Proulx’s short story for the screen so as to create a globally popular American love story that not only distinguishes him from the mediocre Hollywood commercial romance film makers but also simultaneously brings him fame and profit. (shrink)

Industrial food systems are being increasingly challenged by alternative food movements globally that advocate for better environmental, social, economic, and political outcomes as part of societal transitions to more sustainable food systems. At the heart of these transitions are local food producers operating within shorter food supply chains, their experiences, and their knowledge of ecologically sustainable food production, biodiversity and climate, and their communities. Despite their important contributions to the resilience of food systems, society and ecology, local food producers' experiences (...) and knowledges are often undervalued, ignored, or inaccurately reflected. This systematic literature review identifies the values, motivations, and concerns as key elements of the experiences of local food producers within short food supply chains across literature globally, their contributions to social-ecological resilience, and discusses how these experiences and contributions can influence transitions to sustainable food systems. Eighty-five research articles were distilled from 5 databases and thematic analysis revealed four major themes: (1) concerns for exploitative operating contexts and hidden labor expectations within short food supple chains, (2) local food producers’ value and need for social networks, (3) their environmental values, connections, and concerns, and (4) how they can value and be motivated by alternative models but are concerned by their economic viability. This review also observed an important paradox within local food producers’ experiences showing that whilst farming is a demanding profession and lifestyle, they can feel a deep fulfilment when they live and work in harmony with their values and motivations. This systematic review is significant for how it values and synthesizes the experiences of local food producers and the diverse personal, social, ecological, and economic contributions that local food production has for social-ecological resilience of communities. By better communicating these experiences and contributions to decision-makers, policy makers and planners, this research can have major implications for enabling societal transitions that are fairer and more just in ways that empower, protect, and privilege local food producers’ voices. (shrink)

Our contribution in this paper is to highlight the ethical implications of workforce engagement strategies in an age of austerity. Hard or instrumentalist approaches to workforce engagement create the potential for situations where engaged employees are expected to work ever longer and harder with negative outcomes for their well-being. Our study explores these issues in an investigation of the enactment of an engagement strategy within a UK Health charity, where managers and workers face paradoxical demands to raise service quality and (...) cut costs. We integrate insights from engagement, paradox, and ethic of care literatures, to explore these paradoxical demands—illustrating ways in which engagement experiences become infused with tensions when the workforce faces competing requirements to do ‘more with less’ resources. We argue that those targeted by these paradoxical engagement strategies need to be supported and cared for, embedded in an ethic of care that provides explicit workplace resources for helping workers and managers cope with and work through corresponding tensions. Our study points to the critical importance of support from senior and frontline managers for open communications and dialogue practices. (shrink)

The Jeffreys–Lindley paradox displays how the use of a \ value ) in a frequentist hypothesis test can lead to an inference that is radically different from that of a Bayesian hypothesis test in the form advocated by Harold Jeffreys in the 1930s and common today. The setting is the test of a well-specified null hypothesis versus a composite alternative. The \ value, as well as the ratio of the likelihood under the null hypothesis to the maximized likelihood under (...) the alternative, can strongly disfavor the null hypothesis, while the Bayesian posterior probability for the null hypothesis can be arbitrarily large. The academic statistics literature contains many impassioned comments on this paradox, yet there is no consensus either on its relevance to scientific communication or on its correct resolution. The paradox is quite relevant to frontier research in high energy physics. This paper is an attempt to explain the situation to both physicists and statisticians, in the hope that further progress can be made. (shrink)

The notion of choice and its individualistic underpinnings is fundamentally inconsistent with the collectivist NHS ethosIn both the policy1 and academic2 literatures, the issue of extending patient choice in the UK National Health Service is currently a much discussed issue. From December 2005—for example, general practitioners will be required to offer patients needing elective surgery the choice of five providers at the point of referral.1 Choice is often thought of as an intrinsically good thing; that is, that people value choice (...) in and of itself.3 A probable underlying reason for this belief is that choice is tied in with the notion of individual autonomy, or freedom, a concept that looms large in ethical theories of the good. Beauchamp and Childress—for example, classified respect for …. (shrink)

The paradox of knowability, derived from a proof by Frederic Fitch in 1963, is one of the deepest paradoxes concerning the nature of truth. Jonathan Kvanvig argues that the depth of the paradox has not been adequately appreciated. It has long been known that the paradox threatens antirealist conceptions of truth according to which truth is epistemic. If truth is epistemic, what better way to express that idea than to maintain that all truths are knowable? In the (...) face of the paradox, however, such a characterization threatens to undermine antirealism. If Fitch's proof is valid, then one can be an antirealist of this sort only by endorsing the conclusion of the proof that all truths are known.Realists about truth have tended to stand on the sidelines and cheer the difficulties faced by their opponents from Fitch's proof. Kvanvig argues that this perspective is wholly unwarranted. He argues that there are two problems raised by the paradox, one that threatens antirealism about truth and the other that threatens everybody's view about truth, realist or antirealist. The problem facing antirealism has had a number of proposed solutions over the past 40 years, and the results have not been especially promising with regard to the first problem. The second problem has not even been acknowledged, however, and the proposals regarding the first problem are irrelevant to the second problem. This book thus provides a thorough investigation of the literature on the paradox, and also proposes a solution to the deeper of the two problems raised by Fitch's proof. It provides a complete picture of the paradoxicality that results from Fitch's proof, and presents a solution to the paradox that claims to address both problems raised by the original proof. (shrink)

This paper aims to investigate the importance of literature in Maurice Merleau-Ponty’s reflections concerning two strictly connected phenomenological themes: 1) the virtuality of objects and of existence itself; 2) the genesis of truth and the intuition of essences. According to Merleau-Ponty, modern novelists have adopted a phenomenological method: instead of ‘explaining’ the world through words, they ‘show’ the lifeworld and its paradoxes indirectly. In his view, and against Jean-Paul Sartre’s position, analyzing literature means developing a theory integrating perception (...) and the imagination. Moreover, at the beginning of the 1950’s, this perspective led Merleau-Ponty to a deep revision of the Sartrian concepts of spontaneity and engagement in literary practice in favour of a theory of expression as style. As a conclusion, the paper argues for the key-role of literature in Merleau-Ponty’s indirect ontology as a way of rediscovering unity and harmony behind the metamorphosis of reality. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Joseph Margolis LITERATURE AND SPEECH ACTS The trivial truth that literature employs language has been fastened on regularly and repeatedly to spawn a remarkable variety of misconceptions. Most famously, in the context of aesthetics, it has led to the untenable thesis that all art is language,1 and to the more pointed claim that works of art somehow affirm propositions that may be linguistically rendered and straightforwardly judged (...) true or false. It has also embarrassed a good deal of theorizing about the nature of aesthetic experience and the aesthetic orientation, and has led to preposterous views about the aesthetic status of the literary arts and the exaggerated importance of words in literature. These developments are reasonably well known, partly because they form a venerable portion of the history of aesthetics, partly because the doctrines at stake take so many apparently persuasive guises—even in our own time. There are other views, however, also largely based on the example of literature, that are at once useful because they are corrective of other abuses and are in their turn prone to newer mistakes that bid fair to become fashionable. The ambivalent corrective I have in mind may be marked by the thesis that a work of art is an utterance of some sort. In effect, the thesis stresses the distortion that results from pretending to address art relevantly solely in terms of the palpable properties of some object or product—more or less on the model of examining a perceptually accessible physical object. Attention is required, on the theory, to the act or agency of the artist by which the work is "uttered," in a sense quite close to that in which a forger is said to "utter" a bad check: by this simple strategem, we are led to see that biographical, historical, intentional considerations are instructive about a work of art in an essential way and that the properties of an artwork cannot possibly be restricted to its merely sensory or sensuous features (if indeed, admitting conceptual art, a particular work has any such features at all). The proposal, therefore, is at least a heuristically useful one. Whether it ought also to be enshrined as definitional of 39 40Philosophy and Literature art is another question altogether, qualified partly by its being entirely possible to save the corrections without the thesis, partly by the debatable force of definitions themselves. A rather specialized but utterly misleading and unpromising version of the utterance theory maintains that literature as such, as well as such particularly important distinctions within literature as fiction, poetry, and metaphor, may be perspicuously defined or distinguished in terms of a speech-act model. We must be careful here. The general thesis that the phenomenon of language cannot be adequately analyzed apart from contextual considerations bearing on speakers' intentions, shared assumptions and background beliefs between speakers and hearers, and the actual histories of conversations and the like has now been abundantly confirmed by a variety of theorists—including, prominently, J. L. Austin, P. F. Strawson, H. P. Grice, John Searle, Keith Donnellan, George Lakoff, and Zeno Vendler. Still, the general concession that familiar syntactic and semantic studies of the phenomenon of language omit an entire dimension of language, as Austin so ably demonstrated, has rather little to say about the distinctions normally debated in the context of literary theory and the appreciation and criticism of literature. (This may well seem paradoxical. The argument has yet to be supplied.) But since the application of the speech-act model to literary analysis shows some tendency to attract advocates, it may be useful to draw explicit attention here to the inherent limitations and difficulties of the enterprise. Obviously, if language must be analyzed at least in part in terms of the context of performing speech acts, it will be impossible to ignore altogether the speech-act dimension of literary utterances. The question remains: what can and what cannot be illuminated by means of the speech-act model? Precisely how restricted a general speech-act model is—that is, one not restricted just to literature—can be seen at a stroke simply by noting that the meanings of sentences (i) cannot be equated with what speakers... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Noël Carroll THE PARADOX OFJUNK FICTION Perhaps on your way to some academic conference, if you had no papers to grade, you stopped in die airport gift shop for something to read on the plane. You saw racks of novels authored by die likes of Mary Higgins Clark, Michael Crichton, John Grisham, Danielle Steele, Sidney Sheldon, Stephen King, Sue Grafton, Elmore Leonard, Sara Paretsky, Tom Clancy, and so (...) on. These are the kinds of novels that, when you lend them to friends, you don't care, unless you live in Bowling Green, Ohio, whether you ever get them back. They are mass, popular fictions. In another era, they would have been called pulp fictions. Following Thomas Roberts,1 I will call diem junk fictions, under which rubric I will also include things like Harlequin romances; sci-fi, horror, and mystery magazines; comic books; and broadcast narratives on either the radio or TV, as well as commercial movies. There are a number of interesting philosophical questions diat we may ask aboutjunk fiction. We could, for example, attempt to characterize its essential features. However, for the present, I will assume that the preceding examples are enough to provide you with a rough-andready notion of what I am calling junk fiction, and I will attempt to explore anotiier feature of the phenomenon, viz., what I call the paradox ofjunk fiction. Thejunk fictions that I have in mind are all narratives. Indeed, dieir story dimension is die most important thing about diem. Stephen King, for instance, makes diis point by saying that he is primarily a story teller rather than a writer. Junk fictions aspire to be page-turners—the blurb on the cover of Stillwatch by Mary Higgins Clark says that it is "designed to be read at breatiitaking speed"—and what motivates turning die page so quickly is our interest in what happens next. We do not dawdle Philosophy and Literature, © 1994, 18: 225-241 226Philosophy and Literature over Clark's diction as we might over Updike's nor do we savor die complexity of her sentence structure, as we do widi Virginia Woolfs. Radier, we read for story. Moreover, junk fictions are die sort of narratives that commentators are wont to call formulaic. That is, junk fictions generally belong to well-entrenched genres, which diemselves are typified by tiieir possession of an extremely limited repertoire of story-types. For example, as John Cawelti has pointed out, one such recurring Western narrative is diat of the recendy pacifist gunfighter, like Shane, who is forced by circumstances to take up his pistols again, widi altogedier devastating effect.2 Junk fictions tell diese generic stories again and again with minor variations. Sometimes diese variations may be quite clever and unexpected. Agatiia Christie was the master of this; she was able to use the conventions of the mystery genre in order to "hide" her murderers. In TheMurderofRogerAckroyd, she "secrets" the murderer in the personage of the narrator; in Ten Little Indians, die murderer is a "dead man"; while in Murder on the Orient Express, all the suspects did it. In each of these cases, Christie's brilliance hinges upon her playing (and preying) upon conventional expectations. Neverdieless, even diese surprising variations require a well-established background of narrative forms. That is, in order to appreciate diese variations, die reader must in some sense know die standard story already. And with junk fiction, it is generally fair to say that in some sense, the reader—or, at least, the reader who has read around in die genre before—knows in rough oudine how die story is likely to go. Readers and/or viewers of Jurassic Park surmised, once die dinosaur enclosures were described, diat in fairly short order die dinosaurs would trample them down and go on the rampage—after all we had already seen or read The Lost World, King Kong, and their progeny. So, junk fictions are formulaic. They rehearse certain narrative formats again and again. And, furthermore, in some very general sense, the audience already knows die story in question. But this knowledge on die part of die audience provokes a question, specifically, why if the reader, viewer or listener already... (shrink)

This collection is a study of African literature framed by the central, and multi-faceted, idea of 'mother' - motherland, mothertongue, motherwit, motherhood, mothering - looking at the paradoxical location of other as both central and marginal. Whilst the volume stands as a sustained feminist analysis, it engages feminist theory itself by showing how issues in feminism are, in African literature, recast in different and complex ways.

The notion of grounding is usually conceived as an objective and explanatory relation. It connects two relata if one—the ground—determines or explains the other—the consequence. In the contemporary literature on grounding, much effort has been devoted to logically characterize the formal aspects of grounding, but a major hard problem remains: defining suitable grounding principles for universal and existential formulae. Indeed, several grounding principles for quantified formulae have been proposed, but all of them are exposed to paradoxes in some very (...) natural contexts of application. We introduce in this paper a first-order formal system that captures the notion of grounding and avoids the paradoxes in a novel and non-trivial way. The system we present formally develops Bolzano’s ideas on grounding by employing Hilbert’s ε-terms and an adapted version of Fine’s theory of arbitrary objects. (shrink)

Until recently, the paradoxes of set theory were hardly used at all in the analysis of dialectical contradiction. "Violations of the Aristotelian law of contradiction have been found everywhere except where logic and mathematics saw them." Today a practice of study of paradoxes in set theory by the devices of materialist dialectics is taking shape in our literature.

In lieu of an abstract, here is a brief excerpt of the content:Is Literature Self-Referential?Eric MillerIIs literary language necessarily self-referential? And does this put paradox at the heart of literature? For at least two decades now, affirmative answers to both questions have been articles of faith among critics in the structuralist and poststructuralist mainstream. Literature’s ineluctable paradoxicality attracts us so because a paradox suggests that there are limits to human rationality, and thus strikes a blow (...) for literature and against science. Paradox ensures literature its own special realm, safe from the culturally imperialistic inroads of science’s orderly, rational-empirical constructions. Literature thus gets to be seen as “bigger” than reason, because only literature can live with paradox, and thus only literature reveals those “deeper” truths of contradiction-ridden human existence, whereas science can never penetrate beyond rational manipulations of phenomenal surfaces. Indeed, for anyone who holds all human existence to be fundamentally paradoxical, this special capacity makes literature the only genuine, demystified species of human knowledge. In the war between C. P. Snow’s Two Cultures, a war humanists are now losing badly, we like to regard paradox as our ultimate weapon.Belief in the paradoxicality of literature may also be found among the New Critics, 1 and in fact goes back at least to the Romantics, 2 but they did not derive this belief from a necessary self-referentiality of literary language. This newer way of deriving paradox appears to offer several competitive advantages. Self-reference seems to be the ultimate version of “art for art’s sake”: if all literary language is necessarily self-referential, then literature must be something totally self-contained, and is thus legitimized solely in and through itself. In addition, deriving [End Page 475] literature’s paradoxicality from self-reference seems to ground it in the same conceptual realm as mathematical logic, and thus tempts us to claim for literature a “rigor” normally conceded only to logic, mathematics, and theoretical physics. Self-referentiality would thus seem both to protect literature’s autonomy and to raise its cultural status into the company of mathematics and science.But it is a trap. For behind this new strategy lurks a capitulation to the underlying conceptual scheme of natural science, and literature thus comes to be conceived, in effect, as a science. Self-reference is, after all, still a kind of reference; paradox is still a kind of truth-relational construction;—and truth-relations built around reference constitute the correspondence theory of truth. From such a foundational commitment to reference and correspondence-truth, flows the rest of the scientific worldview: the dualism of referring expression and referent, word and object, sentence and fact, theory and data, language and world, culture and nature. The presentation of literature as a quasi-negation of this ontology changes nothing. The dualism of reference still functions as literature’s conceptual starting point, as its arche. We only appear to be defining a peculiar and radically distinct sphere for literature when we insist on its self-referentiality, on the (recursive) identity, for it, of referring expression and referent. For, this is still to treat the conceptual distinction between the two as foundational, and literature thereby tacitly assimilates science’s fundamental categorial division: the referential language-world duality of correspondence truth. Indeed, literature thus comes to live even more completely in the margins of science: it will have no essence of its own; it will differ at most in being a photo-negative image of science’s positiv(istic) project. In Snow’s war, self-reference is a Trojan horse.With self-reference as the essence of literature, we are thus staking our reputations on literature’s being a special field of formalizable “knowledge about...,” rather than, say, a quality or kind or realm of possible experience—which is to adopt science’s understanding of what is important. Matters are only made worse by that other attempt to define literary studies as a negation of the theory-data dualism of natural science: the poststructuralist denial of the distinction between criticism and literature. For the institutional need professional critics have to be seen as a discipline with a method and a subject, as a form of “knowledge about,” hardly disappears with... (shrink)

Hempel first introduced the paradox of confirmation in (Hempel 1937). Since then, a very extensive literature on the paradox has evolved (Vranas 2004). Much of this literature can be seen as responding to Hempel’s subsequent discussions and analyses of the paradox in (Hempel 1945). Recently, it was noted that Hempel’s intuitive (and plausible) resolution of the paradox was inconsistent with his official theory of confirmation (Fitelson & Hawthorne 2006). In this article, we will try (...) to explain how this inconsistency affects the historical dialectic about the paradox and how it illuminates the nature of confirmation. In the end, we will argue that Hempel’s intuitions about the paradox of confirmation were (basically) correct, and that it is his theory that should be rejected, in favor of a (broadly) Bayesian account of confirmation. (shrink)