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L. E. J. Brouwer, the founder of mathematical intuitionism, believed that mathematics and its objects must be humanly graspable. He initiated a program rebuilding modern mathematics according to that principle. This book introduces the reader to the mathematical core of intuitionism – from elementary number theory through to Brouwer's uniform continuity theorem – and to the two central topics of 'formalized intuitionism': formal intuitionistic logic, and formal systems for intuitionistic analysis. Building on that, the book proposes a systematic, philosophical foundation for intuitionism that weaves together doctrines about human grasp, mathematical objects and mathematical truth.
Casting is the process by which directors assign parts to actors, creating the idea of the character for the audience. Casting is how we rehearse change, as we come to see an expanded repertoire of the kinds of bodies that are selected to play the lead, the hero, and the villain. This Element focuses on the casting in productions of Shakespeare from 2017–2020 to demonstrate how casting functions affectively and cognitively to reimagine who can be what. The central argument is that directors are using casting as the central mode of meaning-making in productions of Shakespeare.
Teach the world to sing, and all will be in perfect harmony - or so the songs tell us. Music is widely believed to unify and bring peace, but the focus on music as a vehicle for fostering empathy and reconciliation between opposing groups threatens to overly simplify our narratives of how interpersonal conflict might be transformed. This Element offers a critique of empathy's ethical imperative of radical openness and positions the acknowledgement of moral responsibility as a fundamental component of music's capacity to transform conflict. Through case studies of music and conflict transformation in Australia and Canada, Music Transforming Conflict assesses the complementary roles of musically mediated empathy and guilt in post-conflict societies and argues that a consideration of musical and moral implication as part of studies on music and conflict offers a powerful tool for understanding music's potential to contribute to societal change.
Voltaire's correspondence has been described as his 'greatest masterpiece' – but if it is, it is also his least studied. One of the most prodigious correspondences in Western literature, it poses significant interpretative challenges to the critic and reader alike. Considered individually, the letters present a series of complex, subtle, and playful literary performances; taken together, they constitute a formidable, and even forbidding, ensemble. How can modern readers even attempt to understand such an imposing work? This Element addresses this question through the use of digital reading methods and resources that enhance our understanding of this complex literary object and its relationship to Voltaire's more canonical literary output, and indeed to the Enlightenment world at large. Nicholas Cronk and Glenn Roe provide scholars and students with new pathways into this particular corpus, using tools and approaches that can then be applied to correspondences and life-writing texts in all languages and periods.
This Element provides the first in-depth study of the present-day all-boy company, Edward's Boys, who are based at King Edward VI School ('Shakespeare's School') in Stratford-upon-Avon. Since 2005, the company has produced a wide array of early modern plays, providing the most substantial repertory of early modern drama available for examination by scholars. The Element provides a comprehensive account of the company's practices, drawing on extensive rehearsal and performance observation, evidence from the company's archive, and interviews with actors and key company personnel. The Element takes account of the company's particular educational and strongly interpersonal environment, suggesting that these factors have a distinctive shaping force on their performance practice. In the hands of Edward's Boys, the Element argues, early modern drama becomes the source of company creation, ensemble practice, and virtuosic physical play, inviting us to reimagine what it means – and takes – to perform these plays today.
The focus of this Element is on the environment and how it is implicated in children's development.A very broad array of social and physical features connected to children's home life and to the neighborhoods where children live, including multiple aspects of parenting, housing characteristics and the increased prevalence of media in daily life are addressed.Attention is also given to the broader social, economic, and geographic contexts in which children live, such as neighborhood surroundings and conditions in less developed countries.There is a focus on how various aspects of the home context (e.g., crowding) and key parental characteristics, such as mental illness and substance abuse problems, affect the behavior of parents. Consideration also given to how various forms of chaos and instability present challenges for parents and children and how those circumstances are implicated in both children's development and caregiver behavior.
This Element offers a new approach to ancient Egyptian images informed by interdisciplinary work in archaeology, anthropology, and art history. Sidestepping traditional perspectives on Egyptian art, the Element focuses squarely on the ontological status of the image in ancient thought and experience. To accomplish this, section 2 takes up a number of central Egyptian terms for images, showing that a close examination of their etymology and usage can help resolve long-standing question on Egyptian imaging practices. Section 3 discusses ancient Egyptian experiences of materials and manufacturing processes, while section 4 categorizes and discusses the different purposes and functions for which images were created. The Element as a whole thus offers a concise introduction to ancient Egyptian imaging practices for an interdisciplinary readership, while at the same introducing new ways of thinking about familiar material for the Egyptological reader.
What are the consequences when politicians make prejudiced statements? Theories about the suppression of prejudice argue that people are likely to express more prejudice when they believe that norms are more permissive than they may have otherwise assumed. Using a series of experiments carried out during and since the 2016 campaign, Brian Schaffner shows that being exposed to Donald Trump's prejudiced rhetoric causes people to express more prejudice themselves. Notably, this is not merely a 'Trump Effect;' people's commitment to anti-prejudice norms is undermined even when exposed to prejudiced rhetoric attributed to unnamed politicians. These findings are consequential; if politicians increasingly feel at liberty to express explicit prejudice, then the mass public is likely to take cues from such behavior, leading them to express more prejudice themselves. This may lead to increasingly heightened inter-group tensions which could pose a threat to political and social stability in the United States.
Throughout the 1990s many countries around the world experienced the beginnings of what would later become the most significant and protracted decline in crime ever recorded. Although not a universal experience, the so-called international crime-drop was an unpredicted and unprecedented event which now offers fertile ground for reflection on many of criminology's key theories and debates. Through the lens of developmental and life-course criminology, this Element compares the criminal offending trajectories of two Australian birth cohorts born ten years apart in 1984 and 1994. It finds that the crime-drop was unlikely the result of any significant change in the prevalence or persistence of early-onset and chronic offending, but the disproportionate disappearance of their low-rate, adolescent-onset peers. Despite decades of research that has prioritized interventions for at-risk chronic offenders, it seems our greatest global crime prevention achievement to date was in reducing the prevalence of criminal offending in the general population.
Paradoxically, doing corpus linguistics is both easier and harder than it has ever been before. On the one hand, it is easier because we have access to more existing corpora, more corpus analysis software tools, and more statistical methods than ever before. On the other hand, reliance on these existing corpora and corpus linguistic methods can potentially create layers of distance between the researcher and the language in a corpus, making it a challenge to do linguistics with a corpus. The goal of this Element is to explore ways for us to improve how we approach linguistic research questions with quantitative corpus data. We introduce and illustrate the major steps in the research process, including how to: select and evaluate corpora, establish linguistically-motivated research questions, observational units and variables, select linguistically interpretable variables, understand and evaluate existing corpus software tools, adopt minimally sufficient statistical methods, and qualitatively interpret quantitative findings.
Working memory and perceptual attention are related functions, engaging many similar mechanisms and brain regions. As a consequence, behavioral and neural measures often reveal competition between working memory and attention demands. Yet there remains widespread debate about how working memory operates, and whether it truly shares processes and representations with attention. This Element will examine local-level representational properties to illuminate the storage format of working memory content, as well as systems-level and brain network communication properties to illuminate the attentional processes that control working memory. The Element will integrate both cognitive and neuroscientific accounts, describing shared substrates for working memory and perceptual attention, in a multi-level network architecture that provides robustness to disruptions and allows flexible attentional control in line with goals.
Gender is a highly salient and important social group that shapes how children interact with others and how they are treated by others. In this Element, we offer an overview and review of the research on gender development in childhood from a developmental science perspective. We first define gender and the related concepts of sex and gender identity. Second, we discuss how variations in cultural context shape gender development around the world and how variations within gender groups add to the complexity of gender identity development. Third, we discuss major theoretical perspectives in developmental science for studying child gender. Fourth, we examine differences and similarities between girls and boys using the latest meta-analytic evidence. Fifth, we discuss the development of gender, gender identity, and gender socialization throughout infancy, early childhood, and middle childhood. We conclude with a discussion of future directions for the study of gender development in childhood.
This Element provides an overview of the central components of recent work in virtue ethics. The first section explores central themes in neo-Aristotelian virtue ethics, while the second turns the discussion to major alternative theoretical perspectives. The third section focuses on two challenges to virtue ethics. The first challenge is the self-centeredness or egoism objection, which is the notion that certain kinds of virtue ethics are inadequate because they advocate a focus on the person's own virtue and flourishing at the expense of, or at least without due regard for, the concerns of others. The second is situationist challenges to the ideas that there are indeed virtues and that personality is integrated enough to support virtues.
This Element defends an interpretation of Plato's Ion on which its primary concern is with audience reception of poetry. The dialogue countenances and rejects two models of poetic reception, the expertise model and the inspiration model, both of which make the audience entirely passive in relation to poetry; and it presents the character of Ion as a comedic figure, a self-ignorant fool whose foolishness is a function of his passive relation to Homer. In the end, this Element argues that, for Plato, critical engagement is the proper way for audiences to treat poetry. This view holds open the possibility that poetry may express some truths without thereby endorsing the idea that poets are experts who have authoritative knowledge.
This Element addresses the topical debate on blackface, race and Othello. With Shakespeare performance studies being rather Anglo-centric, the author explores how this debate has taken a radically different course in the Netherlands, a country historically perceived as tolerant and culturally close to the UK. Through several case studies, including the Van Hove Othello of 2003/2012 and the latest, controversial 2018/2020 Othello, the first main house production with a black actor as Othello, the author analyses the interaction between blackface and (institutional) racism in Dutch society and theatre and how Othello has become an active player in this debate.
Natural selection has operated as strongly or more so on the early stages of the lifespan as on adulthood. One evolved feature of human childhood is high levels of behavioral, cognitive, and neural plasticity, permitting children to adapt to a wide range of physical and social environments. Taking an evolutionary perspective on infancy and childhood provides a better understanding of contemporary human development, predicting and understanding adult behavior, and explaining how changes in the early development of our ancestors produced contemporary Homo sapiens.
Violence in video games has been a controversial object of public discourse for several decades. The question of what kind of emotional experiences players enact when playing with representations of physical violence in games has been largely ignored however. Building upon an extensive ethnographic study of players' emotional practices in video games, including participant observation in online games, qualitative interviews, an analysis of YouTube videos and gaming magazines since the 1980s, this Element provides new insights into the complexity and diversity of player experiences and the pleasures of playful virtual violence. Instead of either defending or condemning the players, it contributes foundational, unprejudiced knowledge for a societal and academic debate on a critical aspect of video gaming. This title is also available as Open Access on Cambridge Core.
The Doctrine of the Incarnation, that Jesus Christ was both truly God and truly human, is the foundation and cornerstone of traditional Christian theism. And yet, this traditional teaching appears to verge on incoherence. How can one person be both God, having all the perfections of divinity, and human, having all the limitations of humanity? This is the fundamental philosophical problem of the incarnation. Perhaps a solution is found in an analysis of what the traditional teaching meant by person, divinity, and humanity, or in understanding how divinity and humanity were united in a single person? This Element presents that traditional teaching, then returns to the incoherence problem to showcase various solutions that have been offered to it.
We elaborate a general workflow of weighting-based survey inference, decomposing it into two main tasks. The first is the estimation of population targets from one or more sources of auxiliary information. The second is the construction of weights that calibrate the survey sample to the population targets. We emphasize that these tasks are predicated on models of the measurement, sampling, and nonresponse process whose assumptions cannot be fully tested. After describing this workflow in abstract terms, we then describe in detail how it can be applied to the analysis of historical and contemporary opinion polls. We also discuss extensions of the basic workflow, particularly inference for causal quantities and multilevel regression and poststratification.
This Element seeks to make sense of Southeast Asia's numerous armed conflicts. It makes four contributions. First, this study provides a typology, distinguishing between revolutionary, secessionist, and communal conflicts. The first two are types of insurgencies, while the latter are ethnic conflicts. Second, this study emphasizes the importance of ethnicity in shaping conflict dynamics. This is true even for revolutionary conflicts, which at first glance may appear unrelated to ethnicity. A third contribution relates to broad conflict trends. Revolutionary and secessionist conflicts feature broad historical arcs, with clear peaks and declines, while communal conflicts occur more sporadically. The fourth contribution ties these points together by focusing on conflict management. Just as ethnicity shapes conflicts, ethnic leaders and traditions can also promote peace. Cultural mechanisms are especially important for managing communal conflicts, the lone type not declining in Southeast Asia.