To save content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about saving content to .
To save content items to your Kindle, first ensure no-reply@cambridge.org
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
This paper focuses on the epistemic significance of disagreement for a specific kind of contractualist (not contractarian) moral theory. I argue that a purely hypothetical version of contractualism excludes a prima facie attractive conciliationist view of disagreement simply because of the way it constructs the moral point of view. There is no room, in such an approach, for rational, hypothetical peer disagreement within the monological deliberative procedure itself. Attempts to supplement this monological procedure with a kind of post hoc appeal to actual disagreement undermine the basic rationale for adopting a hypothetical approach in the first place. An actual agreement approach to contractualism, by contrast, is well-positioned to take disagreement seriously. For such an approach, moral disagreement signals a failure to fully validate or constitute a binding norm, one that may produce – rather than merely result from – genuine moral indeterminacy. Furthermore, as each of our positions within contractualist discourse reflects a defeasible conviction about what could be the subject of genuine, intersubjective agreement among all affected, when we encounter disagreement that is not subject to clear defeaters, we do indeed have grounds to think our convictions may be mistaken, or that we must modify our credences in ways that reflect the risks we consciously run in defending and acting on convictions that do not enjoy justificatory completion.
This chapter examines the lively intellectual and artistic exchange between Pierre Boulez and John Cage that took place from 1949 to 1952. The writings of the French poet, dramatist, actor and visual artist Antonin Artaud (1886–1948) inspired the ‘organised delirium’ in Boulez’s Second Sonata for piano (1946–8). Its continuous variation and reading ‘a great deal of Artaud’, contributed to Cage’s decision to compose the Music of Changes (1951) using chance operations. Both composers were interested in ‘non-tempered pitch space’ – Cage, in his Sonatas and Interludes (1946–8) and Boulez in his Quatour pour Ondes Martenot (1945–6) and Le Visage nuptial (1946, 1948/1951–3). In the early 1950s, Cage and Boulez explored different approaches to a dialectical relationship between choice and chance, which eventually led to the publication of ‘Alea’, Boulez’s scathing condemnation of ‘accidental chance’ in 1957 and the end of their friendship.
One of life’s most fundamental revelations is change. Presenting the fascinating view that pattern is the manifestation of change, this unique book explores the science, mathematics, and philosophy of change and the ways in which they have come to inform our understanding of the world. Through discussions on chance and determinism, symmetry and invariance, information and entropy, quantum theory and paradox, the authors trace the history of science and bridge the gaps between mathematical, physical, and philosophical perspectives. Change as a foundational concept is deeply rooted in ancient Chinese thought, and this perspective is integrated into the narrative throughout, providing philosophical counterpoints to customary Western thought. Ultimately, this is a book about ideas. Intended for a wide audience, not so much as a book of answers, but rather an introduction to new ways of viewing the world.
This chapter begins by acknowledging the value of the classical model of scientific discovery with its commitment to isolating variables and cancelling out noise to give us a sense of significance in the numerical results produced. But the 20 chapters in this book amply demonstrate that in the real world of discovery things are messy, unpredictable, and highly differentiated within and across disciplines. Such enduring principles of discovery, emerging from the work of scientists and scholars, are identified not only for their intellectual value but also for their practical guidance for those engaged in advanced research.
The specificity of acts of reference emerges from their indexical nature, not from any fixed denotation inherent in referring expressions. Referential indeterminacy is generally not an issue or is easily corrected. But it can be taken advantage of when hierarchic relations are in play: people can deploy the semiotic potential of indeterminacy in ways that covertly index advantageous alignments based on shared values, while seeming to make the same acts of reference as participants in (apparently) the same discourse who are not angling for such alignments. The indexicality of such alignments provides ethnographic insight into the importance of these fields of discourse for those involved, how social actors exercise control or authority, for whose benefit, toward what desired outcome. To this end, I have coined strategically deployable shifter (SDS) as an analytic term for such discursive action, examining its use in higher education as linked to the financial and corporate spheres. I further explore how SDSs can figure into the processes of indexicality and rhematization (as proposed by Gal and Irvine) that are central to the modeling of those status-driven worlds.
This paper presents an algorithm for simulating multiple equilibria in otherwise-linear dynamic models with occasionally-binding constraints. Our algorithm extends the guess-and-verify approach of Guerrieri and Iacoviello (2015) to detect and simulate multiple perfect foresight equilibria, and allows arbitrary “news shocks” up to a finite horizon. When there are multiple equilibria, we show how to compute expected paths using a “prior probabilities” approach and we provide an approach for running stochastic simulations with switching between equilibria on the simulated path. A policy application studies a New Keynesian model with a zero lower bound on nominal interest rates and multiple equilibria, including a “bad” solution based on self-fulfilling pessimistic expectations. A price-level targeting rule does not always eliminate the bad solution, but it shrinks the indeterminacy region substantially and improves stabilization and welfare relative to more conventional interest rate rules or forward guidance.
This chapter focuses on work exploring the influence of ideology on judicial decision-making. It explores the nature of indeterminacy as developed by the Legal Realists and the Critical Legal Studies movement, the latter of whom regarded judicial decision-making as thoroughly political. It then takes up work, conducted largely by political scientists, that imagines judges as political actors in the same way that legislators are, and surveys both refinements to and critiques of that work.
This chapter introduces and unpacks the standard model of judging, which imagines a system in which independent judges apply pre-existing legal rules to determine the winner following an adversarial proceeding. It thus explores the concept of judicial independence and the ideal of the rule of law, revealing both to be more complex and contingent than first meets the eye. Judicial independence exists in relation to the actors and forces we want judges to be independent from and is necessarily tied to judicial accountability. The rule of law is necessarily an incompletely realizable ideal because lawmakers cannot perfectly anticipate the future and because the law is often motivated by conflicting values. Indeterminacy is the result. The idealized adversarial process is likewise only imperfectly realized, often by design.
It is argued that the generalizability theory interpretation of coefficient alpha is important. In this interpretation, alpha is a slightly biased but consistent estimate for the coefficient of generalizability in a subjects x items design where both subjects and items are randomly sampled. This interpretation is based on the “domain sampling” true scores. It is argued that these true scores have a more solid empirical basis than the true scores of Lord and Novick (1968), which are based on “stochastic subjects” (Holland, 1990), while only a single observation is available for each within-subject distribution. Therefore, the generalizability interpretation of coefficient alpha is to be preferred, unless the true scores can be defined by a latent variable model that has undisputed empirical validity for the test and that is sufficiently restrictive to entail a consistent estimate of the reliability—as, for example, McDonald’s omega. If this model implies that the items are essentially tau-equivalent, both the generalizability and the reliability interpretation of alpha can be defensible.
It was investigated whether commonly used factor score estimates lead to the same reproduced covariance matrix of observed variables. This was achieved by means of Schönemann and Steiger’s (1976) regression component analysis, since it is possible to compute the reproduced covariance matrices of the regression components corresponding to different factor score estimates. It was shown that Thurstone’s, Ledermann’s, Bartlett’s, Anderson-Rubin’s, McDonald’s, Krijnen, Wansbeek, and Ten Berge’s, as well as Takeuchi, Yanai, and Mukherjee’s score estimates reproduce the same covariance matrix. In contrast, Harman’s ideal variables score estimates lead to a different reproduced covariance matrix.
A summary and interpretation of the recent literature on the indeterminacy of factor scores is given in simple terms. A good index of factor score determinacy is the squared multiple correlation of the factor with the observed variables.
The subject of factor indeterminacy has a vast history in factor analysis (Guttman, 1955; Lederman, 1938; Wilson, 1928). It has lead to strong differences in opinion (Steiger, 1979). The current paper gives necessary and sufficient conditions for observability of factors in terms of the parameter matrices and a finite number of variables. Five conditions are given which rigorously define indeterminacy. It is shown that (un)observable factors are (in)determinate. Specifically, the indeterminacy proof by Guttman is extended to Heywood cases. The results are illustrated by two examples and implications for indeterminacy are discussed.
A construction method is given for all factors that satisfy the assumptions of the model for factor analysis, including partially determined factors where certain error variances are zero. Various criteria for the seriousness of indeterminacy are related. It is shown that Green's (1976) conjecture holds: For a linear factor predictor the mean squared error of prediction is constant over all possible factors. A simple and general geometric interpretation of factor indeterminacy is given on the basis of the distance between multiple factors. It is illustrated that variable elimination can have a large effect on the seriousness of factor indeterminacy. A simulation study reveals that if the mean square error of factor prediction equals .5, then two thirds of the persons are “correctly” selected by the best linear factor predictor.
In Europe, the integration process has domesticated international relations, safeguarded member-states’ democracies, and enabled collective action and supranational problem-solving. It has brought about the European Union (EU) and a democratic ‘surplus’. How has this been possible when the binding effect of EU law is grounded neither in the sovereign’s monopoly on power at the European level nor in the final decision-making authority of the EU? An answer to this puzzle is found in the fact that a public coercive framework has been established, which aims at solving the indeterminacy and assurance problems facing international cooperation. The enabling condition of sovereignty is replaced by those of co-legislation and a binding judicial process. The latter creates reasons for deference to legitimate authority and hence a compliance condition. However, since the Union falls short of meeting certain democratic standards, oversteps competences, and is plagued with inertia, there is a call for constitutional reform.
This chapter uses three classic examples to explain what entrepreneurship is NOT. Entrepreneurial decisions are different from managerial decisions, and cannot be understood within the neoclassical rational model. First, entrepreneurial decision-making is not scientific decision making, which is based on data and calculations, instead, it mainly depends on intuition, imagination, and judgement. Second, entrepreneurial decision-making is not about finding a solution under given constraints, instead it changes constraints. Third, entrepreneurial decision making is not solely profit focused, the entrepreneur has non-profit goals. Imagination is the most important for entrepreneurial decisions under an uncertain and indeterminate future. This means that mainstream economics’ externality theory, anti-monopoly theory, and corporate governance theory must all be revised. This also means industrial policy has lost its theoretical basis. This chapter is the core of the entire manuscript. It is extremely important for our understanding of the market economy.
In this concluding chapter, we identify two potent contributions of the concept of constitutional identity, underscoring and exploring its relationship with the associated ideas of disharmony and difference. We first discuss the relationship between constitutional identity and constitutional development, before turning to lessons that the concept of constitutional identity offers both scholars and practitioners. Against this background, we then identify three promising areas for future scholarly reflection and briefly sketch the first steps of a research agenda oriented towards carrying forward the project limned in this volume. Inspired by the analytic purpose underlying the concept of constitutional identity, our comments in this section are intended to be less prescriptive than interpretive. The scholarly futures we discuss emerge as much from the political world in which constitutional governance must now proceed as from the progress that scholars have made towards understanding the aspirations of that enterprise.
The Coda sketches how the distinctive tradition of uncertainty in nineteenth-century literature and culture changes with the rise of literary modernism. Uncertainty remains of vital interest to writers like Henry James, D. H. Lawrence, James Joyce, Virginia Woolf, and E. M. Forster. Yet a more self-conscious embrace of chance, contingency, and randomness, alongside a more thoroughgoing skepticism, disengages this writing from the earlier literature’s concerns. Further valences acquired by the concept of uncertainty in the early twentieth century – as radical indeterminacy in physics and contrast class to risk in economics – both intensify cultural interest in the topic and disarticulate its nineteenth-century framework. In a reading of Joseph Conrad’s novel Chance (1914), I argue that his emphasis on the value of momentary judgments, on knowledge as mercurial and provisional, and on the role of accident in literary plots all reprise Victorian tactics.
The International Law Commission has allegedly been in crisis from its first day of existence. Its own (former) members have been critical about its working methods, the topics it chooses to discuss, its relationship with other UN bodies, and even its aura. At the same time, the International Law Commission also paints more positive pictures of itself. This article aims to make sense of this dynamic without explaining, accepting or refuting any doubts or critiques. Instead, in an attempt to take these discussions to a new place, the article analyses the debates of the Committee of 17, which recommended the establishment of the International Law Commission in 1947. By combining literary, socio-legal and historical methods, it is argued that the ILC is founded on an embracing of uncertainty. As such, the Commission’s ambivalence towards itself is revealed as structural rather than illustrative of the institution being in crisis.
The introduction sets out the intent of the book, an overview of the major works in the field, and a view of the arguments appearing in each chapter. Gambling is central to the cultural, social, and intellectual history of the nineteenth century. Studying casino gambling provides a way to see how nineteenth-century Europeans understood their changing world, even as it also reflected those changes itself. In this way gambling was used in an explanatory capacity, one that let contemporaries probe the inner workings of the machine and the creation of knowledge. If we want to understand the intricate dance of society, culture, politics, and ideas, then gambling is a useful tool to pry open these different stories, allowing us to see better large historical transformations.