Quantification forms a significant aspect of cross-linguistic research into both sentence structure and meaning. This book surveys research in quantification starting with the foundational work in the 1970s. It paints a vivid picture of generalized quantifiers and Boolean semantics. It explains how the discovery of diverse scope behaviour in the 1990s transformed the view of quantification, and how the study of the internal composition of quantifiers has become central in recent years. It presents different approaches to the same problems, and links modern logic and formal semantics to advances in generative syntax. A unique feature of the book is that it systematically brings cross-linguistic data to bear on the theoretical issues, covering French, German, Dutch, Hungarian, Russian, Japanese, Telugu (Dravidian), and Shupamem (Grassfield Bantu) and points to formal semantic literature involving quantification in around thirty languages.

We live in a world where seemingly everything can be measured. We rely on indicators to translate social phenomena into simple, quantified terms, which in turn can be used to guide individuals, organizations, and governments in establishing policy. Yet counting things requires finding a way to make them comparable. And in the process of translating the confusion of social life into neat categories, we inevitably strip it of context and meaning—and risk hiding or distorting as much as we reveal. With The Seductions of Quantification, leading legal anthropologist Sally Engle Merry investigates the techniques by which information is gathered and analyzed in the production of global indicators on human rights, gender violence, and sex trafficking. Although such numbers convey an aura of objective truth and scientific validity, Merry argues persuasively that measurement systems constitute a form of power by incorporating theories about social change in their design but rarely explicitly acknowledging them. For instance, the US State Department’s Trafficking in Persons Report, which ranks countries in terms of their compliance with antitrafficking activities, assumes that prosecuting traffickers as criminals is an effective corrective strategy—overlooking cultures where women and children are frequently sold by their own families. As Merry shows, indicators are indeed seductive in their promise of providing concrete knowledge about how the world works, but they are implemented most successfully when paired with context-rich qualitative accounts grounded in local knowledge.

Revolutionary volume demonstrates how crossing the positivist and post-positivist divide improves political science research

In today’s world, numbers are in the ascendancy. Societies dominated by star ratings, scores, likes and lists are rapidly emerging, as data are collected on virtually every aspect of our lives. From annual university rankings, ratings agencies and fitness tracking technologies to our credit score and health status, everything and everybody is measured and evaluated. In this important new book, Steffen Mau offers a critical analysis of this increasingly pervasive phenomenon. While the original intention behind the drive to quantify may have been to build trust and transparency, Mau shows how metrics have in fact become a form of social conditioning. The ubiquitous language of ranking and scoring has changed profoundly our perception of value and status. What is more, through quantification, our capacity for competition and comparison has expanded significantly – we can now measure ourselves against others in practically every area. The rise of quantification has created and strengthened social hierarchies, transforming qualitative differences into quantitative inequalities that play a decisive role in shaping the life chances of individuals. This timely analysis of the pernicious impact of quantification will appeal to students and scholars across the social sciences, as well as anyone concerned by the cult of numbers and its impact on our lives and societies today.

This textbook teaches the essential background and skills for understanding and quantifying uncertainties in a computational simulation, and for predicting the behavior of a system under those uncertainties. It addresses a critical knowledge gap in the widespread adoption of simulation in high-consequence decision-making throughout the engineering and physical sciences. Constructing sophisticated techniques for prediction from basic building blocks, the book first reviews the fundamentals that underpin later topics of the book including probability, sampling, and Bayesian statistics. Part II focuses on applying Local Sensitivity Analysis to apportion uncertainty in the model outputs to sources of uncertainty in its inputs. Part III demonstrates techniques for quantifying the impact of parametric uncertainties on a problem, specifically how input uncertainties affect outputs. The final section covers techniques for applying uncertainty quantification to make predictions under uncertainty, including treatment of epistemic uncertainties. It presents the theory and practice of predicting the behavior of a system based on the aggregation of data from simulation, theory, and experiment. The text focuses on simulations based on the solution of systems of partial differential equations and includes in-depth coverage of Monte Carlo methods, basic design of computer experiments, as well as regularized statistical techniques. Code references, in python, appear throughout the text and online as executable code, enabling readers to perform the analysis under discussion. Worked examples from realistic, model problems help readers understand the mechanics of applying the methods. Each chapter ends with several assignable problems. Uncertainty Quantification and Predictive Computational Science fills the growing need for a classroom text for senior undergraduate and early-career graduate students in the engineering and physical sciences and supports independent study by researchers and professionals who must include uncertainty quantification and predictive science in the simulations they develop and/or perform.

The analysis of recurrences in dynamical systems by using recurrence plots and their quantification is still an emerging field. Over the past decades recurrence plots have proven to be valuable data visualization and analysis tools in the theoretical study of complex, time-varying dynamical systems as well as in various applications in biology, neuroscience, kinesiology, psychology, physiology, engineering, physics, geosciences, linguistics, finance, economics, and other disciplines. This multi-authored book intends to comprehensively introduce and showcase recent advances as well as established best practices concerning both theoretical and practical aspects of recurrence plot based analysis. Edited and authored by leading researcher in the field, the various chapters address an interdisciplinary readership, ranging from theoretical physicists to application-oriented scientists in all data-providing disciplines.

This book deals with the application of spectral methods to problems of uncertainty propagation and quanti?cation in model-based computations. It speci?cally focuses on computational and algorithmic features of these methods which are most useful in dealing with models based on partial differential equations, with special att- tion to models arising in simulations of ?uid ?ows. Implementations are illustrated through applications to elementary problems, as well as more elaborate examples selected from the authors’ interests in incompressible vortex-dominated ?ows and compressible ?ows at low Mach numbers. Spectral stochastic methods are probabilistic in nature, and are consequently rooted in the rich mathematical foundation associated with probability and measure spaces. Despite the authors’ fascination with this foundation, the discussion only - ludes to those theoretical aspects needed to set the stage for subsequent applications. The book is authored by practitioners, and is primarily intended for researchers or graduate students in computational mathematics, physics, or ?uid dynamics. The book assumes familiarity with elementary methods for the numerical solution of time-dependent, partial differential equations; prior experience with spectral me- ods is naturally helpful though not essential. Full appreciation of elaborate examples in computational ?uid dynamics (CFD) would require familiarity with key, and in some cases delicate, features of the associated numerical methods. Besides these shortcomings, our aim is to treat algorithmic and computational aspects of spectral stochastic methods with details suf?cient to address and reconstruct all but those highly elaborate examples.