Bounded Meaning


Book Description

Bounded Meaning investigates the dynamics of interpretation: how and why the interpretation of the building blocks of human language is sensitive, not just to the context in which the expression is used, but also to the expression's linguistic environment—in other words, how and why interpretation depends not just on global information, but also on local information. Matthew Mandelkern motivates a range of generalizations about the dynamics of interpretation, some known and some novel, involving modals, conditionals, and anaphora, and an overview of the best extant theory of those patterns, dynamic semantics, is provided. After bringing out the striking motivations and successes of that framework, the discussion turns to criticisms of dynamic semantics, focusing on its puzzling predictions about the logic of natural language. In response to these problems, Mandelkern develops a novel framework for explaining dynamic phenomena without dynamic semantics: the bounded theory of meaning. On the bounded theory, dynamic phenomena arise from the interaction of two dimensions of meaning. One dimension is a standard truth-conditional layer, which, relative to a context of use, associates each sentence with a proposition. The second dimension, the dimension of bounds, limits the admissible interpretations of an expression, relative to the expression's context of use and its local information. Bounds thus play an essential role in coordinating on the resolution of context-sensitive language, explaining dynamic effects in natural language while avoiding a variety of problematic predictions of dynamic semantics.




Brownian Motion, Hardy Spaces and Bounded Mean Oscillation


Book Description

This exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO) introduces the subject by concentrating on the connection between the probabilistic and analytic approaches. Short surveys of classical results on the maximal, square and Littlewood-Paley functions and the theory of Brownian motion introduce a detailed discussion of the Burkholder-Gundy-Silverstein characterization of HP in terms of maximal functions. The book examines the basis of the abstract martingale definitions of HP and BMO, makes generally available for the first time work of Gundy et al. on characterizations of BMO, and includes a probabilistic proof of the Fefferman-Stein Theorem on the duality of H11 and BMO.




The Hardie Inheritance


Book Description

This third novel in the Hardie series sees Grace Hardie choosing to stay out if the marriage race. Instead, she devotes her time to her work as a sculptor, living in Greystones, the mansion she has inherited but can no longer afford to maintain in the style it deserves. Her mother and brother are the only companions in her narrow existence. Then, one summer day in 1932, four uninvited guests arrive from the outside world. Lord Rupert Beverley has discovered that the Hardies are linked to his family by marriage. Andy Frith, the gardener's son who was Grace's childhood sweetheart, returns from France to see his dying father. Ellis Faraday, the son of the architect who designed Greystones, calls for permission to photograph his father's first major work. And with him he brings Trish, his charming young daughter. The arrival of the four together will change Grace's life for unexpected happiness, wealth and fulfilment follow. But so too do family squabbles and difficult decisions about who is to become the Greystones heir. The Hardie Inheritance, the last instalment in the Hardie series was first published in 1990.




White Bound


Book Description

Discussions of race are inevitably fraught with tension, both in opinion and positioning. Too frequently, debates are framed as clear points of opposition—us versus them. And when considering white racial identity, a split between progressive movements and a neoconservative backlash is all too frequently assumed. Taken at face value, it would seem that whites are splintering into antagonistic groups, with differing worldviews, values, and ideological stances. White Bound investigates these dividing lines, questioning the very notion of a fracturing whiteness, and in so doing offers a unique view of white racial identity. Matthew Hughey spent over a year attending the meetings, reading the literature, and interviewing members of two white organizations—a white nationalist group and a white antiracist group. Though he found immediate political differences, he observed surprising similarities. Both groups make meaning of whiteness through a reliance on similar racist and reactionary stories and worldviews. On the whole, this book puts abstract beliefs and theoretical projection about the supposed fracturing of whiteness into relief against the realities of two groups never before directly compared with this much breadth and depth. By examining the similarities and differences between seemingly antithetical white groups, we see not just the many ways of being white, but how these actors make meaning of whiteness in ways that collectively reproduce both white identity and, ultimately, white supremacy.




Domain-driven Design


Book Description

"Domain-Driven Design" incorporates numerous examples in Java-case studies taken from actual projects that illustrate the application of domain-driven design to real-world software development.




Mathematics


Book Description

Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.




Lectures on Real Analysis


Book Description

This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis.




Bounded Rationality


Book Description

In a complex and uncertain world, humans and animals make decisions under the constraints of limited knowledge, resources, and time. Yet models of rational decision making in economics, cognitive science, biology, and other fields largely ignore these real constraints and instead assume agents with perfect information and unlimited time. About forty years ago, Herbert Simon challenged this view with his notion of "bounded rationality." Today, bounded rationality has become a fashionable term used for disparate views of reasoning. This book promotes bounded rationality as the key to understanding how real people make decisions. Using the concept of an "adaptive toolbox," a repertoire of fast and frugal rules for decision making under uncertainty, it attempts to impose more order and coherence on the idea of bounded rationality. The contributors view bounded rationality neither as optimization under constraints nor as the study of people's reasoning fallacies. The strategies in the adaptive toolbox dispense with optimization and, for the most part, with calculations of probabilities and utilities. The book extends the concept of bounded rationality from cognitive tools to emotions; it analyzes social norms, imitation, and other cultural tools as rational strategies; and it shows how smart heuristics can exploit the structure of environments.







Quantum Functional Analysis


Book Description

Interpreting ""quantized coefficients"" as finite rank operators in a fixed Hilbert space allows the author to replace matrix computations with algebraic techniques of module theory and tensor products, thus achieving a more invariant approach to the subject.