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Analytic Hilbert Modules (Chapman And Hall/crc Research Notes In Mathematics Ser. #433)
by Kunyu Guo Xiaoman ChenThe seminal 1989 work of Douglas and Paulsen on the theory of analytic Hilbert modules precipitated a number of major research efforts. This in turn led to some intriguing and valuable results, particularly in the areas of operator theory and functional analysis. With the field now beginning to blossom, the time has come to collect those results un
Analytic Induction for Social Research
by Charles C. RaginA free ebook version of this title is available through Luminos, University of California Press’s Open Access publishing program. Visit www.luminosoa.org to learn more. This book explores analytic induction, an approach to the analysis of cross-case evidence on qualitative outcomes that has deep roots in sociology. A popular research technique in the early decades of empirical sociology, analytic induction differs fundamentally as a method of social research from conventional variation-based approaches. In Analytic Induction for Social Research, Charles C. Ragin demonstrates that much is gained from systematizing analytic induction. The approach he introduces here offers a new template for conducting cross-case analysis and provides a new set of tools for answering common research questions that existing methods cannot address.
Analytic Inequalities
by Nicholas D. KazarinoffMathematical analysis is largely a systematic study and exploration of inequalities -- but for students the study of inequalities often remains a foreign country, difficult of access. This book is a passport to that country, offering a background on inequalities that will prepare undergraduates (and even high school students) to cope with the concepts of continuity, derivative, and integral.Beginning with explanations of the algebra of inequalities and conditional inequalities, the text introduces a pair of ancient theorems and their applications. Explorations of inequalities and calculus cover the number e, examples from the calculus, and approximations by polynomials. The final sections present modern theorems, including Bernstein's proof of the Weierstrass approximation theorem and the Cauchy, Bunyakovskii, Hölder, and Minkowski inequalities. Numerous figures, problems, and examples appear throughout the book, offering students an excellent foundation for further studies of calculus.
Analytic Islamic Philosophy (Palgrave Philosophy Today)
by Anthony Robert BoothThis book is an introduction to Islamic Philosophy, beginning with its Medieval inception, right through to its more contemporary incarnations. Using the language and conceptual apparatus of contemporary Anglo-American ‘Analytic’ philosophy, this book represents a novel and creative attempt to rejuvenate Islamic Philosophy for a modern audience. It adopts a ‘rational reconstructive’ approach to the history of philosophy by affording maximum hermeneutical priority to the strongest possible interpretation of a philosopher’s arguments while also paying attention to the historical context in which they worked. The central canonical figures of Medieval Islamic Philosophy – al-Kindi, al-Farabi, Avicenna, al-Ghazali, Averroes – are presented chronologically along with an introduction to the central themes of Islamic theology and the Greek philosophical tradition they inherited. The book then briefly introduces what the author collectively refers to as the ‘Pre-Modern’ figures including Suhrawardi, Mulla Sadra, and Ibn Taymiyyah, and presents all of these thinkers, along with their Medieval predecessors, as forerunners to the more modern incarnation of Islamic Philosophy: Political Islam.
Analytic Learning Methods for Pattern Recognition
by Kar-Ann Toh Huiping Zhuang Simon Liu Zhiping LinThis textbook is a consolidation of learning methods which comes in an analytic form. The covered learning methods include classical and advanced solutions to problems of regression, minimum classification error, maximum receiver operating characteristics, bridge regression, ensemble learning and network learning. Both the primal and dual solution forms are discussed for over-and under-determined systems. Such coverage provides an important perspective for handling systems with overwhelming samples or systems with overwhelming parameters. For goal driven classification, the solutions to minimum classification-error, maximum receiver operating characteristics, bridge regression, and ensemble learning represent recent advancements in the literature. In this book, the exercises offer instructors and students practical experience with real-world applications.
Analytic Listening in Clinical Dialogue: Basic Assumptions (Routledge Focus on Mental Health)
by Dieter Bürgin Angelika Staehle Kerstin Westhoff Anna Wyler von BallmoosAnalytic Listening in Clinical Dialogue focuses on the work of four leading clinicians as they assess how their unconscious basic assumptions impact their clinical work. Using the case study of a seven-year-old boy, the authors evaluate a videotaped psychoanalytic first interview and exchange their mutual clinical approaches. Their discussions uncover the way that unconscious basic assumptions arise from the core of one’s personality and act as the pillars that support primary- and secondary-process thinking. These fundamental models of thought and emotion result in convictions which play a key role in the processes of understanding, evaluating, classifying, anticipating and regulating. The authors show how an ‘analytic listening’ approach can also be used to good effect in supervisions and intervisions, as it provides a path out of the domain of ‘being right’ into a space of what is shared as well as what is different. They argue that this method allows an analyst’s own blind spots to be reduced. Translated from the original German, Analytic Listening in Clinical Dialogue will be of great interest to psychoanalysts, psychotherapists and psychologists.
Analytic Methods for Coagulation-Fragmentation Models, Volume I (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Jacek Banasiak Wilson Lamb Philippe LaurencotAnalytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant early results obtained on the associated model equations. These provide motivation for the subsequent detailed treatment of more up-to-date investigations which have led to significant theoretical developments on topics such as solvability and the long-term behaviour of solutions. To make the account as self-contained as possible, the mathematical tools that feature prominently in these modern treatments are introduced at appropriate places. The main theme of Volume I is the analysis of linear fragmentation models, with Volume II devoted to processes that involve the nonlinear contribution of coagulation. Features of Volume I: The main models of the theory together with their derivations and early methods of solution A detailed presentation of the operator theoretical methods and semigroup theory that play an essential role in the theory of fragmentation processes A comprehensive theory of fragmentation processes, including fragmentation with growth and decay in both the discrete and continuous particle size cases An analytical explanation of the `pathologies’ of the fragmentation equation, such as the shattering phase transition and non-uniqueness of solutions An analysis of the long-term dynamics of the discrete size fragmentation equation with growth
Analytic Methods for Coagulation-Fragmentation Models, Volume II (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Jacek Banasiak Wilson Lamb Philippe LaurencotAnalytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant early results obtained on the associated model equations. These provide motivation for the subsequent detailed treatment of more up-to-date investigations which have led to significant theoretical developments on topics such as solvability and the long-term behaviour of solutions. To make the account as self-contained as possible, the mathematical tools that feature prominently in these modern treatments are introduced at appropriate places. The main theme of Volume I is the analysis of linear fragmentation models, with Volume II devoted to processes that involve the nonlinear contribution of coagulation. Features of Volume II: A primer on weak compactness in L 1 and dynamical systems A comprehensive theory of solvability of the coagulation-fragmentation equation by both the semigroup and weak compactness methods, including a thorough analysis of the gelation and shattering phenomena A detailed analysis of the long-term dynamics of the coagulation-fragmentation equations with a state-of-the-art discussion on self-similar solutions
Analytic Methods in Geomechanics
by Kam-tim ChauA multidisciplinary field, encompassing both geophysics and civil engineering, geomechanics deals with the deformation and failure process in geomaterials such as soil and rock. Although powerful numerical tools have been developed, analytical solutions still play an important role in solving practical problems in this area. Analytic Methods in Geomechanics provides a much-needed text on mathematical theory in geomechanics, beneficial for readers of varied backgrounds entering this field.Written for scientists and engineers who have had some exposure to engineering mathematics and strength of materials, the text covers major topics in tensor analysis, 2-D elasticity, and 3-D elasticity, plasticity, fracture mechanics, and viscoelasticity. It also discusses the use of displacement functions in poroelasticity, the basics of wave propagations, and dynamics that are relevant to the modeling of geomaterials. The book presents both the fundamentals and more advanced content for understanding the latest research results and applying them to practical problems in geomechanics.The author gives concise explanations of each subject area, using a step-by-step process with many worked examples. He strikes a balance between breadth of material and depth of details, and includes recommended reading in each chapter for readers who would like additional technical information. This text is suitable for students at both undergraduate and graduate levels, as well as for professionals and researchers.
Analytic Methods in Interdisciplinary Applications (Springer Proceedings in Mathematics & Statistics #116)
by Michael Ruzhansky Vladimir V. MityushevThe book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland. The contributions treat recent developments in analysis and surrounding areas, concerning topics from the theory of partial differential equations, function spaces, scattering, probability theory, and others, as well as applications to biomathematics, queueing models, fractured porous media and geomechanics.
Analytic Methods in Sports: Using Mathematics and Statistics to Understand Data from Baseball, Football, Basketball, and Other Sports
by Thomas A. SeveriniOne of the greatest changes in the sports world in the past 20 years has been the use of mathematical methods to analyze performances, recognize trends and patterns, and predict results. Analytic Methods in Sports: Using Mathematics and Statistics to Understand Data from Baseball, Football, Basketball, and Other Sports, Second Edition provides a concise yet thorough introduction to the analytic and statistical methods that are useful in studying sports. The book gives you all the tools necessary to answer key questions in sports analysis. It explains how to apply the methods to sports data and interpret the results, demonstrating that the analysis of sports data is often different from standard statistical analyses. The book integrates a large number of motivating sports examples throughout and offers guidance on computation and suggestions for further reading in each chapter. Features Covers numerous statistical procedures for analyzing data based on sports results Presents fundamental methods for describing and summarizing data Describes aspects of probability theory and basic statistical concepts that are necessary to understand and deal with the randomness inherent in sports data Explains the statistical reasoning underlying the methods Illustrates the methods using real data drawn from a wide variety of sports Offers many of the datasets on the author’s website, enabling you to replicate the analyses or conduct related analyses New to the Second Edition R code included for all calculations A new chapter discussing several more advanced methods, such as binary response models, random effects, multilevel models, spline methods, and principal components analysis, and more Exercises added to the end of each chapter, to enable use for courses and self-study Full solutions manual available to course instructors.
Analytic Methods in Systems and Software Testing
by Fabrizio Ruggeri Ron S. Kenett Frederick W. FaltinA comprehensive treatment of systems and software testing using state of the art methods and tools This book provides valuable insights into state of the art software testing methods and explains, with examples, the statistical and analytic methods used in this field. Numerous examples are used to provide understanding in applying these methods to real-world problems. Leading authorities in applied statistics, computer science, and software engineering present state-of-the-art methods addressing challenges faced by practitioners and researchers involved in system and software testing. Methods include: machine learning, Bayesian methods, graphical models, experimental design, generalized regression, and reliability modeling. Analytic Methods in Systems and Software Testing presents its comprehensive collection of methods in four parts: Part I: Testing Concepts and Methods; Part II: Statistical Models; Part III: Testing Infrastructures; and Part IV: Testing Applications. It seeks to maintain a focus on analytic methods, while at the same time offering a contextual landscape of modern engineering, in order to introduce related statistical and probabilistic models used in this domain. This makes the book an incredibly useful tool, offering interesting insights on challenges in the field for researchers and practitioners alike. Compiles cutting-edge methods and examples of analytical approaches to systems and software testing from leading authorities in applied statistics, computer science, and software engineering Combines methods and examples focused on the analytic aspects of systems and software testing Covers logistic regression, machine learning, Bayesian methods, graphical models, experimental design, generalized regression, and reliability models Written by leading researchers and practitioners in the field, from diverse backgrounds including research, business, government, and consulting Stimulates research at the theoretical and practical level Analytic Methods in Systems and Software Testing is an excellent advanced reference directed toward industrial and academic readers whose work in systems and software development approaches or surpasses existing frontiers of testing and validation procedures. It will also be valuable to post-graduate students in computer science and mathematics.
Analytic Methods of Sound Field Synthesis (T-Labs Series in Telecommunication Services)
by Jens AhrensThis book puts the focus on serving human listeners in the sound field synthesis although the approach can be also exploited in other applications such as underwater acoustics or ultrasonics. The author derives a fundamental formulation based on standard integral equations and the single-layer potential approach is identified as a useful tool in order to derive a general solution. He also proposes extensions to the single-layer potential approach which allow for a derivation of explicit solutions for circular, planar, and linear distributions of secondary sources. Based on above described formulation it is shown that the two established analytical approaches of Wave Field Synthesis and Near-field Compensated Higher Order Ambisonics constitute specific solutions to the general problem which are covered by the single-layer potential solution and its extensions.
Analytic Methods of Spectral Representations of Non-Selfadjoint (Lecture Notes in Mathematics #2355)
by Vladimir A. ZolotarevThis book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax–Phillips scattering theory. Here, a uniform conceptual approach is developed which organically unites all these theories. New analytic methods are introduced which make it possible to solve some important problems from the theory of spectral representations. Aimed at specialists in functional analysis, the book will also be accessible to senior mathematics students.
Analytic Narratives
by Margaret Levi Barry R. Weingast Robert H. Bates Avner Greif Jean-Laurent RosenthalStudents of comparative politics have long faced a vexing dilemma: how can social scientists draw broad, applicable principles of political order from specific historical examples? In Analytic Narratives, five senior scholars offer a new and ambitious methodological response to this important question. By employing rational-choice and game theory, the authors propose a way of extracting empirically testable, general hypotheses from particular cases. The result is both a methodological manifesto and an applied handbook that political scientists, economic historians, sociologists, and students of political economy will find essential. In their jointly written introduction, the authors frame their approach to the origins and evolution of political institutions. The individual essays that follow demonstrate the concept of the analytic narrative--a rational-choice approach to explain political outcomes--in case studies. Avner Greif traces the institutional foundations of commercial expansion in twelfth-century Genoa. Jean-Laurent Rosenthal analyzes how divergent fiscal policies affected absolutist European governments, while Margaret Levi examines the transformation of nineteenth-century conscription laws in France, the United States, and Prussia. Robert Bates explores the emergence of a regulatory organization in the international coffee market. Finally, Barry Weingast studies the institutional foundations of democracy in the antebellum United States and its breakdown in the Civil War. In the process, these studies highlight the economic role of political organizations, the rise and deterioration of political communities, and the role of coercion, especially warfare, in political life. The results are both empirically relevant and theoretically sophisticated. Analytic Narratives is an innovative and provocative work that bridges the gap between the game-theoretic and empirically driven approaches in political economy. Political historians will find the use of rational-choice models novel; theorists will discover arguments more robust and nuanced than those derived from abstract models. The book improves on earlier studies by advocating--and applying--a cross-disciplinary approach to explain strategic decision making in history.
Analytic Narratives
by Margaret Levi Barry R. Weingast Robert H. Bates Avner Greif Jean-Laurent RosenthalStudents of comparative politics have long faced a vexing dilemma: how can social scientists draw broad, applicable principles of political order from specific historical examples? In Analytic Narratives, five senior scholars offer a new and ambitious methodological response to this important question. By employing rational-choice and game theory, the authors propose a way of extracting empirically testable, general hypotheses from particular cases. The result is both a methodological manifesto and an applied handbook that political scientists, economic historians, sociologists, and students of political economy will find essential. In their jointly written introduction, the authors frame their approach to the origins and evolution of political institutions. The individual essays that follow demonstrate the concept of the analytic narrative--a rational-choice approach to explain political outcomes--in case studies. Avner Greif traces the institutional foundations of commercial expansion in twelfth-century Genoa. Jean-Laurent Rosenthal analyzes how divergent fiscal policies affected absolutist European governments, while Margaret Levi examines the transformation of nineteenth-century conscription laws in France, the United States, and Prussia. Robert Bates explores the emergence of a regulatory organization in the international coffee market. Finally, Barry Weingast studies the institutional foundations of democracy in the antebellum United States and its breakdown in the Civil War. In the process, these studies highlight the economic role of political organizations, the rise and deterioration of political communities, and the role of coercion, especially warfare, in political life. The results are both empirically relevant and theoretically sophisticated. Analytic Narratives is an innovative and provocative work that bridges the gap between the game-theoretic and empirically driven approaches in political economy. Political historians will find the use of rational-choice models novel; theorists will discover arguments more robust and nuanced than those derived from abstract models. The book improves on earlier studies by advocating--and applying--a cross-disciplinary approach to explain strategic decision making in history.
Analytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava
by Michael Th. Rassias Gradimir V. MilovanovićThis book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics and other computational and applied sciences.
Analytic Number Theory, Modular Forms and q-Hypergeometric Series: In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, March 2016 (Springer Proceedings in Mathematics & Statistics #221)
by George E. Andrews Frank GarvanGathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this volume features 40 articles by leading researchers on topics in analytic number theory, probabilistic number theory, irrationality and transcendence, Diophantine analysis, partitions, basic hypergeometric series, and modular forms. Readers will also find detailed discussions of several aspects of the path-breaking work of Srinivasa Ramanujan and its influence on current research. Many of the papers were motivated by Alladi's own research on partitions and q-series as well as his earlier work in number theory. <P><P> Alladi is well known for his contributions in number theory and mathematics. His research interests include combinatorics, discrete mathematics, sieve methods, probabilistic and analytic number theory, Diophantine approximations, partitions and q-series identities. Graduate students and researchers will find this volume a valuable resource on new developments in various aspects of number theory.
Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday
by Michael Th. Rassias Carl PomeranceThis volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and trigonometric sums and their behavior in short intervals, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted prime numbers, oscillation theorems for primes in arithmetic progressions, inequalities related to the distribution of primes in short intervals, the Möbius function, Euler's totient function, the Riemann zeta function and the Riemann Hypothesis. Graduate students, research mathematicians, as well as computer scientists and engineers who are interested in pure and interdisciplinary research, will find this volume a useful resource. Contributors to this volume: Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de la Bretèche, Christian Elsholtz, John B. Friedlander, Kevin Ford, Daniel A. Goldston, Steven M. Gonek, Andrew Granville, Adam J. Harper, Glyn Harman, D. R. Heath-Brown, Aleksandar Ivi, Geoffrey Iyer, Jerzy Kaczorowski, Daniel M. Kane, Sergei Konyagin, Dimitris Koukoulopoulos, Michel L. Lapidus, Oleg Lazarev, Andrew H. Ledoan, Robert J. Lemke Oliver, Florian Luca, James Maynard, Steven J. Miller, Hugh L. Montgomery, Melvyn B. Nathanson, Ashkan Nikeghbali, Alberto Perelli, Amalia Pizarro-Madariaga, János Pintz, Paul Pollack, Carl Pomerance, Michael Th. Rassias, Maksym Radziwi, Joël Rivat, András Sárközy, Jeffrey Shallit, Terence Tao, Gérald Tenenbaum, László Tóth, Tamar Ziegler, Liyang Zhang.
Analytic Pattern Matching
by Philippe Jacquet Wojciech SzpankowskiHow do you distinguish a cat from a dog by their DNA? Did Shakespeare really write all of his plays? Pattern matching techniques can offer answers to these questions and to many others, from molecular biology, to telecommunications, to classifying Twitter content. This book for researchers and graduate students demonstrates the probabilistic approach to pattern matching, which predicts the performance of pattern matching algorithms with very high precision using analytic combinatorics and analytic information theory. Part I compiles known results of pattern matching problems via analytic methods. Part II focuses on applications to various data structures on words, such as digital trees, suffix trees, string complexity and string-based data compression. The authors use results and techniques from Part I and also introduce new methodology such as the Mellin transform and analytic depoissonization. More than 100 end-of-chapter problems help the reader to make the link between theory and practice.
Analytic Philosophy Without Naturalism (Routledge Studies in Twentieth-Century Philosophy)
by Antonella Corradini Sergio Galvan E. Jonathan LoweIn recent years numerous attempts have been made by analytic philosophers to naturalize various different domains of philosophical inquiry. All of these attempts have had the common goal of rendering these areas of philosophy amenable to empirical methods, with the intention of securing for them the supposedly objective status and broad intellectual appeal currently associated with such approaches. This volume brings together internationally recognised analytic philosophers, including Alvin Plantinga, Peter van Inwagen and Robert Audi, to question the project of naturalism. The articles investigate what it means to naturalize a domain of philosophical inquiry and look at how this applies to the various sub-disciplines of philosophy including epistemology, metaphysics and the philosophy of the mind. The issue of whether naturalism is desirable is raised and the contributors take seriously the possibility that excellent analytic philosophy can be undertaken without naturalization. Controversial and thought-provoking, Analytic Philosophy Without Naturalism examines interesting and contentious methodological issues in analytic philosophy and explores the connections between philosophy and science.
Analytic Philosophy and Avicenna: Knowing the Unknown (Routledge Studies in Islamic Philosophy)
by Mohammad AzadpurThis work engages in a constructive, yet subtle, dialogue with the nuanced accounts of sensory intentionality and empirical knowledge offered by the Islamic philosopher Avicenna. This discourse has two main objectives: (1) providing an interpretation of Avicenna’s epistemology that avoids reading him as a precursor to British empiricists or as a full-fledged emanatist and (2) bringing light to the importance of Avicenna’s account of experience to relevant contemporary Anglo-American discussions in epistemology and metaphysics. These two objectives are interconnected. Anglo-American philosophy provides the framework for a novel reading of Avicenna on knowledge and reality, and the latter, in turn, contributes to adjusting some aspects of the former. Advancing the Avicennian perspective on contemporary analytic discourse, this volume is a key resource for researchers and students interested in comparative and analytic epistemology and metaphysics as well as Islamic philosophy.
Analytic Philosophy and the Later Wittgensteinian Tradition (History of Analytic Philosophy)
by Paolo TripodiThis book aims to explain the decline of the later Wittgensteinian tradition in analytic philosophy during the second half of the twentieth century. Throughout the 1950s, Oxford was the center of analytic philosophy and Wittgenstein – the later Wittgenstein – the most influential contemporary thinker within that philosophical tradition. Wittgenstein's methods and ideas were widely accepted, with everything seeming to point to the Wittgensteinian paradigm having a similar impact on the philosophical scenes of all English speaking countries. However, this was not to be the case. By the 1980s, albeit still important, Wittgenstein was considered as a somewhat marginal thinker. What occurred within the history of analytic philosophy to produce such a decline? This book expertly traces the early reception of Wittgenstein in the United States, the shift in the humanities to a tradition rooted in the natural sciences, and the economic crisis of the mid-1970s, to reveal the factors that contributed to the eventual hostility towards the later Wittgensteinian tradition.
Analytic Philosophy and the World of the Play (Routledge Advances in Theatre & Performance Studies)
by Michael Y. BennettTheatrical characters’ dual existence on stage and in text presents a unique, challenging case for the analytical philosopher. Analytic Philosophy and the World of the Play re-examines the ontological status of theatre and its fictional objects through the "possible worlds" thesis, arguing that theatre is not a mirror of our world, but a re-creation of it. Taking a fresh look at theatre’s key elements, including the hotly contested relationships between character and actor; onstage and offstage "worlds"; and the play-text and performance, Michael Y. Bennett presents a radical new way of understanding the world of the play.
Analytic Philosophy in America: And Other Historical and Contemporary Essays
by Scott SoamesIn this collection of recent and unpublished essays, leading analytic philosopher Scott Soames traces milestones in his field from its beginnings in Britain and Germany in the late nineteenth and early twentieth century, through its subsequent growth in the United States, up to its present as the world's most vigorous philosophical tradition. The central essay chronicles how analytic philosophy developed in the United States out of American pragmatism, the impact of European visitors and immigrants, the midcentury transformation of the Harvard philosophy department, and the rapid spread of the analytic approach that followed. Another essay explains the methodology guiding analytic philosophy, from the logicism of Frege and Russell through Wittgenstein's linguistic turn and Carnap's vision of replacing metaphysics with philosophy of science. Further essays review advances in logic and the philosophy of mathematics that laid the foundation for a rigorous, scientific study of language, meaning, and information. Other essays discuss W.V.O. Quine, David K. Lewis, Saul Kripke, the Frege-Russell analysis of quantification, Russell's attempt to eliminate sets with his "no class theory," and the Quine-Carnap dispute over meaning and ontology. The collection then turns to topics at the frontier of philosophy of language. The final essays, combining philosophy of language and law, advance a sophisticated originalist theory of interpretation and apply it to U.S. constitutional rulings about due process.