Set-Theoretic Methods for the Social Sciences

Set-Theoretic Methods for the Social Sciences PDF Author: Carsten Q. Schneider
Publisher: Cambridge University Press
ISBN: 1107013526
Category : Mathematics
Languages : en
Pages : 369

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Book Description
A 'user's guide' to Qualitative Comparative Analysis (QCA) and the methodological family of set-theoretic methods in social science.

Set-Theoretic Methods in Control

Set-Theoretic Methods in Control PDF Author: Franco Blanchini
Publisher: Birkhäuser
ISBN: 3319179330
Category : Science
Languages : en
Pages : 640

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Book Description
The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint. This approach is linked to fundamental control problems, such as Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. Completely self-contained, this book provides a solid foundation of mathematical techniques and applications, extensive references to the relevant literature, and numerous avenues for further theoretical study. All the material from the first edition has been updated to reflect the most recent developments in the field, and a new chapter on switching systems has been added. Each chapter contains examples, case studies, and exercises to allow for a better understanding of theoretical concepts by practical application. The mathematical language is kept to the minimum level necessary for the adequate formulation and statement of the main concepts, yet allowing for a detailed exposition of the numerical algorithms for the solution of the proposed problems. Set-Theoretic Methods in Control will appeal to both researchers and practitioners in control engineering and applied mathematics. It is also well-suited as a textbook for graduate students in these areas. Praise for the First Edition "This is an excellent book, full of new ideas and collecting a lot of diverse material related to set-theoretic methods. It can be recommended to a wide control community audience." - B. T. Polyak, Mathematical Reviews "This book is an outstanding monograph of a recent research trend in control. It reflects the vast experience of the authors as well as their noticeable contributions to the development of this field...[It] is highly recommended to PhD students and researchers working in control engineering or applied mathematics. The material can also be used for graduate courses in these areas." - Octavian Pastravanu, Zentralblatt MATH

The Logic of Social Science

The Logic of Social Science PDF Author: James Mahoney
Publisher: Princeton University Press
ISBN: 0691214956
Category : Political Science
Languages : en
Pages : 410

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Book Description
"Mahoney's starting point is the problem of essentialism in social science. Essentialism--the belief that the members of a category possess hidden properties ("essences") that make them members of the category and that endow them with a certain nature--is appropriate for scientific categories ("atoms", for instance) but not for human ones ("revolutions," for instance). Despite this, much social science research takes place from within an essentialist orientation; those who reject this assumption goes so far in the other direction as to reject the idea of an external reality, independent of human beings, altogether. Mahoney proposes an alternative approach that aspires to bridge this enduring rift in the social sciences between those who take a scientific approach and assume that social science categories correspond to external reality (and thus believe that the methods used in the natural sciences are generally appropriate for the social sciences) and those who take a constructivist approach and believe that because the categories used to understand the social world are humanly-constructed, they cannot possibly follow the science of the natural world. As the name suggests, scientific constructivism brings in aspects of both views and attempts to unite them. Drawing from cognitive science, it focuses on using the rational parts of our brain machinery to overcome the limitations and deeply seated biases (such as essentialism) of our evolved minds. Specifically, Mahoney puts forth a "set-theoretic analysis" that focuses on "sets" of categories as they exist in the mind that are also subject to the mathematical logic of set-theory. He spends the first four chapters of the book establishing the foundations and methods for set-theoretic analysis, the next four chapters looking and how this analysis fits with the existing tools of social science, and the final four chapters focusing on how this approach can be used to study and understand cases"--

Multi-Method Social Science

Multi-Method Social Science PDF Author: Jason Seawright
Publisher: Cambridge University Press
ISBN: 1107097711
Category : Political Science
Languages : en
Pages : 247

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Book Description
This book provides the first systematic guide to designing multi-method research, considering a wide range of statistical and qualitative tools.

Redesigning Social Inquiry

Redesigning Social Inquiry PDF Author: Charles C. Ragin
Publisher: University of Chicago Press
ISBN: 0226702790
Category : Social Science
Languages : en
Pages : 234

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Book Description
For over twenty years Charles C. Ragin has been at the forefront of the development of innovative methods for social scientists. In Redesigning Social Inquiry, he continues his campaign to revitalize the field, challenging major aspects of the conventional template for social science research while offering a clear alternative. Redesigning Social Inquiry provides a substantive critique of the standard approach to social research—namely, assessing the relative importance of causal variables drawn from competing theories. Instead, Ragin proposes the use of set-theoretic methods to find a middle path between quantitative and qualitative research. Through a series of contrasts between fuzzy-set analysis and conventional quantitative research, Ragin demonstrates the capacity for set-theoretic methods to strengthen connections between qualitative researchers’ deep knowledge of their cases and quantitative researchers’ elaboration of cross-case patterns. Packed with useful examples, Redesigning Social Inquiry will be indispensable to experienced professionals and to budding scholars about to embark on their first project.

Descriptive Set Theoretic Methods in Automata Theory

Descriptive Set Theoretic Methods in Automata Theory PDF Author: Michał Skrzypczak
Publisher: Springer
ISBN: 3662529475
Category : Mathematics
Languages : en
Pages : 212

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Book Description
The book is based on the PhD thesis “Descriptive Set Theoretic Methods in Automata Theory,” awarded the E.W. Beth Prize in 2015 for outstanding dissertations in the fields of logic, language, and information. The thesis reveals unexpected connections between advanced concepts in logic, descriptive set theory, topology, and automata theory and provides many deep insights into the interplay between these fields. It opens new perspectives on central problems in the theory of automata on infinite words and trees and offers very impressive advances in this theory from the point of view of topology. "...the thesis of Michał Skrzypczak offers certainly what we expect from excellent mathematics: new unexpected connections between a priori distinct concepts, and proofs involving enlightening ideas.” Thomas Colcombet.

Qualitative Comparative Analysis Using R

Qualitative Comparative Analysis Using R PDF Author: Ioana-Elena Oana
Publisher: Cambridge University Press
ISBN: 1316518728
Category : Language Arts & Disciplines
Languages : en
Pages : 249

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Book Description
"This book offers a hands-on introduction and teaching resource for students, users, and teachers of Qualitative Comparative Analysis (QCA; Ragin, 1987, 2000, 2008b). Given its superior ability to model certain aspects of complexity, QCA has made inroads into virtually every social science discipline and beyond. Software solutions for QCA have also been developing at a fast pace. This book seeks to reduce the time and effort required when we first encounter the logic of not just a new method but also new software. It offers a genuinely simple, intuitive, and hands-on resource for implementing the state-of-the-art protocol of QCA using R, the most advanced software environment for QCA. Our book has an applied and practical focus"--

Graph Theoretic Methods in Multiagent Networks

Graph Theoretic Methods in Multiagent Networks PDF Author: Mehran Mesbahi
Publisher: Princeton University Press
ISBN: 1400835356
Category : Mathematics
Languages : en
Pages : 424

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Book Description
This accessible book provides an introduction to the analysis and design of dynamic multiagent networks. Such networks are of great interest in a wide range of areas in science and engineering, including: mobile sensor networks, distributed robotics such as formation flying and swarming, quantum networks, networked economics, biological synchronization, and social networks. Focusing on graph theoretic methods for the analysis and synthesis of dynamic multiagent networks, the book presents a powerful new formalism and set of tools for networked systems. The book's three sections look at foundations, multiagent networks, and networks as systems. The authors give an overview of important ideas from graph theory, followed by a detailed account of the agreement protocol and its various extensions, including the behavior of the protocol over undirected, directed, switching, and random networks. They cover topics such as formation control, coverage, distributed estimation, social networks, and games over networks. And they explore intriguing aspects of viewing networks as systems, by making these networks amenable to control-theoretic analysis and automatic synthesis, by monitoring their dynamic evolution, and by examining higher-order interaction models in terms of simplicial complexes and their applications. The book will interest graduate students working in systems and control, as well as in computer science and robotics. It will be a standard reference for researchers seeking a self-contained account of system-theoretic aspects of multiagent networks and their wide-ranging applications. This book has been adopted as a textbook at the following universities: ? University of Stuttgart, Germany Royal Institute of Technology, Sweden Johannes Kepler University, Austria Georgia Tech, USA University of Washington, USA Ohio University, USA

A Tale of Two Cultures

A Tale of Two Cultures PDF Author: Gary Goertz
Publisher: Princeton University Press
ISBN: 0691149712
Category : Political Science
Languages : en
Pages : 248

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Book Description
Some in the social sciences argue that the same logic applies to both qualitative and quantitative methods. In A Tale of Two Cultures, Gary Goertz and James Mahoney demonstrate that these two paradigms constitute different cultures, each internally coherent yet marked by contrasting norms, practices, and toolkits. They identify and discuss major differences between these two traditions that touch nearly every aspect of social science research, including design, goals, causal effects and models, concepts and measurement, data analysis, and case selection. Although focused on the differences between qualitative and quantitative research, Goertz and Mahoney also seek to promote toleration, exchange, and learning by enabling scholars to think beyond their own culture and see an alternative scientific worldview. This book is written in an easily accessible style and features a host of real-world examples to illustrate methodological points.

The Science and Art of Interviewing

The Science and Art of Interviewing PDF Author: Kathleen Gerson
Publisher: Oxford University Press
ISBN: 019932431X
Category : Education
Languages : en
Pages : 192

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Book Description
Qualitative interviewing is among the most widely used methods in the social sciences, but it is arguably the least understood. In The Science and Art of Interviewing, Kathleen Gerson and Sarah Damaske offer clear, theoretically informed and empirically rich strategies for conducting interview studies. They present both a rationale and guide to the science-and art-of in-depth interviewing to take readers through all the steps in the research process, from the initial stage of formulating a question to the final one of presenting the results. Gerson and Damaske show readers how to develop a research design for interviewing, decide on and find an appropriate sample, construct a questionnaire, conduct probing interviews, and analyze the data they collect. At each stage, they also provide practical tips about how to address the ever-present, but rarely discussed challenges that qualitative researchers routinely encounter, particularly emphasizing the relationship between conducting well-crafted research and building powerful social theories. With an engaging, accessible style, The Science and Art of Interviewing targets a wide range of audiences, from upper-level undergraduates and graduate methods courses to students embarking on their dissertations to seasoned researchers at all stages of their careers.