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This Element explores what it means for two theories in physics to be equivalent (or inequivalent), and what lessons can be drawn about their structure as a result. It does so through a twofold approach. On the one hand, it provides a synoptic overview of the logical tools that have been employed in recent philosophy of physics to explore these topics: definition, translation, Ramsey sentences, and category theory. On the other, it provides a detailed case study of how these ideas may be applied to understand the dynamical and spatiotemporal structure of Newtonian mechanics - in particular, in light of the symmetries of Newtonian theory. In so doing, it brings together a great deal of exciting recent work in the literature, and is sure to be a valuable companion for all those interested in these topics.
Cross-cultural research is now an undeniable part of mainstream psychology and has had a major impact on conceptual models of human behavior. Although it is true that the basic principles of social psychological methodology and data analysis are applicable to cross-cultural research, there are a number of issues that are distinct to it, including managing incongruities of language and quantifying cultural response sets in the use of scales. Cross-Cultural Research Methods in Psychology provides state-of-the-art knowledge about the methodological problems that need to be addressed if a researcher is to conduct valid and reliable cross-cultural research. It also offers practical advice and examples of solutions to those problems and is a must-read for any student of culture.
Ronald Burt describes the social structural theory of competition that has developed through the last two decades. The contrast between perfect competition and monopoly is replaced with a network model of competition. The basic element in this account is the structural hole: a gap between two individuals with complementary resources or information. When the two are connected through a third individual as entrepreneur, the gap is filled, creating important advantages for the entrepreneur. Competitive advantage is a matter of access to structural holes in relation to market transactions.
This book provides a practical but scientifically grounded step-by-step approach to the adaptation of tests in linguistic and cultural contexts.
Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials and differential operators. Particular emphasis is given to the construction and classification of invariants, and to the reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and other related fields.
This book is about scientific theories of a particular kind - theories of mathematical physics. Examples of such theories are classical and relativis tic particle mechanics, classical electrodynamics, classical thermodynamics, statistical mechanics, hydrodynamics, and quantum mechanics. Roughly, these are theories in which a certain mathematical structure is employed to make statements about some fragment of the world. Most of the book is simply an elaboration of this rough characterization of theories of mathematical physics. It is argued that each theory of mathematical physics has associated with it a certain characteristic mathematical struc ture. This structure may be used in a variety of ways to make empirical claims about putative applications of the theory. Typically - though not necessarily - the way this structure is used in making such claims requires that certain elements in the structure play essentially different roles. Some playa "theoretical" role; others playa "non-theoretical" role. For example, in classical particle mechanics, mass and force playa theoretical role while position plays a non-theoretical role. Some attention is given to showing how this distinction can be drawn and describing precisely the way in which the theoretical and non-theoretical elements function in the claims of the theory. An attempt is made to say, rather precisely, what a theory of mathematical physics is and how you tell one such theory from anothe- what the identity conditions for these theories are.
In this important book, Mark S. Mizruchi presents and tests an original model of corporate political behavior. He argues that because the business community is characterized by both unity and conflict, the key issue is not whether business is unified but the conditions under which unity or conflict occurs.
Toward a Structural Theory of Action: Network Models of Social Structure, Perception, and Action centers on the concept of social structure, perceptions, and actions, as well as the strategies through which these concepts guide empirical research. This book also proposes a model of status/role-sets as patterns of relationships defining positions in the social topology. This text consists of nine chapters separated into three parts. Chapter 1 introduces the goals and organization of the book. Chapters 2-4 provide analytical synopsis of available network models of social differentiation, and then use these models in describing actual stratification. Chapter 5 presents a model in which actor interests are captured. Subsequent chapter assesses the empirical adequacy of the two predictions described in this book. Then, other chapters provide a network model of constraint and its empirical adequacy. This book will be valuable to anthropologists, economists, political scientists, and psychologists.
The book shows the falsity of the opposition between action and structure by setting out a sophisticated view of social structure at two levels. The figurational structures of interaction orders, mapped through methods of social network analysis, can be seen as partitioned by underlying formational structures such as class and gender.
Reconsiders the role of formal logic in the analytic approach to philosophy, using cutting-edge mathematical techniques to elucidate twentieth-century debates.