Categories And Contexts

Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.

Demographers tend to analyse population issues scientifically through sets of fixed social categories that are divorced from dynamic relationships and local contexts and processes. This volume questions these fixed categories.

Despite the wealth of empirical research currently available on the interrelationships of gender and labor, we still know comparatively little about the forms of classification and categorization that have helped shape these social phenomena over time. Categories in Context seeks to enrich our understanding of how cognitive categories such as status, law, and rights have been produced, comprehended, appropriated, and eventually transformed by relevant actors. By focusing on specific developments in France and Germany through a transnational lens, this volume produces insights that can be applied to a wide variety of political, social, and historical contexts.

Key Categories in the Study of Religion builds upon the groundwork laid by previous NAASR Working Papers titles in order to bring us full circle to the symbiotic relationship between context and critique. This volume assembles diverse sets of data to consider pertinent categories in which critique occurs. By looking at intentionally disparate case studies, the volume centers on four key contextual categories which stand at the heart of the academic study of religion: Citizenship and Politics, Class and Economy, Gender and Sexuality, and Race and Ethnicity. The contributors to this volume explore questions concerning how scholars construct such categories and/or critique scholars who do? Who decides how to approach the critical study of these topics? What impact does the context of a scholar's research have on the means and method of a given critique? Using these enquiries as a starting point, Key Categories in the Study of Religion investigates the ways that method, theory, and data are mobilized via context as the primary impetus for critical analysis. Each section begins with an orienting essay that explores its category. These introductory chapters include: i) an analysis of the construction of categories in academic literature; ii) an argument either advocating or critiquing scholarship carried out in that vein; and iii) an exploration of its implications for the study of religion. Each chapter is followed by four responses authored by scholars intentionally selected to highlight diverse contexts: subjects, fields, and methods. They extend the orienting essay's conclusions by offering novel analysis vis-a-vis their own scholarly expertise and subject matter. These chapters underscore instances of both congruence and difference to further refine our understanding of possible forms of critique relevant to each category.

Throughout its history as a social science, demography has been associated with an exclusively quantitative orientation for studying social problems. As a result, demographers tend to analyse population issues scientifically through sets of fixed social categories that are divorced from dynamic relationships and local contexts and processes. This volume questions these fixed categories in two ways. First, it examines the historical and political circumstances in which such categories had their provenance, and, second, it reassesses their uncritical applications over space and time in a diverse range of empirical case studies, encouraging throughout a constructive interdisciplinary dialogue involving anthropologists, demographers, historians, and sociologists. This volume seeks to examine the political complexities that lie at the heart of population studies by focusing on category formation, category use, and category critique. It shows that this takes the form of a dialectic between the needs for clarity of scientific and administrative analysis and the recalcitrant diversity of the social contexts and human processes that generate population change. The critical reflections of each chapter are enriched by meticulous ethnographic fieldwork and historical research drawn from every continent. This volume, therefore, exemplifies a new methodology for research in population studies, one that does not simply accept and re-use the established categories of population science but seeks critically and reflexively to explore, test, and re-evaluate their meanings in diverse contexts. It shows that for demography to realise its full potential it must urgently re-examine and contextualize the social categories used today in population research.

Mood, modality and evidentiality are popular and dynamic areas in linguistics. Re-Assessing Modalising Expressions – Categories, co-text, and context focuses on the specific issue of the ways language users express permission, obligation, volition (intention), possibility and ability, necessity and prediction linguistically. Using a range of evidence and corpus data collected from different sources, the authors of this volume examine the distribution and functions of a range of patterns involving modalising expressions as predominantly found in standard American English, British English or Hong Kong English, but also in Japanese. The authors are particularly interested in addressing (co-)textual manifestations of modalising expressions as well as their distribution across different text-types and thus filling a gap research was unable to plug in the past. Thoughts on categorising or re-categorising modalising expressions initiate and complement a multi-perspectival enterprise that is intended to bring research in this area a step forward.

In the past decade community groups have been portrayed as the solution to many social problems. Yet the role of ‘below the regulatory radar’ community action has received little research attention and thus is poorly understood in terms of both policy and practice. Focusing on self-organised community activity, this book offers the first collection of papers developing theoretical and empirically grounded knowledge of the informal, unregistered, yet largest, part of the voluntary sector. The collection includes work from leading academics, activists, policy makers and practitioners offering a new and coherent understanding of community action ‘below the radar’. The book is part of the Third Sector Research Series which is informed by research undertaken at the Third Sector Research Centre, funded by the Economic and Social Research Council and Barrow Cadbury Trust.

An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.