First Published in 2003. In this book on what theory means today, the general editor of the Norton Anthology of Criticism and Theory explores how theory has altered the way the humanities do business. Theory got personal, went global, became popular, and in the process has changed everything we thought we knew about intellectual life. One of the most adroit and perceptive observers of the critical scene, Vincent Leitch offers these engaging snapshots to show how theory is at work. This is an utterly readable little book by one of our best historians on the theoretical turn that over the past thirty years has so powerfully changed the academy.

A Key Stage 3 book designed for pupils who find music theory difficult to understand and remember. The content is differentiated at three levels to cater for differing abilities and experience, and a corresponding teacher's resource pack is also available.

Over the past decade, Critical Race Theory (CRT) scholars in education have produced a significant body of work theorizing the impact of race and racism in education. Critical Race Theory Matters provides a comprehensive and accessible overview of this influential movement, shining its keen light on specific issues within education. Through clear and accessible language, the authors synthesize scholarship in the field, highlight major themes and assumptions, and examine strategies of resistance and practices for challenging the existing inequalities in education. By linking theory to everyday practices in today’s classroom, students will understand how CRT is relevant to a host of timely topics, from macro-policies such as Bilingual Education and Affirmative Action to micro-policies such as classroom management and curriculum. Moving beyond identifying problems into the realm of problem solving, Critical Race Theory Matters is a call to action to put into praxis a radical new vision of education in support of equality and social justice.

What exactly is critical race theory? This concise and accessible exploration demystifies a crucial framework for understanding and fighting racial injustice in the United States. “A clear-eyed, expert field guide.”—Dr. Tressie McMillan Cottom, author of Thick From renowned scholar Dr. Victor Ray, On Critical Race Theory explains the centrality of race in American history and politics, and how the often mischaracterized intellectual movement became a political necessity. Ray draws upon the radical thinking of giants such as Ida B. Wells, W.E.B. Du Bois, and Dr. Martin Luther King, Jr., to clearly trace the foundations of critical race theory in the Black intellectual traditions of emancipation and the civil rights movement. From these foundations, Ray explores the many facets of our society that critical race theory interrogates, from deeply embedded structural racism to the historical connection between whiteness and property, ownership, and more. In succinct, thoughtful essays, Ray presents, analyzes, and breaks down the scholarship and concepts that constitute this often misconstrued term. He explores how the conversation on critical race theory has expanded into the contemporary popular conscience, showing why critical race theory matters and why we should all care.

An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.

What do variables really tell us? When exactly do inventions occur? Why do we always miss turning points as they transpire? When does what doesn't happen mean as much, if not more, than what does? Andrew Abbott considers these fascinating questions in Time Matters, a diverse series of essays that constitutes the most extensive analysis of temporality in social science today. Ranging from abstract theoretical reflection to pointed methodological critique, Abbott demonstrates the inevitably theoretical character of any methodology. Time Matters focuses particularly on questions of time, events, and causality. Abbott grounds each essay in straightforward examinations of actual social scientific analyses. Throughout, he demonstrates the crucial assumptions we make about causes and events, about actors and interaction and about time and meaning every time we employ methods of social analysis, whether in academic disciplines, market research, public opinion polling, or even evaluation research. Turning current assumptions on their heads, Abbott not only outlines the theoretical orthodoxies of empirical social science, he sketches new alternatives, laying down foundations for a new body of social theory.