Drawing on studies of social class, crime and deviance, work in bureaucracies, and changes in religious and political organizations, this Very Short Introduction explores the tension between the individual's role in society and society's role in shaping the individual, and demonstrates the value of sociology as a perspective for understanding the modern world.

    In this thought provoking Very Short Introduction, Jennifer Nagel considers the central problems and paradoxes in the theory of knowledge whilst drawing attention to the ways in which philosophers and theorists have responded to them. By exploring the relationship between knowledge and truth, and considering the problem of scepticism, Nagel introduces a series of influential historical and contemporary theories of knowledge, incorporating methods from logic, linguistics, and psychology, and using a number of everyday examples to demonstrate the key issues and debates.

    Written in short, carefully numbered paragraphs of extreme brilliance, it captured the imagination of a generation of philosophers. For Wittgenstein, logic was something we use to conquer a reality which is in itself both elusive and unobtainable. He famously summarized the book in the following words: 'What can be said at all can be said clearly; and what we cannot talk about we must pass over in silence.' David Pears and Brian McGuinness received the highest praise for their meticulous translation. The work is prefaced by Bertrand Russell's original introduction to the first English edition.

    Examining how and why the war was fought, as well as the historical controversies that still surround the war, Michael Howard also looks at how peace was ultimately made, and describes the potent legacy of resentment left to Germany.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    Allan Hobson provides a new and increasingly complete picture of how dreaming is created by the brain. Focusing on dreaming to explain the mechanisms of sleep, this book explores how the new science of dreaming is affecting theories in psychoanalysis, and how it is helping our understanding of the causes of mental illness.J. Allan Hobson investigates his own dreams to illustrate and explain some of the fascinating discoveries of modern sleep science, while challenging some of the traditionally accepted theories about the meaning of dreams. He reveals how dreaming maintains and develops the mind, why we go crazy in our dreams in order to avoid doing so when we are awake, and why sleep is not just good for health but essential for life.

    In addition, the author discusses the development of the Big Bang theory, and more speculative modern issues like quantum cosmology, superstrings, and dark matter.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    In this engaging Introduction, A.C. Grayling makes Wittgenstein's thought accessible to the general reader by explaining the natureand impact of Wittgenstein's views. He describes both his early and later philosophy, the differences and connections between them, and gives a fresh assessment of Wittgenstein's continuing influence on contemporary thought.

    Jan Westerhoff shows that the question "what is real?" is not some esoteric puzzle that only philosophers ponder. Scientists also ask this question when they investigate whether candidates for the fundamental constituents of matter are actually "out there" or just a mere abstraction from a successful theory and cognitive scientists ask it when trying to find out which set of the bewildering array of data processed by our brain could constitute the basis for the self.

    Jonathan Culler, an extremely lucid commentator and much admired in the field of literary theory, offers discerning insights into such theories as the nature of language and meaning, and whether literature is a form of self-expression or a method of appeal to an audience. Concise yet thorough, Literary Theory also outlines the ideas behind a number of different schools: deconstruction, semiotics, postcolonial theory, and structuralism, among others. From topics such as literature and social identity to poetry, poetics, and rhetoric, Literary Theory: A Very Short Introduction is a welcome guide for anyone interested in the importance of literature and the debates surrounding it.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    It explains what algorithms do, how they are used, the risks associated with using them, and why governments should be concerned. Important areas arehighlighted, such as Stream Ciphers, block ciphers, public key algorithms, digital signatures, and applications such as e-commerce. This book highlights the explosive impact of cryptography on modern society, with, for example, the evolution of the internet and the introduction of more sophisticatedbanking methods.

    In this book, Jonathan Barnes examines Aristotle's scientific researches, his discoveries in logic and his metaphysical theories, his work in psychology and in ethics and politics, and his ideas about art and poetry, placing his teachings in their historical context.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    Born in 1926 in France, over the course of his life he dabbled in drugs, politics, and the Paris SM scene, all whilst striving to understand the deep concepts of identity, knowledge, and power.From aesthetics to the penal system; from madness and civilisation to avant-garde literature, Foucault was happy to reject old models of thinking and replace them with versions that are still widely debated today. A major influence on Queer Theory and gender studies (he was openly gay and died of an AIDS-related illness in 1984), he also wrote on architecture, history, law, medicine, literature, politics and of course philosophy, and even managed a best-seller in France on a book dedicated to the history of systems of thought.Because of the complexity of his arguments, people trying to come to terms with his work have desperately sought introductory material that makes his theories clear and accessible for the beginner. Ideally suited for the Very Short Introductions series, Gary Gutting presents a comprehensive but non-systematic treatment of some highlights of Foucault's life and thought. Beginning with a brief biography to set the social and political stage, he then tackles Foucault's thoughts on literature, in particular the avant-garde scene; his philosophical and historical work; his treatment of knowledge and power in modern society; and his thoughts on sexuality.

    But with demonstrations like those against the World Bank and the International Monetary Fund being blamed on anarchists, it is clear that an explanation of what they do stand for is long overdue. Colin Ward provides answers to these questions by considering anarchism from a variety of perspectives: theoretical, historical, and international, and by exploring key anarchist thinkers, from Kropotkin to Chomsky. He looks critically at anarchism by evaluating key ideas within it, such as its blanket opposition to incarceration, and policy of "no compromise" with the apparatus of political decision-making. Can anarchy ever function effectively as a political force? Is it more "organized" and "reasonable" than is currently perceived? Whatever the politics of the reader, Ward's argument ensures that anarchism will be much better understood after experiencing this book.

    Even the simplest system of cause and effect can be subject to chaos, denying us accurate predictions of its behaviour, and sometimes giving rise to astonishing structures of large-scale order. Our growing understanding of Chaos Theory is having fascinating applications in the real world - from technology to global warming, politics, human behaviour, and even gambling on the stock market. Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible maths and physics (replacing complex equations with simple examples like pendulums, railway lines, and tossing coins) to explain the theory, and points to numerous examples in philosophy and literature (Edgar Allen Poe, Chang-Tzu, Arthur Conan Doyle) that illuminate the problems. The beauty of fractal patterns and their relation to chaos, as well as the history of chaos, and its uses in the real world and implications for the philosophy of science are all discussed in this Very Short Introduction.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.