The book can be read straight through from beginning to end; yet the inclusion of a multi-layered index, coupled with a descriptive outline of contents and bibliographies of relevant literature, means that the volume also serves as a work of reference, both for those coming afresh to the study of ethics and for readers already familiar with the subject.

    The speech is significant both because its topic remains timely and because its arguments illustrate the applicability of the principle of utility to questions of large-scale social policy.

    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

    Rejecting the view that anyone has a natural right to wield authority over others, Rousseau argues instead for a pact, or ‘social contract’, that should exist between all the citizens of a state and that should be the source of sovereign power. From this fundamental premise, he goes on to consider issues of liberty and law, freedom and justice, arriving at a view of society that has seemed to some a blueprint for totalitarianism, to others a declaration of democratic principles.

    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.

    This brief edition of the most widely adopted book of its kind offers all of the editorial features of the longer book with about half the stories and writer commentaries in a shorter, less expensive format.

    Caught between consumerism and casual sexual encounters devoid of passion, love today - without the key ingredient of chance - is in mortal danger. Alain Badiou proposes a vision of love as an adventure of the individual.Liberal and libertine reductions of love to instant pleasure and non-commitment bite the dust as Badiou invokes a supporting cast of thinkers from Plato to Lacan via Karl Marx to create a new narrative of romance, relationships and sex - one that does not fear love.

    The Structure of Scientific Revolutions is that kind of book. When it was first published in 1962, it was a landmark event in the history and philosophy of science. Fifty years later, it still has many lessons to teach. With The Structure of Scientific Revolutions, Kuhn challenged long-standing linear notions of scientific progress, arguing that transformative ideas don’t arise from the day-to-day, gradual process of experimentation and data accumulation but that the revolutions in science, those breakthrough moments that disrupt accepted thinking and offer unanticipated ideas, occur outside of “normal science,” as he called it. Though Kuhn was writing when physics ruled the sciences, his ideas on how scientific revolutions bring order to the anomalies that amass over time in research experiments are still instructive in our biotech age. This new edition of Kuhn’s essential work in the history of science includes an insightful introduction by Ian Hacking, which clarifies terms popularized by Kuhn, including paradigm and incommensurability, and applies Kuhn’s ideas to the science of today. Usefully keyed to the separate sections of the book, Hacking’s introduction provides important background information as well as a contemporary context.  Newly designed, with an expanded index, this edition will be eagerly welcomed by the next generation of readers seeking to understand the history of our perspectives on science.

    The author has now revised the original edition to clear up a number of difficulties he and others have found in the original book.Rawls aims to express an essential part of the common core of the democratic tradition - justice as fairness - and to provide an alternative to utilitarianism, which had dominated the Anglo-Saxon tradition of political thought since the nineteenth century. Rawls substitutes the ideal of the social contract as a more satisfactory account of the basic rights and liberties of citizens as free and equal persons. "Each person," writes Rawls, "possesses an inviolability founded on justice that even the welfare of society as a whole cannot override." Advancing the ideas of Rousseau, Kant, Emerson, and Lincoln, Rawls's theory is as powerful today as it was when first published.

    Bachelard takes us on a journey, from cellar to attic, to show how our perceptions of houses and other shelters shape our thoughts, memories, and dreams."A magical book. . . . The Poetics of Space is a prism through which all worlds from literary creation to housework to aesthetics to carpentry take on enhanced-and enchanted-significances. Every reader of it will never see ordinary spaces in ordinary ways. Instead the reader will see with the soul of the eye, the glint of Gaston Bachelard." -from the new foreword by John R. Stilgoe

    This new edition features several additions, including selections from the 'Enneads' of Plotinus, Schopenhauer's 'The World as Will and Representation', Husserl's Paris lectures, Wittgenstein's 'Philosophical Investigations', & a new selection from Hegel's 'Phenomenology of Spirit'.

    Bronowski's exciting, illustrated investigation offers a perspective not just on science, but on civilization itself. Lower than the angelsForewordThe harvest of the seasons The grain in the stoneThe hidden structure The music of the spheresThe starry messanger The majestic clockworkThe drive for power The ladder of creation World within world Knowledge or certainty Generation upon generationThe long childhoodBibliographyIndex

    This volume provides a comprehensible guide to his work by a wide range of experts who are actively engaged in new work on Wittgenstein. The essays, which are both expository and original, address central themes in his philosophy of mind, language, logic, and mathematics and clarify the connections among the different stages in the development of his work.

    The book was based on a course of public lectures delivered by Schrödinger in February 1943 at Trinity College, Dublin. Schrödinger's lecture focused on one important question: "how can the events in space and time which take place within the spatial boundary of a living organism be accounted for by physics and chemistry?" In the book, Schrödinger introduced the idea of an "aperiodic crystal" that contained genetic information in its configuration of covalent chemical bonds. In the 1950s, this idea stimulated enthusiasm for discovering the genetic molecule and would give both Francis Crick and James Watson initial inspiration in their research.

    The philosophy of La Rochefoucauld, which influenced French intellectuals as diverse as Voltaire and the Jansenists, is captured here in more than 600 penetrating and pithy aphorisms.