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The two notions of proofs and calculations are intimately related. Proofs can involve calculations, and the algorithm underlying a calculation should be proved correct. This volume explores this key relationship and introduces simple type theory. Starting from the familiar propositional calculus, the author develops the central idea of an applied lambda-calculus. This is illustrated by an account of Gödel's T, a system that codifies number-theoretic function hierarchies. Each of the book's 52 sections ends with a set of exercises, some 200 in total. An appendix contains complete solutions of these exercises.

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The two notions of proofs and calculations are intimately related. Proofs can involve calculations, and the algorithm underlying a calculation should be proved correct. This volume explores this key relationship and introduces simple type theory. Starting from the familiar propositional calculus, the author develops the central idea of an applied lambda-calculus. This is illustrated by an account of Gödel's T, a system that codifies number-theoretic function hierarchies. Each of the book's 52 sections ends with a set of exercises, some 200 in total. An appendix contains complete solutions of these exercises.

The history of western metaphysics from Plato onwards is dominated by the dualism of being and appearance. What something really is (its true being) is believed to be hidden behind the 'mere appearances' through which it manifests. Twentieth-century European thinkers radically overturned this way of thinking. 'Appearance' began to be taken seriously, with the observer participating in the dynamic event of perception. In this important book, Henri Bortoft guides us through this dynamic way of seeing, exploring issues including how we distinguish things, how we find meaning, and the relationship between thought and words. Expanding the scope of his previous book, The Wholeness of Nature, Bortoft shows how Goethean insights combine with this dynamic way of seeing in continental philosophy, to offer an actively experienced 'life of meaning'. This book will be of interest to anyone who wants to understand the contribution and wider implications of modern European thought in the world today.

In the mid 1980s, there was a crisis in the availability, affordability, and adequacy of liability insurance in the United States and Canada. Mass tort claims such as the asbestos, DES, and Agent Orange litigation generated widespread public attention, and the tort system came to assume a heightened prominence in American life. While some scholars debate whether or not any such crisis still exists, there has been an increasing political, judicial and academic questioning of the goals and future of the tort system.Exploring the Domain of Tort Law reviews the evidence on the efficacy of the tort system and its alternatives. By looking at empirical evidence in five major categories of accidents--automobile, medical malpractice, product-related accidents, environmental injuries, and workplace injuries--the authors evaluate the degree to which the tort system conforms to three normative goals: deterrence, corrective justice, and distributive justice. In each case, the authors review the deterrence and compensatory properties of the tort system, and then review parallel bodies of evidence on regulatory, penal, and compensatory alternatives.Most of the academic literature on the tort system has traditionally been doctrinal or, in recent years, highly theoretical. Very little of this literature provides an in-depth consideration of how the system works, and whether or not there are any feasible alternatives. Exploring the Domain of Tort Law contributes valuable new evidence to the tort law reform debate. It will be of interest to academic lawyers and economists, policy analysts, policy professionals in government and research organizations, and all those affected by tort law reform.

This introductory volume presents an overview of the philosophy of film, a burgeoning sub-discipline of Aesthetics. It offers a sampling of paradigmatic instances of philosophers and philosophical film theorists discussing the movies in a fashion that takes cinema as seriously as any other Fine Art, leaving little doubt that doing philosophy of film is a serious intellectual enterprise.

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This introductory volume presents an overview of the philosophy of film, a burgeoning sub-discipline of Aesthetics. It offers a sampling of paradigmatic instances of philosophers and philosophical film theorists discussing the movies in a fashion that takes cinema as seriously as any other Fine Art, leaving little doubt that doing philosophy of film is a serious intellectual enterprise.

Every priest and minister knows there is more, much more, to baptism than a brief ceremony. The Book of Common Prayer makes it very clear that parents and godparents have a duty "to help the new Christians grow in the knowledge and love of God, and in their responsibilities as members of his Church." But, in this post-modern, post-Christian world, how does a parish priest overcome the obstacles our culture puts in the way of carrying out this task? Fortunately, the Rev. Claudia A. Dickson has made a study of the gifts and responsibilities that are both implicit and explicit in the rite of baptism. And she has distilled her study into this helpful and succinct volume. You will find a basic history of baptism, followed by suggested plans for study sessions for parents, godparents, candidates, or individuals preparing to renew their baptismal vows. Questions for discussion and simple group exercises are designed to ensure lively conversation and, at the same time, to ensure that participants have a solid sense of the implications of the baptismal rite. Throughout the discussion, there are useful cross-references to the Service of Holy Baptism, which is reprinted in this volume.

First published a decade ago, Michael Ruse's Taking Darwin Seriously established itself as one of the most important works on evolutionary naturalism since Darwin's own Origin of Species in 1859. Updated with a new preface and final chapter, this timely volume challenges the threadworn arguments as well as the new claims of creationism seeping into mainstream education, science, and philosophy, and reestablishes solid arguments supporting the science of Charles Darwin.Applying evolutionary biology to traditional philosophical problems, this volume establishes a naturalistic approach to our understanding of life's major problems. Ruse argues thoughtfully that to understand the problems of knowledge (epistemology) and of moral thought and behavior (ethics), we must know that we are the end-products of the natural process of evolution rather than the special creation of a supernatural god. At the same time, he warns evolutionists who would fashion an atheistic secular religion from their science.Written in an easy style to interest the professional and the general reader, this book is a pillar of philosophy intended as a direct challenge to all those who would push creationism as a credible alternative to scientific evolution in public schools, universities, and as a general theory of public consumption.

The juvenile justice system navigates a high degree of variation in youthful offenders. While professionals with insights about reform and adolescent development consider the risks, the needs, and the patterns of delinquency of youth, too little attention is paid to the responses and practicalities of a system that is both complex and limited in its resources. In his essential book, Taking Juvenile Justice Seriously, Christopher Sullivan systematically analyzes key facets of justice-involved youth populations and parses cases to better understand core developmental influences that affect delinquency. He takes a comprehensive look at aspects of the life-course affected by juvenile justice as well as at the juvenile justice system’s operations and its multifaceted mission of delivering both treatment and sanctions to a varied population of youths.Taking Juvenile Justice Seriously first provides an overview of the youth who encounter the system, then describes its present operations and obstacles, synthesizes relevant developmental insights, and reviews current practices. Drawing on research, theory, and evidence regarding innovative policies, Sullivan offers a series of well-grounded recommendations that suggest how to potentially—and realistically—implement a more effective juvenile justice system that would benefit all.

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Many acts of charitable giving fail in their stated goals and some are actually harmful. In Taking Philanthropy Seriously, the authors explain why this state of affairs exists. They outline solutions, ranging from those that equip philanthropists to do good work to those that build a domain of philanthropic knowledge, ethical codes, and best practices. Attention is also given to considering recipients’ needs, frustrations, and hopes for support. Philanthropic leaders disclose instances of both good and compromised work, show how ethical concerns are secondary to "success" in philanthropy, and reveal strategies to promote effective and ethical conduct.Contributors are Lynn Barendsen, Mihaly Csikszentmihalyi, William Damon, Akash Deep, Peter Frumkin, Howard Gardner, Laura Horn, Carrie James, Leslie Lenkowsky, Paula Marshall, Jennifer Menon, Sarah Miles, Liza Hayes Percer, Rob Reich, Tanya Rose, Paul G. Schervish, James Allen Smith, Nick Standlea, Thomas J. Tierney, and Susan Verducci.

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Most contemporary discussions of sex differences assume that they are determined by society rather than biology. It is society that teaches little girls to be feminine and little boys to be masculine--society that tells women to respond to babies and men to respond to sports. Reflecting the fashionable idea that male and female roles have been "socially constructed," most commentators speak of gender instead of sex. Because men and women are virtually interchangeable, so the argument goes, men should do an equal share of domestic and childrearing work so that women can compete equally outside the home There's only one problem with this beguiling vision of androgyny. Whatever we might like to believe, as Dr. Steven Rhoads shows, sex distinctions remain a deeply rooted part of human nature. In "Taking Sex Differences Seriously," Rhoads assembles a wealth of scientific evidence showing that these differences are "hardwired" into our biology. They range from the subtle (men get a chemical high from winning while women get one from nursing) to the profound (women with high testosterone levels are more promiscuous, more competitive, and more conflicted about having children than those with average levels.) Rhoads explores disparities in aggression and dominance, in sexuality and nurturing. He shows how denial of these differences has helped to create the sexual revolution, fatherless families, and policies such as Title IX, and the call for universal day care. But while insisting that we must take sex differences seriously, Rhoads also advocates discouraging some natural tendencies, like men's desire for irresponsible sex, and encouraging others, like women's greater interest and talent in caring for babies. In this provocative exploration of the masculine and feminine, Steven Rhoads dispels contemporary clichés and spotlights biological realities. Meticulously researched and elegantly written, "Taking Sex Differences Seriously" is a groundbreaking look at the way we are.

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Small towns are big mission fields that are almost totally neglected by modern church planters. City ministry has become, for many, the definition of godly ministry. But what about the millions of people around the world who live in small towns? This is not just a book, it is a call to take the gospel everywhere, big or small, because that’s what Jesus told us to do.