With exceptional clarity, Franz n gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of "Logical Dilemmas: The Life and Work of Kurt G del

    To the great annoyance of the Institute of Advanced Studies, she refuses to hand over Gödel’s precious records. Anna Roth, the timid daughter of two mathematicians who are part of the Princeton clique, is given the difficult task of befriending Adele and retrieving the documents from her. As Adele begins to notice Anna’s own estrangement from her milieu and starts to trust her, she opens the gates of her memory and together they travel back to Vienna during the Nazi era, Princeton right after the war, the pressures of McCarthyism, the end of the positivist ideal, and the advent of nuclear weapons. It is this epic story of a genius who could never quite find his place in the world, and the determination of the woman who loved him, that will eventually give Anna the courage to change her own life.

    In dated entries meant to be read one per day, the Spinellis open with a brief quote from children's literature, write a paragraph of lively advice inspired by that quote, and end with a Today I will . . . promise. The entries range from the broad (self-esteem, the environment, gratitude, and openmindedness) to the simple and specific (Today I will call a grandparent . . . smile at a new kid . . . take a walk . . . and send a snail-mail letter.). With wide appeal to fans of both children's literature and advice books, this cozy page-a-day volume (with black-and-white spot art) offers inspiring quotes, gentle guidance, and 366 Today I will . . . promises to thoughtful readers everywhere.

    Science, and the technologies it has spawned, has delivered so much to the world: clean water; more food; better healthcare; longer life. And we live in a time of rapid scientific progress that holds enormous promise for many of the problems we face as humankind. So much so, in fact, that many see no need or use for religion and belief systems that offer us answers to the mysteries of our universe. Science has explained it, they assume. Science and religion just do not mix.Oxford Maths Professor and Christian believer Prof. John Lennox offers a fresh way of thinking about science and Christianity that dispels the common misconceptions about both. He reveals that not only are they not opposed, but they can and must mix to give us a fuller understanding of the universe and the meaning of our existence.

    But is his extraordinary intellect merely a gift of fiction, or can we learn to cultivate these abilities ourselves, to improve our lives at work and at home?We can, says psychologist and journalist Maria Konnikova, and in Mastermind she shows us how. Beginning with the "brain attic"--Holmes's metaphor for how we store information and organize knowledge--Konnikova unpacks the mental strategies that lead to clearer thinking and deeper insights. Drawing on twenty-first-century neuroscience and psychology, Mastermind explores Holmes's unique methods of ever-present mindfulness, astute observation, and logical deduction. In doing so, it shows how each of us, with some self-awareness and a little practice, can employ these same methods to sharpen our perceptions, solve difficult problems, and enhance our creative powers. For Holmes aficionados and casual readers alike, Konnikova reveals how the world's most keen-eyed detective can serve as an unparalleled guide to upgrading the mind.

    But by knowing what they are and how to spot them, we can avoid them and make better choices-whether dealing with a personal problem or a business negotiation; trying to save money or make money; working out what we do or don't want in life: and how best to get it.Simple, clear and always surprising, this indispensable book will change the way you think and transform your decision-making-work, at home, every day. It reveals, in 99 short chapters, the most common errors of judgment, and how to avoid them.

    The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    He joined the post-World War II pacifist movement and became enamored with every aspect of the 1950s' ecumenical Student Christian Movement. Ten years before America's entry into the Vietnam war he admired Ho Chi Min as an agrarian patriot. For Oden, every turn was a left turn.At Yale he earned his PhD under H. Richard Niebuhr and later met with some of the most formidable minds of the era--enjoying conversations with Gadamer, Bultmann and Pannenberg as well as a lengthy discussion with Karl Barth at a makeshift office in his hospital room. While traveling with his family through Turkey, Syria and Israel, he attended Vatican II as an observer and got his first taste of ancient Christianity. And slowly, he stopped making left turns.Oden's enthusiasms for pacifism, ecumenism and the interface between theology and psychotherapy were ambushed by varied shapes of reality. Yet it was a challenge from a Jewish scholar, his friend and mentor Will Herberg, that precipitated his most dramatic turn--back to the great minds of ancient Christianity. Later a meeting with then Cardinal Joseph Ratzinger (later Benedict XVI) planted the seeds for what became Oden's highly influential Ancient Christian Commentary on Scripture. This fascinating memoir walks us through not only his personal history but some of the most memorable chapters in twentieth-century theology.

    Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    Their visionary answers flow from the frontiers of psychology, philosophy, economics, physics, sociology, and more. Surprising and enlightening, these insights will revolutionize the way you think about yourself and the world.Contributors include:Daniel Kahneman on the “focusing illusion”Jonah Lehrer on controlling attentionRichard Dawkins on experimentationAubrey De Grey on conquering our fear of the unknownMartin Seligman on the ingredients of well-beingNicholas Carr on managing “cognitive load”Steven Pinker on win-win negotiatingDaniel Goleman on understanding our connection to the natural worldMatt Ridley on tapping collective intelligenceLisa Randall on effective theorizingBrian Eno on “ecological vision”J. Craig Venter on the multiple possible origins of life  Helen Fisher on temperamentSam Harris on the flow of thoughtLawrence Krauss on living with uncertainty

    Each section also includes quizzes, games, and mental exercises.

    After showing the origins of fundamentalism, he examines representative anti-Catholic groups and presents their arguments in their own words. His rebuttals are clear, detailed, and charitable. Special emphasis is given to the scriptural basis for Catholic doctrines and beliefs.

    A timeless introduction to the field and a landmark in symbolic logic, showing that classical logic can be treated algebraically.

    In this treatise, he argues that the core intellectual errors of statism, socialism, protectionism, racism, irrationalism can be found in a revolt against economic logic and its special character. Epistemological Problems of Economics was original published in 1933, a period when the social sciences and economic policy were undergoing upheaval. The classical view of economics as a deductive science, along with the laissez-faire policies implied by that view, were being displaced by positivism and economic planning. Mises set out to put the classical view on a firmer foundation. In so doing, he examines a range of philosophical problems associated with economics. He goes further to delineate the scope of the general science of human action. This treatise, out of print for many years, is now brought back by the Mises Institute in a 3rd edition, with a comprehensive introduction by Jörg Guido Hülsmann, senior fellow of the Mises Institute. He observes that "the great majority of contemporary economists, sociologists, political scientists, and philosophers are either completely unaware of Mises's contributions to the epistemology of the social sciences or think they can safely neglect dealing with them. They are in error. One can ignore a thinker, but the fundamental problems of social analysis remain. There will be no progress in these disciplines before the mainstream has fully absorbed and digested Mises's ideas."

    Most of the poems are about animals—some are big and some are small, some have unusual interests, and some are just plain unusual.Some of the animals in this book are real. They include:the hippopotamus (she's missing)the elephant (he's artistically talented)the octopus (it's great at multitasking).Others may not be quite so real. These include:the wiguana (very hairy, for a lizard)the halibutterfly (there's something fishy about it)the gludu (quite clingy).