This essential companion to Chaitins highly successful The Limits of Mathematics, gives a brilliant historical survey of important work on the foundations of mathematics. The Unknowable is a very readable introduction to Chaitins ideas, and includes software (on the authors website) that will enable users to interact with the authors proofs. "Chaitins new book, The Unknowable, is a welcome addition to his oeuvre. In it he manages to bring his amazingly seminal insights to the attention of a much larger audience His work has deserved such treatment for a long time." JOHN ALLEN PAULOS, AUTHOR OF ONCE UPON A NUMBER

It's What You Don't Know That Counts Discover the important roles chance and uncertainty play insuccessful strategic planning. In this ingenious work, author RalphD. Stacey shows managers how their companies can benefit from theunexpected developments that impact their business and how they canprepare to creatively leverage the opportunities such developmentspresent. He explains how an appreciation of conflict and teamdialogue can help managers discover and build on the innate energyof their organizations. And he illustrates his theories withreal-world examples from Sony, Kodak, Federal Express and othernoted market innovators.

W. J. Mander presents a history of metaphysics in nineteenth-century Britain. The story focuses on the elaboration of, and differing reactions to, the concept of the unknowable or unconditioned, first developed by Sir William Hamilton in the 1829. The idea of an ultimate but unknowable way that things really are in themselves may be seen as supplying a narrative arc that runs right through the metaphysical systems of the period in question. These thought schemes may be divided into three broad groups which were roughly consecutive in their emergence but also overlapping as they continued to develop. In the first instance there were the doctrines of the agnostics who developed further Hamilton's basic idea that fundamental reality lies for the great part beyond our cognitive reach. These philosophies were followed immediately by those of the empiricists and, in the last third of the century, the idealists: both of these schools of thought—albeit in profoundly different ways—reacted against the epistemic pessimism of the agnostics. Mander offers close textual readings of the main contributions to First Philosophy made by the key philosophers of the period (such as Hamilton, Mansel, Spencer, Mill, and Bradley) as well as some less well known figures (such as Bain, Clifford, Shadworth Hodgson, Ferrier, and John Grote). By presenting, interpreting, criticising, and connecting together their various contrasting ideas, this book explains how the three traditions developed and interacted with one another to comprise the history of metaphysics in Victorian Britain.

Albert Einstein once remarked that behind all observable things lay something quite unknowable. This book explores that special territory perceived by Einstein: where the unknown takes over from everything that is understandable, familiar, explicable

A distillation of over seventy years as a monastic and more than three decades of writing on centering prayer, Reflections on the Unknowable is Fr. Thomas Keating’s latest volume on how we might develop our intimacy with God and our experience of the Christian contemplative tradition. The first part of the book consists of a long interview with Fr. Thomas, in which he examines concepts of the divine‐including the astonishments, playfulness, and transformation available to the individual willing to open the door to God. The second section consists of thirty-one brief homilies, which range over topics as diverse as the Trinity and the message of Epiphany, spiritual evolution and cultivating interior silence, and the treasure of spiritual poverty and the beauty of chaos.

Meet the God Who Is Greater Than Your Biggest Questions. The Bible never shies away from seeming contradictions. We are told both to resist our enemies and to love them, and that our all-knowing God can sometimes forget. Unable to reconcile such biblical paradoxes, some people abandon Christianity, while others pretend that the seeming contradictions don’t exist–preferring to believe in an uncomplicated, easy-to-comprehend God. Yet countless others are hungry for new insight into the God behind the Bible’s mysterious paradoxes. Responding to this spiritual hunger, James Lucas delves into the mysteries of Scripture, demonstrating that biblical “contradictions” are actually exquisite paradoxes that enlarge our understanding of God. With this book as your guide, you can embrace the paradoxes of Scripture and pursue honest answers to your hardest questions. The study of biblical paradox leads to greater devotion to the majestic God who makes himself known even while he surpasses human understanding. Today, you can begin Knowing the Unknowable God.

A clear understanding of what we know, don't know, and can't know should guide any reasonable approach to managing financial risk, yet the most widely used measure in finance today--Value at Risk, or VaR--reduces these risks to a single number, creating a false sense of security among risk managers, executives, and regulators. This book introduces a more realistic and holistic framework called KuU --the K nown, the u nknown, and the U nknowable--that enables one to conceptualize the different kinds of financial risks and design effective strategies for managing them. Bringing together contributions by leaders in finance and economics, this book pushes toward robustifying policies, portfolios, contracts, and organizations to a wide variety of KuU risks. Along the way, the strengths and limitations of "quantitative" risk management are revealed. In addition to the editors, the contributors are Ashok Bardhan, Dan Borge, Charles N. Bralver, Riccardo Colacito, Robert H. Edelstein, Robert F. Engle, Charles A. E. Goodhart, Clive W. J. Granger, Paul R. Kleindorfer, Donald L. Kohn, Howard Kunreuther, Andrew Kuritzkes, Robert H. Litzenberger, Benoit B. Mandelbrot, David M. Modest, Alex Muermann, Mark V. Pauly, Til Schuermann, Kenneth E. Scott, Nassim Nicholas Taleb, and Richard J. Zeckhauser. Introduces a new risk-management paradigm Features contributions by leaders in finance and economics Demonstrates how "killer risks" are often more economic than statistical, and crucially linked to incentives Shows how to invest and design policies amid financial uncertainty