Bronowski was both a distinguished mathematician and a poet, a philosopher of science and a literary critic who wrote a well-known study of William Blake. Dr. Bronowski's very career was founded on the premise of an intimate connection between science and the humanities, disciplines which are still generally thought to be worlds apart.The Common Sense of Science, a book which remains as topical today as it was when it first appeared twenty-five years ago, articulates and develops Bronowski's provocative idea that the sciences and the arts fundamentally share the same imaginative vision.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

    The New Physics tells us that they are not, and in the process, blurs the line between science and science fiction. Here are six accessible essays by those who walk that line, moving ever further out in discovering the patterns of nature, aimed at readers who share their fascination with the deepest mysteries of the universe.• Richard Price: "An Introduction to Spacetime Physics"• Stephen Hawking: "Chronology Protection"• Igor Novikov: "Can We Change the Past?"• Kip S. Thorne: "Speculations about the Future"• Timothy Ferris: "On the Popularization of Science"• Alan Lightman: "The Physicist as Novelist"

    In fact, AI will dramatically change our entire society.You might have heard that many jobs will be replaced by automation and robots, but did you also know that at the same time a huge number of new jobs will be created by AI?This book covers many fascinating and timely topics related to artificial intelligence, including: self-driving cars, robots, chatbots, and how AI will impact the job market, business processes, and entire industries, just to name a few.This book is divided into ten chapters:Chapter I: Introduction to Artificial IntelligenceChapter II: How Artificial Intelligence Is Changing Many IndustriesChapter III: How Artificial Intelligence Is Changing Business ProcessesChapter IV: Chatbots and How They Will Change CommunicationChapter V: How Artificial Intelligence Is Changing the Job MarketChapter VI: Self-Driving Cars and How They Will Change Traffic as We Know ItChapter VII: Robots and How They Will Change Our LivesChapter VIII: Artificial Intelligence Activities of Big Technology CompaniesChapter IX: Frequently Asked Questions About Artificial Intelligence Part IChapter X: Frequently Asked Questions About Artificial Intelligence Part IITo enhance your learning experience and help make the concepts easier to understand, there are more than 85 visual presentations included throughout the book.You will learn the answers to 101 questions about artificial intelligence, and also have access to a large number of resources, ideas and tips that will help you to understand how artificial intelligence will change our lives.Who is this book for?Managers and business professionalsMarketers and influencersEntrepreneurs and startupsConsultants and coachesEducators and teachersStudents and life-long learnersAnd everyone else who is interested in our future.Are you ready to discover how artificial intelligence will impact your life This guidebook offers a multitude of tools, techniques and strategies that every business and individual can quickly apply and benefit from.

    According to the author, these trends sought to create a unified conceptual apparatus as a common basis for the whole of human knowledge.Because these new developments in logical thought tended to perfect and sharpen the deductive method, an indispensable tool in many fields for deriving conclusions from accepted assumptions, the author decided to widen the scope of the work. In subsequent editions he revised the book to make it also a text on which to base an elementary college course in logic and the methodology of deductive sciences. It is this revised edition that is reprinted here.Part One deals with elements of logic and the deductive method, including the use of variables, sentential calculus, theory of identity, theory of classes, theory of relations and the deductive method. The Second Part covers applications of logic and methodology in constructing mathematical theories, including laws of order for numbers, laws of addition and subtraction, methodological considerations on the constructed theory, foundations of arithmetic of real numbers, and more. The author has provided numerous exercises to help students assimilate the material, which not only provides a stimulating and thought-provoking introduction to the fundamentals of logical thought, but is the perfect adjunct to courses in logic and the foundation of mathematics.

    

    This brief introduction shows how psycholinguistic research can act as a window to the workings of the human mind and the study of consciousness.

    The more we discover, the more puzzling the universe appears to be. How and why are the laws of nature what they are? A philosopher and a physicist, world-renowned for their radical ideas in their fields, argue for a revolution. To keep cosmology scientific, we must replace the old view in which the universe is governed by immutable laws by a new one in which laws evolve. Then we can hope to explain them. The revolution that Roberto Mangabeira Unger and Lee Smolin propose relies on three central ideas. There is only one universe at a time. Time is real: everything in the structure and regularities of nature changes sooner or later. Mathematics, which has trouble with time, is not the oracle of nature and the prophet of science; it is simply a tool with great power and immense limitations. The argument is readily accessible to non-scientists as well as to the physicists and cosmologists whom it challenges.

    This world of total human experience is the world that is (or at least ought to be) reflected and molded by the arts, above all by the art of literature. "What is the function of literature," Mr. Huxley asks, "what its psychology, what the nature of literary language? And how do its function, psychology and language differ from those of science? What in the past has been the relationship between literature and science? What is it now? What might it be in the future? And what would it be profitable, artistically speaking, for a twentieth-century man of letters to do about twentieth-century science?"Ours is the Age of Science; but from a study of the best contemporary literature one would find it difficult to infer this most obvious of facts. Contemporary poetry, drama and fiction contain remarkably few references to contemporary science—few references even to the metaphysical and ethical problems which contemporary science has raised. That this state of affairs should somehow be remedied is the theme of every recent discussion of "the Two Cultures." unfortunately most of these discussions have been carried on in abstract terms and with almost no citations of case histories, no references to the concrete problems of literary and scientific writing, no illustrative examples. Mr. Huxley has approached the subject in a different way. He deals with specific questions in the fields of immediate experience, of conceptualization, of philosophical interpretation and of verbal expression; and he illustrates these wide-ranging themes with copious quotations, drawn from a great variety of sources. He analyzes the nature of literary language and contrasts its many-meaninged richness with the simplified and jargonized language of science. He shows how the poets of earlier centuries made use of the scientific knowledge available to them. He gives examples of the ways in which modern science has modified and added to the traditional raw materials of literature. And he concludes with a speculative discussion of the ways in which future men of letters may work up the raw materials of brand new fact and revolutionary hypothesis provided by science, transfiguring them into a new kind of literature, capable of expression and at the same time coordinating and giving significance to the totality of an ever-widening human experience.

    In its structure and content, the Anthology is intended to complement the Companion to Bioethics, edited by the same scholars. The Anthology is independent of any particular approach to bioethics. Can be used as a source book to complement the Companion to Bioethics. Probes more deeply than the standard anthologies into the foundations of bioethics. More global in approach than competition.

    Undisputed heavyweight champion of the world. Prodigious, powerful boxer who won 50 of his 58 fights -- 44 by knockout. Lesser known is how Tyson became one of the fiercest fighters of all time. The absolutely improbable tale began when a troubled young kid met a cantankerous old trainer at a small boxing gym in the sleepy town of Catskill, New York. Cus D'Amato would change the whole trajectory of Tyson's life, teaching him everything he knew about success in and out of the ring, before dying just a year before his protege became the youngest heavyweight champion of the world at the age of 20. How did this hard-boiled trainer turn a kid who'd been abandoned by his parents, mercilessly bullied, and imprisoned for dozens of crimes, into a pedigree pugilist? How did he take an unfocused, insecure, lost young man and turn him into a champion who lived to train, fought with an unconquerable spirit, and positively lusted after victory? Cus did it by teaching Tyson the way of the warrior monk -- the art of focus and ferocity. In this short and punchy book, we uncover the five universally-applicable strategic principles of Cus' philosophy. Included are details on: The contents of Cus's library, and the books he gave Tyson to read Tyson's training routine The mental affirmations and tactics Cus shared with Tyson to strengthen his mind Cus's approach to making fear your friend instead of your foe No matter what kind of fight you're in, the savage wisdom of one of boxing's greatest minds will help you come out the victor.

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

    Whether with friends, family, or on social media, we expend lots of energy, lots of sharp words, and lots of strong feelings. But very few know how to have a good religious argument a rational, respectful, and productive exchange of differing views.Bishop Robert Barron, one of the leading Catholic figures in the world and among the most active on social media, has enjoyed thousands of fruitful religious arguments. In this book based on talks delivered at Facebook and Google, he explains why religion at its best opens up the searching mind, and how we all believer and unbeliever alike can share better discussions about God.