Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

    Dreams aren't really anything like reality. Dreams are, well, they're more dreamy. You can just tell. Things happen in dreams that don't happen in reality. Usually, anyway. An intriguing tale that will instill readers with an abiding sense of philosophical wonder. If you're smitten with Sophie's World, you're sure to be entranced by The Dream Weaver. - Christopher Phillips, author, Socrates Cafe. Jack Bowen's novel is like traveling with Alice to a Wonderland inhabited by the greatest philosophers and scientists who ever lived... A triumph! - Wenda O'Reilly, Ph.D., President, Birdcage Press and author, The Impressionist Art Game. The Dream Weaver is an outstanding how-to-think book... This book is a philosophical odyssey that tackles the mysteries of life, of science, and of the meaning of reality. - Susanne Pari, author, The Fortune Catcher.

    . . . One rejoices in Bronowski’s dedication to the identity of acts of creativity and of imagination, whether in Blake or Yeats or Einstein or Heisenberg.”—Kirkus Reviews “A delightful look at the inquiring mind.”—Library JournalIn this eloquent volume Jacob Bronowski, mathematician and scientist, presents a succinct introduction to the state of modern thinking about the role of science in man's intellectual and moral life. Weaving together themes from ethnology, linguistics, philosophy, and physics, he confronts the questions of who we are, what we are, and how we relate to the universe around us.

    Inspired by and expanding on a series of lectures presented by Leonard Peikoff, David Harriman presents a fascinating answer to the problem of induction-the epistemological question of how we can know the truth of inductive generalizations.Ayn Rand presented her revolutionary theory of concepts in her book Introduction to Objectivist Epistemology. As Dr. Peikoff subsequently explored the concept of induction, he sought out David Harriman, a physicist who had taught philosophy, for his expert knowledge of the scientific discovery process.Here, Harriman presents the result of a collaboration between scientist and philosopher. Beginning with a detailed discussion of the role of mathematics and experimentation in validating generalizations in physics-looking closely at the reasoning of scientists such as Galileo, Kepler, Newton, Lavoisier, and Maxwell-Harriman skillfully argues that the inductive method used in philosophy is in principle indistinguishable from the method used in physics.

    And it is ignorance--not knowledge--that is the true engine of science.Most of us have a false impression of science as a surefire, deliberate, step-by-step method for finding things out and getting things done. In fact, says Firestein, more often than not, science is like looking for a black cat in a dark room, and there may not be a cat in the room. The processis more hit-or-miss than you might imagine, with much stumbling and groping after phantoms. But it is exactly this not knowing, this puzzling over thorny questions or inexplicable data, that gets researchers into the lab early and keeps them there late, the thing that propels them, the verydriving force of science. Firestein shows how scientists use ignorance to program their work, to identify what should be done, what the next steps are, and where they should concentrate their energies. And he includes a catalog of how scientists use ignorance, consciously or unconsciously--aremarkable range of approaches that includes looking for connections to other research, revisiting apparently settled questions, using small questions to get at big ones, and tackling a problem simply out of curiosity. The book concludes with four case histories--in cognitive psychology, theoreticalphysics, astronomy, and neuroscience--that provide a feel for the nuts and bolts of ignorance, the day-to-day battle that goes on in scientific laboratories and in scientific minds with questions that range from the quotidian to the profound.Turning the conventional idea about science on its head, Ignorance opens a new window on the true nature of research. It is a must-read for anyone curious about science.

    It remains the one of the most widely read books about science to come out of the twentieth century.(Note: the book was first published in 1934, in German, with the title Logik der Forschung. It was "reformulated" into English in 1959. See Wikipedia for details.)

    Cavalli-Sforza and others have answered this question—anticipated by Darwin—with a decisive yes. Genes, Peoples, and Languages comprises five lectures that serve as a summation of the author's work over several decades, the goal of which has been nothing less than tracking the past hundred thousand years of human evolution.Cavalli-Sforza raises questions that have serious political, social, and scientific import: When and where did we evolve? How have human societies spread across the continents? How have cultural innovations affected the growth and spread of populations? What is the connection between genes and languages? Always provocative and often astonishing, Cavalli-Sforza explains why there is no genetic basis for racial classification.

    And just as important as it is to choose the right major, choose the right career, and choose the right spouse, no consideration is given as to choosing THE RIGHT PLACE to live in this vast and great country. And where you live arguably determines much more in your life. Who you meet. Your job opportunities. Your career success. Who you fall in love with. Even your health and happiness. But every year millions of Americans let their current familiar environment determine where they live, thus condemning them to mediocre opportunities, mediocre hobbies, mediocre people, and a mediocre life. DO NOT LET THIS HAPPEN TO YOU! Become a "Reconnaissance Man" instead!"Reconnaissance Man" is the young (and old) person's guide to the United States. It explains how to explore this great and vast country to find out where you should go to school, where you will make the most money, where you will be happiest, and ultimately where you belong. Don't live in frozen wastelands like Minnesota. Don't live in socialist hell holes like California or New York. Find your American utopia NOW and not when you're 65, about to retire and about to die. Life's too short to be living in Ohio, so become the classical American "Reconnaissance Man" today! Buy and read "Reconnaissance Man!"

    Ever since physics first penetrated the atom, early in this century, what it found there has stood as a radical and unanswered challenge to many of our most cherished conceptions of nature. It has literally been called into question since then whether or not there are always objective matters of fact about the whereabouts of subatomic particles, or about the locations of tables and chairs, or even about the very contents of our thoughts. A new kind of uncertainty has become a principle of science.This book is an original and provocative investigation of that challenge, as well as a novel attempt at writing about science in a style that is simultaneously elementary and deep. It is a lucid and self-contained introduction to the foundations of quantum mechanics, accessible to anyone with a high school mathematics education, and at the same time a rigorous discussion of the most important recent advances in our understanding of that subject, some of which are due to the author himself.

    Random genetic mutation, long believed to be the main source of variation, is only a marginal factor. As the authors demonstrate in this book, the more important source of speciation, by far, is the acquisition of new genomes by symbiotic merger. The result of thirty years of delving into a vast, mostly arcane literature, this is the first book to go beyond -- and reveal the severe limitations of -- the "Modern Synthesis" that has dominated evolutionary biology for almost three generations. Lynn Margulis, whom E. O. Wilson called "one of the most successful synthetic thinkers in modern biology," and her co-author Dorion Sagan have written a comprehensive and scientifically supported presentation of a theory that directly challenges the assumptions we hold about the variety of the living world.

    Katherine Hayles, where new languages are constantly emerging, proliferating, and fading into obsolescence. These are languages of our own making: the programming languages written in code for the intelligent machines we call computers. Hayles's latest exploration provides an exciting new way of understanding the relations between code and language and considers how their interactions have affected creative, technological, and artistic practices. My Mother Was a Computer explores how the impact of code on everyday life has become comparable to that of speech and writing: language and code have grown more entangled, the lines that once separated humans from machines, analog from digital, and old technologies from new ones have become blurred. My Mother Was a Computer gives us the tools necessary to make sense of these complex relationships. Hayles argues that we live in an age of intermediation that challenges our ideas about language, subjectivity, literary objects, and textuality. This process of intermediation takes place where digital media interact with cultural practices associated with older media, and here Hayles sharply portrays such interactions: how code differs from speech; how electronic text differs from print; the effects of digital media on the idea of the self; the effects of digitality on printed books; our conceptions of computers as living beings; the possibility that human consciousness itself might be computational; and the subjective cosmology wherein humans see the universe through the lens of their own digital age. We are the children of computers in more than one sense, and no critic has done more than N. Katherine Hayles to explain how these technologies define us and our culture. Heady and provocative, My Mother Was a Computer will be judged as her best work yet.

    The theme of Heisenberg's exposition is that words and concepts familiar in daily life can lose their meaning in the world of relativity and quantum physics. This in turn has profound philosophical implications for the nature of reality and for our total world view.

    Can a computer think? Why is your consciousness like Bitcoin? Will there be an artificial intelligence apocalypse?

    The first is the astonishing achievement of the Human Genome Project, which, it was anticipated, would identify the genetic basis of those characteristics that distinguish humans from their primate cousins. The second is the phenomenal advance in brain imaging that now permits neuroscientists to observe the brain 'in action' and thus account for the remarkable properties of the human mind.But that is not how it has turned out. It is simply not possible to get from the monotonous sequence of genes along the Double Helix to the near infinite diversity of the living world, nor to translate the electrical firing of the brain into the creativity of the human mind. This is not a matter of not knowing all the facts. Rather, science has inadvertently discovered that its theories are insufficient to conjure the wonder of the human experience from the bare bones of our genes and brains.We stand on the brink of a tectonic shift in our understanding of ourselves that will witness the rediscovery of the central premise of Western philosophy that there is 'more than we can know'. Lucid, compelling and utterly engaging, ‘Why Us?’ offers a convincing and provocative vision of the new science of being human.