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.

    GRAPH THEORY WITH APPLICATIONS TO ENGINEERING AND COMPUTER SCIENCE-PHI-DEO, NARSINGH-1979-EDN-1

    For almost 500 years, the masses have been thoroughly deceived by a cosmic fairy-tale of astronomical proportions. We have been taught a falsehood so gigantic and diabolical that it has blinded us from our own experience and common sense, from seeing the world and the universe as they truly are. Through pseudo-science books and programs, mass media and public education, universities and government propaganda, the world has been systematically brain-washed, slowly indoctrinated over centuries into the unquestioning belief of the greatest lie of all time. A multi-generational conspiracy has succeeded, in the minds of the masses, to pick up the fixed Earth, shape it into a ball, spin it in circles, and throw it around the Sun! The greatest cover-up of all time, NASA and Freemasonry's biggest secret, is that we are living on a plane, not a planet, that Earth is the flat, stationary center of the universe.

    The philosopher brings up many Stoic principles on the nature of time, namely that men waste much of it in meaningless pursuits. According to the essay, nature gives man enough time to do what is really important and the individual must allot it properly. In general, time can be best used in the study of philosophy, according to Seneca. This essay has been carefully adapted into a contemporary form to allow for easy reading.

    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

    Heller Wilson has found the key. From acclaimed writer Charles Soule (27, Strongman, Swamp Thing) comes a mathematical thriller about Chaos, Probability, and the race to stop a citywide disaster. In 1978, Dr. Spencer Brownfield saved New York City from itself, bringing the city back from the verge of collapse and ruin. And for thirty years, his small, unnoticed adjustments to the city's systems have kept the city afloat. Or so he claims to Heller Wilson, a young graduate student that Dr. Brownfield has chosen as his successor. But are Dr. Brownfield's claims about The Butterfly Effect and how his "complexity math" apply to the city's patterns of life real, or are they the ravings of a man broken by the death of his wife and daughter, desperate to find some kind of control over the world around him? Part sci-fi, part philosophical exploration, part thriller, STRANGE ATTRACTORS examines what you can control in your life and what you can't, and how important it is to recognize the difference.

    Widely praised and much-discussed, this classic book explores how cooperation can emerge in a world of self-seeking egoists—whether superpowers, businesses, or individuals—when there is no central authority to police their actions. The problem of cooperation is central to many different fields. Robert Axelrod recounts the famous computer tournaments in which the “cooperative” program Tit for Tat recorded its stunning victories, explains its application to a broad spectrum of subjects, and suggests how readers can both apply cooperative principles to their own lives and teach cooperative principles to others.

    The calculus is not a hard subject and I prove this through an easy to read and obvious approach spanning only 100 pages. I have written this book with the following type of student in mind; the non-traditional student returning to college after a long break, a notoriously weak student in math who just needs to get past calculus to obtain a degree, and the garage tinkerer who wishes to understand a little more about the technical subjects. This book is meant to address the many fundamental thought-blocks that keep the average 'mathaphobe' (or just an interested person who doesn't have the time to enroll in a course) from excelling in mathematics in a clear and concise manner. It is my sincerest hope that this book helps you with your needs.Show more Show less

    Simon looks at his distinguished and varied career, continually asking himself whether (and how) what he learned as a scientist helps to explain other aspects of his life.A brilliant polymath in an age of increasing specialization, Simon is one of those rare scholars whose work defines fields of inquiry. Crossing disciplinary lines in half a dozen fields, Simon's story encompasses an explosion in the information sciences, the transformation of psychology by the information-processing paradigm, and the use of computer simulation for modeling the behavior of highly complex systems.Simon's theory of bounded rationality led to a Nobel Prize in economics, and his work on building machines that think--based on the notion that human intelligence is the rule-governed manipulation of symbols--laid conceptual foundations for the new cognitive science. Subsequently, contrasting metaphors of the maze (Simon's view) and of the mind (neural nets) have dominated the artificial intelligence debate.There is also a warm account of his successful marriage and of an unconsummated love affair, letters to his children, columns, a short story, and political and personal intrigue in academe.

    Myerson introduces, clarifies, and synthesizes the extraordinary advances made in the subject over the past fifteen years, presents an overview of decision theory, and comprehensively reviews the development of the fundamental models: games in extensive form and strategic form, and Bayesian games with incomplete information.Game Theory will be useful for students at the graduate level in economics, political science, operations research, and applied mathematics. Everyone who uses game theory in research will find this book essential.

    How can today's computers perform such a bewildering variety of tasks if computing is just glorified arithmetic? The answer, as Martin Davis lucidly illustrates, lies in the fact that computers are essentially engines of logic. Their hardware and software embody concepts developed over centuries by logicians such as Leibniz, Boole, and Godel, culminating in the amazing insights of Alan Turing. The Universal Computer traces the development of these concepts by exploring with captivating detail the lives and work of the geniuses who first formulated them. Readers will come away with a revelatory understanding of how and why computers work and how the algorithms within them came to be.

    It describes how the laws and discoveries of information theory now support controversial revisions to Darwinian evolution, begin to unravel the mysteries of language, memory and dreams, and stimulate provocative ideas in psychology, philosophy, art, music, computers and even the structure of society. Perhaps its most fascinating and unexpected surprise is the suggestion the order and complexity may be as natural as disorder and disorganization. Contrary to the entropy principle, which implies that order is the exception and confusion the rule, information theory asserts that order and sense can indeed prevail against disorder and nonsense. From the simplest forms of organic life to the words used to express our most complex ideas, from our genes to our dreams, from microcomputers to telecommunications, virtually everything around us follows simple rules of information. Life and the material world, like language, remain "grammatical." Grammatical man inhabits a grammatical universe.

    Following the hugely successful The Science Book and The Math Book comes a richly illustrated chronology of physics, containing 250 short, entertaining, and thought-provoking entries. In addition to exploring such engaging topics as dark energy, parallel universes, the Doppler effect, the God particle, and Maxwells demon, the books timeline extends back billions of years to the hypothetical Big Bang and forward trillions of years to a time of “quantum resurrection.” Like the previous titles in this series, The Physics Book helps readers gain an understanding of major concepts without getting bogged down in complex details.

    Even the simplest system of cause and effect can be subject to chaos, denying us accurate predictions of its behaviour, and sometimes giving rise to astonishing structures of large-scale order. Our growing understanding of Chaos Theory is having fascinating applications in the real world - from technology to global warming, politics, human behaviour, and even gambling on the stock market. Leonard Smith shows that we all have an intuitive understanding of chaotic systems. He uses accessible maths and physics (replacing complex equations with simple examples like pendulums, railway lines, and tossing coins) to explain the theory, and points to numerous examples in philosophy and literature (Edgar Allen Poe, Chang-Tzu, Arthur Conan Doyle) that illuminate the problems. The beauty of fractal patterns and their relation to chaos, as well as the history of chaos, and its uses in the real world and implications for the philosophy of science are all discussed in this Very Short Introduction.

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.