Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

    His book is a fresh look at the questions that occur to anyone who thinks deeply about these matters, questions about free will, self-determination, destiny, choice, and who are we anyway. I believe this is a “breakthrough book.” Robert’s style of writing about such ephemeral and difficult subjects as awareness and consciousness is honest, concise, and accurate. His ability to describe his experiences of living in a reality quite different from conventional ways of thinking is brilliantly unusual. On first encountering Robert Saltzman’s work, I am reminded of the same feelings of discovery, delight and excitement that I remember from meeting Alan Watts’ “The Wisdom of Insecurity”, Krishnamurti’s “Freedom from the Known,” and Chögyam Trungpa’s “Cutting Through Spiritual Materialism.” His clarity of mind shines brightly through every sentence in this book. His skill at making clear the most difficult ramifications and subtleties of awakened consciousness is so free of conventional cluttered thinking, so free of habitual phrases, so free of the taint of religious dogma and the conventional ways of speaking of such difficult matters, that this book stands out for me as an entirely fresh and illuminated exposition of awakened consciousness: an awakened understanding of what it is to be human. —Dr. Robert K. Hall

    In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

    We cannot choose to avoid philosophy, we can only choose whether we understand it or not. Stefan Molyneux, host of Freedomain Radio – the largest and most popular philosophy show in the world, with over 600 million views and downloads – takes you on a spectacular journey through the most foundational philosophical questions of the ages, clearing up and clarifying the most thorny problems posed by philosophers throughout history: -How do we know what is real? -How do we know what is true? -How do we know what is right? -How do we know what is good? -How do we know we even have a choice? -How do we convince others? These are all questions that we – as individuals and societies – wrestle with every day. These questions have challenged, motivated and plagued mankind for thousands of years. “Essential Philosophy” answers these questions with rigourous, illuminating and entertaining logic, reasoning from deep first principles to spectacular final conclusions. There is no need for confusion, there is no need for despair, there is no need for fear – pick up this book now, absorb the true power of philosophy, and live a rational moral life to the fullest. And then, give “Essential Philosophy” to others, so that the world may one day live in reason and peace.

    The book has been designed to offer maximal accessibility to the widest range of students (not only those majoring in philosophy) and assumes no formal training in elementary symbolic logic. It offers a comprehensive course covering all basic definitions of induction and probability, and considers such topics as decision theory, Bayesianism, frequency ideas, and the philosophical problem of induction. The key features of the book are: * A lively and vigorous prose style* Lucid and systematic organization and presentation of the ideas* Many practical applications* A rich supply of exercises drawing on examples from such fields as psychology, ecology, economics, bioethics, engineering, and political science* Numerous brief historical accounts of how fundamental ideas of probability and induction developed.* A full bibliography of further reading Although designed primarily for courses in philosophy, the book could certainly be read and enjoyed by those in the social sciences (particularly psychology, economics, political science and sociology) or medical sciences such as epidemiology seeking a reader-friendly account of the basic ideas of probability and induction. Ian Hacking is University Professor, University of Toronto. He is Fellow of the Royal Society of Canada, Fellow of the British Academy, and Fellow of the American Academy of Arts and Sciences. he is author of many books including five previous books with Cambridge (The Logic of Statistical Inference, Why Does Language Matter to Philosophy?, The Emergence of Probability, Representing and Intervening, and The Taming of Chance).

    It redirected philosophical attention to neglected questions of natural and metaphysical necessity and to the connections between these and theories of reference, in particular of naming, and of identity. From a critique of the dominant tendency to assimilate names to descriptions and more generally to treat their reference as a function of their Fregean sense, surprisingly deep and widespread consequences may be drawn. The largely discredited distinction between accidental and essential properties, both of individual things (including people) and of kinds of things, is revived. So is a consequent view of science as what seeks out the essences of natural kinds. Traditional objections to such views are dealt with by sharpening distinctions between epistemic and metaphysical necessity; in particular by the startling admission of necessary a posteriori truths. From these, in particular from identity statements using rigid designators whether of things or of kinds, further remarkable consequences are drawn for the natures of things, of people, and of kinds; strong objections follow, for example to identity versions of materialism as a theory of the mind.This seminal work, to which today's thriving essentialist metaphysics largely owes its impetus, is here published with a substantial new Preface by the author.

    The chapters may be read independently of one another. But when read in order, they tell a more or less continuous story. We begin with some reflections about the legacy of Socrates and then go on to the existence of God, which is perhaps the most basic philosophical question of all because our answer to it influences how we will answer all the others. This leads naturally to a discussion of death and the soul, and then to more modern ideas about the nature of persons. The later chapters are about whether it is possible for us to have objective knowledge in either science or ethics. James Rachels, from the Preface Problems from Philosophy and The Truth About the World: Basic Readings in Philosophy are at once James Rachels' newest contributions to philosophy and his last. In these two books, Rachels found a culminating expression for his love of philosophy.

    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.

    this is one of those rare books that will change your beliefs - and in doing so will change your life. tHE ANt AND tHE FERRARI offers readers a clear, navigable path through the big questions that confront us all today. What is the meaning of life? Can we be ethical beings in today's world? Can we know if there is life after death? Is there such a thing as Absolute truth? What caused the Big Bang and why should you care?

    Unlike many Hollywood stars who do their best to avoid the press, her openness about her complicated and often outlandish life has endeared her to fans worldwide. Her most famous screen roles are covered in this biography, from Gia to Lara Croft, which established her as one of the highest paid actresses in Hollywood. Also explored is her reputation for living on the edge, and Angelina's refreshing honesty around tempestuous romantic relationships, bisexuality, wild partying, and breakdowns and thoughts of suicide. Finally, her recent roles as philanthropist, mother, and half of a Hollywood golden couple with Brad Pitt, are also discussed in this inspiring must-read book for fans of this continually fascinating global superstar.

    New chapters cover criminal behavior theories and psychological profiling; autoerotic deaths, and occult crimes, plus two new chapters detailing infamous unsolved crimes/criminals: Jack the Ripper and the Jon Benet Ramsey case. The authors′ continuing research and activities in the field result in a multitude of new case studies for this book, often included as boxed inserts.

    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.

    The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology.

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

    The famous verse that gives the title to this book is about “love”—but not the ordinary love we know from novels and movies.Speak to us of Love gives a taste of a contemporary mystic at work, trying to disrupt our dreams, illusions, and the state of unconsciousness that prevents us from enjoying life to the fullest.This is about and for the millions of people in the world who have killed their love with their own hands, and who are now miserable. They never wanted to kill it, there was no intention to kill their love, but in their unconsciousness they started possessing. Husbands possess their wives, wives possess their husbands, and parents possess their children. Teachers are trying in every possible way to possess their students. Politicians are trying to possess countries. Religions are trying to possess millions of people and control every aspect their lives.This book shows that life can only thrive in freedom. Love never allows anyone to possess it, because love is our very soul.For Osho, the basis of all our neuroses or psychoses is simple: our souls are not nourished. Love, the basic nourishment, is missing. Osho comprehensively trounces the so-called religious and philosophical approaches to life. All that is of worth is to be found, not in the extraordinary, but in the ordinary; not in fantastical ideas of the “other world” beyond death, but in this very world that we find ourselves in here and now. In short, this book shows that making a simple yet utterly basic shift in our lives will awaken the silence in our beings and bring joy into our every moment.