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.)

    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.

    It is ideal as a reader for all courses in epistemology.

    In his Introduction John Gray describes these essays as applications of Mill's doctrine of the Art of Life, as set out in A System of Logic. Using the resources of recent scholarship, he shows Mill's work to be far richer and subtler than traditional interpretations allow.

    It clarifies some of moral philosophy's most common confusions and redefines the science's terminology. 6 chapters explore: the subject matter of ethics, naturalistic ethics, hedonism, metaphysical ethics, ethics in relation to conduct, and the ideal.

    It is the fullest extant account of ancient skepticism, and it is also one of our most copious sources of information about the other Hellenistic philosophies. Its argumentative approach revolutionized the study of philosophy when Sextus' works were rediscovered in the sixteenth century. This volume presents the accurate and readable translation that was first published in 1994, together with a substantial new historical and philosophical introduction by Jonathan Barnes.

    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.

    Schneewind's illuminating introduction succinctly situates the Enquiry in its historical context, clarifying its relationship to Calvinism, to Newtonian science, and to earlier moral philosophers, and providing a persuasive account of Hume's ethical naturalism. --Martha C. Nussbaum, Brown University

    Ryle's linguistic analysis remaps the conceptual geography of mind, not so much solving traditional philosophical problems as dissolving them into the mere consequences of misguided language. His plain language and esstentially simple purpose place him in the traditioin of Locke, Berkeley, Mill, and Russell.

    Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

    This book, which presents Spinoza's main ideas in dictionary form, has as its subject the opposition between ethics and morality, and the link between ethical and ontological propositions. His ethics is an ethology, rather than a moral science. Attention has been drawn to Spinoza by deep ecologists such as Arne Naess, the Norwegian philosopher; and this reading of Spinoza by Deleuze lends itself to a radical ecological ethic. As Robert Hurley says in his introduction, "Deleuze opens us to the idea that the elements of the different individuals we compose may be nonhuman within us. One wonders, finally, whether Man might be defined as a territory, a set of boundaries, a limit on existence."Gilles Deleuze, known for his inquiries into desire, language, politics, and power, finds a kinship between Spinoza and Nietzsche. He writes, "Spinoza did not believe in hope or even in courage; he believed only in joy and in vision . . . he more than any other gave me the feeling of a gust of air from behind each time I read him, of a witch's broom that he makes one mount."Gilles Deleuze (1925-1995) was a French philosopher whose writings influenced many philosophical disciplines such as literary theory, post-structuralism, and postmodernism. He also taught philosophy at the University of Paris at Vicennes.Robert Hurley was a translator for many French philosophers including Michael Foucault (History of Sexuality), Gilles Deleuze, and George Bataille (Theory of Religion).

    The book begins with an excerpt from Maxwell Bennett and Peter Hacker's Philosophical Foundations of Neuroscience (Blackwell, 2003), which questions the conceptual commitments of cognitive neuroscientists. Their position is then criticized by Daniel Dennett and John Searle, two philosophers who have written extensively on the subject, and Bennett and Hacker in turn respond.Their impassioned debate encompasses a wide range of central themes: the nature of consciousness, the bearer and location of psychological attributes, the intelligibility of so-called brain maps and representations, the notion of qualia, the coherence of the notion of an intentional stance, and the relationships between mind, brain, and body. Clearly argued and thoroughly engaging, the authors present fundamentally different conceptions of philosophical method, cognitive-neuroscientific explanation, and human nature, and their exchange will appeal to anyone interested in the relation of mind to brain, of psychology to neuroscience, of causal to rational explanation, and of consciousness to self-consciousness.In his conclusion Daniel Robinson (member of the philosophy faculty at Oxford University and Distinguished Professor Emeritus at Georgetown University) explains why this confrontation is so crucial to the understanding of neuroscientific research. The project of cognitive neuroscience, he asserts, depends on the incorporation of human nature into the framework of science itself. In Robinson's estimation, Dennett and Searle fail to support this undertaking; Bennett and Hacker suggest that the project itself might be based on a conceptual mistake. Exciting and challenging, Neuroscience and Philosophy is an exceptional introduction to the philosophical problems raised by cognitive neuroscience.

    Written expressly for "anyone who believes there are big questions out there, but does not know how to approach them," Think provides a sound framework for exploring the most basic themes of philosophy, and for understanding how major philosophers have tackled the questions that have pressed themselves most forcefully on human consciousness.

    Each chapter, or unit, is divided into easily comprehended small "bites" that enable learners to master the material step-by-step, rather than being overwhelmed by masses of information covered too quickly. The book provides extremely detailed explanations of procedures and techniques, and was written in the conviction that anyone can thoroughly master its content. A four-part organization covers sentential logic, monadic predicate logic, relational predicate logic, and extra credit units that glimpse into alternative methods of logic and more advanced topics. For individuals interested in the formal study of logic.

    With exceptional clarity, Franz n gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of "Logical Dilemmas: The Life and Work of Kurt G del