The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

    In his introductory essay, John Cooper explains the presentation of these works, discusses questions concerning the chronology of their composition, comments on the dialogue form in which Plato wrote, and offers guidance on approaching the reading and study of Plato's works.Also included are concise introductions by Cooper and Hutchinson to each translation, meticulous annotation designed to serve both scholar and general reader, and a comprehensive index. This handsome volume offers fine paper and a high-quality Smyth-sewn cloth binding in a sturdy, elegant edition.

    The brother of novelist Henry James and of diarist Alice James, William wrote several powerful essays expressing his ideas on the pragmatic theory of truth, sentience, and human beings' right to believe. In "The Will to Believe", James suggests that what a person holds to be true or attainable may exist through that person's belief in them, regardless of a lack of physical evidence. In a sense, he advocates the theory of self-fulfilling prophesies. "Human Immortality" was a speech delivered during the annual Ingersoll Lectureship, given in memory of George Goldthwait Ingersoll, in 1897 at Harvard University. These works are a prime example of the powerful influence William James has had on modern psychology, and are still recognized today for their brilliance and revolutionary impacts on the field.

    The book interacts heavily with the literature on these issues in contemporary analytic metaphysics, so as to facilitate the analytic reader's understanding of Scholastic ideas and the Scholastic reader's understanding of contemporary analytic philosophy.The Aristotelian theory of actuality and potentiality provides the organizing theme, and the crucial dependence of Scholastic metaphysics on this theory is demonstrated. The book is written from a Thomistic point of view, but Scotist and Suarezian positions are treated as well where they diverge from the Thomistic position.

    It had a decisive impact on twentieth century philosophy and is one of few works to have influenced both continental and analytic philosophy.This is the first time both volumes have been available in paperback. They include a new introduction by Dermot Moran, placing the Investigations in historical context and bringing out their contemporary philosophical importance.These editions include a new preface by Sir Michael Dummett.

    Recently, Agamben has begun to direct his thinking to the constitution of the social and to some concrete, ethico-political conclusions concerning the state of society today, and the place of the individual within it.In Homo Sacer, Agamben aims to connect the problem of pure possibility, potentiality, and power with the problem of political and social ethics in a context where the latter has lost its previous religious, metaphysical, and cultural grounding. Taking his cue from Foucault’s fragmentary analysis of biopolitics, Agamben probes with great breadth, intensity, and acuteness the covert or implicit presence of an idea of biopolitics in the history of traditional political theory. He argues that from the earliest treatises of political theory, notably in Aristotle’s notion of man as a political animal, and throughout the history of Western thinking about sovereignty (whether of the king or the state), a notion of sovereignty as power over “life” is implicit.The reason it remains merely implicit has to do, according to Agamben, with the way the sacred, or the idea of sacrality, becomes indissociable from the idea of sovereignty. Drawing upon Carl Schmitt’s idea of the sovereign’s status as the exception to the rules he safeguards, and on anthropological research that reveals the close interlinking of the sacred and the taboo, Agamben defines the sacred person as one who can be killed and yet not sacrificed—a paradox he sees as operative in the status of the modern individual living in a system that exerts control over the collective “naked life” of all individuals.

    This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

    Yet despite logic's widely acknowledged importance, it remains an unbroken seal for many, due to its heavy use of jargon and mathematical symbolism.This book follows the historical development of logic, explains the symbols and methods involved and explores the philosophical issues surrounding the topic in an easy-to-follow and friendly manner. It will take you through the influence of logic on scientific method and the various sciences from physics to psychology, and will show you why computers and digital technology are just another case of logic in action.

    However, Burke's analysis of the relationship between emotion, beauty, and art form is now recognized as not only an important and influential work of aesthetic theory, but also one of the first major works in European literature on the Sublime, a subject that has fascinated thinkers from Kant and Coleridge to the philosophers and critics of today.

    The work also constitutes an enduring critique of liberalism and socialism from the perspective of an extreme eccentric individualism. Stirner has latterly been portrayed variously as a precursor of Nietzsche, a forerunner of existentialism, an individualist anarchist, and as manifestly insane. This edition includes an Introduction placing Stirner in his historical context.

    As well as looking at logic in theoretical terms the book considers its everyday uses and demonstrates how it has genuine practical applications. It will take you step by step through the most difficult concepts and is packed with exercises to help you consolidate your learning at every stage. Covering everything from syllogistic logic to logical paradoxes and even looking at logic in Alice in Wonderland, this is the only guide you will ever need.

    This is the currently used textbook for "Probabilistic Systems Analysis," an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains, a number of more advanced topics, from which an instructor can choose to match the goals of a particular course. These topics include transforms, sums of random variables, least squares estimation, the bivariate normal distribution, and a fairly detailed introduction to Bernoulli, Poisson, and Markov processes. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis has been just intuitively explained in the text, but is developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems. The book has been widely adopted for classroom use in introductory probability courses within the USA and abroad.

    It is not a mere reorganization of the data into a new kind of library catalogue, nor another specualtive philosophy about the nature of man and language, but rather a rigorus explication of our intuitions about our language in terms of an overt axiom system, the theorems derivable from it, explicit results which may be compared with new data and other intuitions, all based plainly on an overt theory of the internal structure of languages; and it may well provide an opportunity for the application of explicity measures of simplicity to decide preference of one form over another form of grammar.

    Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.

    Now he offers a profound understanding of how we create a social reality--a reality of money, property, governments, marriages, stock markets and cocktail parties. The paradox he addresses in Making the Social World is that these facts only exist because we think they exist and yet they have an objective existence. Continuing a line of investigation begun in his earlier book The Construction of Social Reality, Searle identifies the precise role of language in the creation of all "institutional facts." His aim is to show how mind, language and civilization are natural products of the basic facts of the physical world described by physics, chemistry and biology. Searle explains how a single linguistic operation, repeated over and over, is used to create and maintain the elaborate structures of human social institutions. These institutions serve to create and distribute power relations that are pervasive and often invisible. These power relations motivate human actions in a way that provides the glue that holds human civilization together. Searle then applies the account to show how it relates to human rationality, the freedom of the will, the nature of political power and the existence of universal human rights. In the course of his explication, he asks whether robots can have institutions, why the threat of force so often lies behind institutions, and he denies that there can be such a thing as a "state of nature" for language-using human beings.