The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, (...) and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field. (shrink)

I ON THE PRIMITIVE TERM OF LOGISTICf IN this article I propose to establish a theorem belonging to logistic concerning some connexions, not widely known, ...

In the course of the discussion, Professor Quine pinpoints the difficulties involved in translation, brings to light the anomalies and conflicts implicit in our ...

Selected Logic Papers, long out of print and now reissued with eight additional essays, includes much of the author's important work on mathematical logic and ...

A respected Harvard logician and philosopher gathers together twenty-nine writings dealing with the foundations of mathematics, Rudolf Carnap, lin-guistics, ...

"Some Pow'r did us the giftie grant/ To see oursels as others can't." With that play on Burns' famous line as a preface, Willard Van Orman Quine sets out to spin the yarn of his life so far. And it is a gift indeed to see one of the world's most famous philosophers as no one else has seen him before. To catch an intimate glimpse of his seminal and controversial theories of philosophy, logic, and language as they evolved, and (...) to hear his warm and often amusing comments on famous contemporary philosophers.From his beginnings in Akron, Ohio in the early 1900s, Quine takes us on a tour of over 100 countries over three-quarters of a century, including close observations of the Depression and two world wars. Far from a philosophical tract, it is an ebullient, folksy account of a richly varied and rounded life. When he does dip into philosophy, it is generally of the armchair sort, and laced with a gentle good humor: "There is that which one wants to do for the glory of having done it, and there is that which one wants to do for the joy of doing it. One can want to be a scientist because he wants to see himself as a Darwin or an Einstein, and one can want to be a scientist because he is curious about what makes things tick.... In normal cases the two kinds of motivation are in time brought to terms.... In me the glory motive lingered......In this book, Quine approaches the details of his life the way he has always approached them with a sharp sense of interest, adventure and fun. And he has a skill for picking a word that is just off-center enough to pull an ordinary event out of the humdrum of daily life and evoke its personal meaning. The result is a book of memories that is utterly mesmerizing.Willard Van Orman Quine is the author of numerous books, including Word and Object, published by The MIT Press in 1960.A Bradford Book. (shrink)

Volume I provides a detailed analysis of cylindric algebras, starting with a formulation of their axioms and a development of their elementary properties, and proceeding to a deeper study of their interrelationships by means of general algebraic notions such as subalgebras, homomorphisms, direct products, free algebras, reducts and relativized algebras.

This highly acclaimed book is a major contribution to the philosophy of language as well as a systematic interpretation of Frege, indisputably the father of ...