Ludwig Wittgenstein is one of the greatest and most fascinating philosophers of all time. His Tractatus Logico-Philosophicus, composed in a series of remarkable numbered propositions, was the only book he published in his lifetime. He tackles nothing less than the question of whether there is such a thing as a logically perfect language and, armed with it, what we can say about the nature of the world itself. Pushing the limits of language, logic and philosophy, the Tractatus is a brilliant, (...) cryptic and hypnotic tour de force, exerting a major impact on twentieth-century philosophy and stirring the imagination today. With a new foreword by Ray Monk. (shrink)

W. V. Quine’s systematic development of mathematical logic has been widely praised for the new material presented and for the clarity of its exposition. This revised edition, in which the minor inconsistencies observed since its first publication have been eliminated, will be welcomed by all students and teachers in mathematics and philosophy who are seriously concerned with modern logic. Max Black, in Mind, has said of this book, “It will serve the purpose of inculcating, by precept and example, standards of (...) clarity and precision which are, even in formal logic, more often pursued than achieved.”. (shrink)

No serious philosopher or student of philosophy can afford to neglect Wittgenstein's work. Professor Fogelin provides an authoritative critical evaluation of both the _Tractatus Logico-Philosophicus_ and _Philosophical Investigations_, enabling the reader to come to grips with these difficult yet key works. Fogelin explains Wittgenstein's attempt in the _Tractatus_ to combine a picture theory of propositional structure, and also explores Wittgenstein's own criticisms of the Tractarian synthesis. He gives particular attention to topics in the philosophy of language, logic, psychology and the (...) foundations of mathematics, examining Wittgenstein's work on these fields and arguing that Wittgenstein's criticisms in these areas form the basis for a radically new standpoint in philosophy. (shrink)

Self-taught mathematician and father of Boolean algebra, George Boole (1815-1864) published An Investigation of the Laws of Thought in 1854. In this highly original investigation of the fundamental laws of human reasoning, a sequel to ideas he had explored in earlier writings, Boole uses the symbolic language of mathematics to establish a method to examine the nature of the human mind using logic and the theory of probabilities. Boole considers language not just as a mode of expression, but as a (...) system one can use to understand the human mind. In the first 12 chapters, he sets down the rules necessary to represent logic in this unique way. Then he analyses a variety of arguments and propositions of various writers from Aristotle to Spinoza. One of history's most insightful mathematicians, Boole is compelling reading for today's student of intellectual history and the science of the mind. (shrink)

R. G. Collingwood saw one of the main tasks of philosophers and of historians of human thought in uncovering what he called the ultimate presuppositions of different thinkers, of different philosophical movements and of entire eras of intellectual history. He also noted that such ultimate presuppositions usually remain tacit at first, and are discovered only by subsequent reflection. Collingwood would have been delighted by the contrast that constitutes the overall theme of the essays collected in this volume. Not only has (...) this dichotomy ofviews been one ofthe mostcrucial watersheds in the entire twentieth-century philosophical thought. Not only has it remained largely implicit in the writings of the philosophers for whom it mattered most. It is a truly Collingwoodian presupposition also in that it is not apremise assumed by different thinkers in their argumentation. It is the presupposition of a question, an assumption to the effect that a certain general question can be raised and answered. Its role is not belied by the fact that several philosophers who answered it one way or the other seem to be largely unaware that the other answer also makes sense - if it does. This Collingwoodian question can be formulated in a first rough approximation by asking whether language - our actual working language, Tarski's "colloquiallanguage" - is universal in the sense of being inescapable. This formulation needs all sorts of explanations, however. (shrink)

v. 1, pt. 1. The essays -- v. 1, pt. 2. Exigesis, 1-184.

This is the first of David Pears's acclaimed two‐volume work on the development of Wittgenstein's philosophy, covering the pre‐1929 writings. Part I of the first volume consists in a brief but eloquent overview of Wittgenstein's philosophy as a whole; Part II critically examines the earlier system, delineating and evaluating the central ideas (logical atomism, picture theory of meaning, and solipsism) with intellectual rigour and clarity. Pears succeeds in both offering an original realist interpretation of Wittgenstein's earlier thought, one that has (...) found many followers, and in demarcating a structural framework that makes the internal organization of Wittgenstein's philosophy as a whole more accessible. (shrink)