Introducing students to the core philosophical issues surrounding modern physics and the ideas, which have shaped our current understanding of the subject, the book is based on lectures by H. W. Watson and sets out to illuminate and implicate the inextricably entwined nature of philosophy and physics and the importance of logic.

_'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.'_ _– The Guardian_ In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of physicist Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system. The importance of Godel's Proof rests upon its radical implications and has echoed throughout many fields, from maths (...) to science to philosophy, computer design, artificial intelligence, even religion and psychology. While others such as Douglas Hofstadter and Roger Penrose have published bestsellers based on Godel’s theorem, this is the first book to present a readable explanation to both scholars and non-specialists alike. A gripping combination of science and accessibility, _Godel’s Proof_ by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity. _Kurt Godel_ Born in Brunn, he was a colleague of physicist Albert Einstein and professor at the Institute for Advanced Study in Princeton, N.J. (shrink)

In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system and had radical implications that have echoed throughout many fields. A gripping combination of science and accessibility, _Godel’s Proof_ by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy (...) the chance to satisfy their intellectual curiosity. (shrink)

Intellectual diary of a thinker of the school of Logical Positivism showing the day-by-day development of his philosophical ideas.

Ludwig Wittgenstein's philosophical work is informed throughout by a particular broad theme: that the semantic and mentalistic attributes of language and human life are shown by verbal and nonverbal conduct, but that they resist incorporation into the domain of the straightforwardly factual. So argues John Koethe, in contrast to the standard view that Wittgenstein's earlier and later philosophical positions are sharply opposed. According to the received view, Wittgenstein's thinking underwent a radical transformation after the Tractatus, leading him to abandon classical (...) realism and to develop an alternative semantics based on the notion of warranted assertability. Koethe maintains that the thesis that semantic claims are not made true by any facts whatsoever, which was a central part of Wittgenstein's early theory of elementary propositions, was one he continued to develop in his later writings, and that it is perfectly compatible with classical realism. In making his case for the essential continuity of Wittgenstein's thought, Koethe ranges over the entire corpus of the philosopher's writing, and concludes by pointing out connections between Wittgenstein's views and those of several contemporary philosophers, including Nagel, Dennett, Davidson, and Dummett. (shrink)

Studies the central topics of Wittgenstein's philosophy prior to and within the first parts of the Tractatus, covering such subjects as objects, substance, states of affairs, elementary propositions, pictures, and thoughts. He concludes that analysis is reduction to what is basic not in experience but in reference, and argues that the Tractatus is concerned not with problems of knowledge but with problems of sense.

Zettel, an en face bilingual edition, collects fragments from Wittgenstein's work between 1929 and 1948 on issues of the mind, mathematics, and language.

These works, as the sub-title makes clear, are unfinished sketches for Philosophical Investigations, possibly the most important and influential philosophical work of modern times. The 'Blue Book' is a set of notes dictated to Witgenstein's Cambridge students in 1933-1934: the 'Brown Book' was a draft for what eventually became the growth of the first part of Philosophical Investigations. This book reveals the germination and growth of the ideas which found their final expression in Witgenstein's later work. It is indispensable therefore (...) to students of Witgenstein's thought and to all those who wish to study at first-hand the mental processes of a thinker who fundamentally changed the course of modern philosophy. (shrink)

When in May 1930, the Council of Trinity College, Cambridge, had to decide whether to renew Wittgenstein's research grant, it turned to Bertrand Russell for an assessment of the work Wittgenstein had been doing over the past year. His verdict: "The theories contained in this new work . . . are novel, very original and indubitably important. Whether they are true, I do not know. As a logician who likes simplicity, I should like to think that they are not, but (...) from what I have read of them I am quite sure that he ought to have an opportunity to work them out, since, when completed, they may easily prove to constitute a whole new philosophy." "[ Philosophical Remarks ] contains the seeds of Wittgenstein's later philosophy of mind and of mathematics. Principally, he here discusses the role of indispensable in language, criticizing Russell's The Analysis of Mind . He modifies the Tractatus 's picture theory of meaning by stressing that the connection between the proposition and reality is not found in the picture itself. He analyzes generality in and out of mathematics, and the notions of proof and experiment. He formulates a pain/private-language argument and discusses both behaviorism and the verifiability principle. The work is difficult but important, and it belongs in every philosophy collection."--Robert Hoffman, Philosophy "Any serious student of Wittgenstein's work will want to study his Philosophical Remarks as a transitional book between his two great masterpieces. The Remarks is thus indispensible for anyone who seeks a complete understanding of Wittgenstein's philosophy."--Leonard Linsky, American Philosophical Association. (shrink)

Joachim Schulte’s introduction provides a distinctive and masterful account of the full range of Wittgenstein’s thought. It is concise but not compressed, substantive but not overloaded with developmental or technical detail, informed by the latest scholarship but not pedantic. Beginners will find it accessible and seasoned students of Wittgenstein will appreciate it for the illuminating overview it provides.

First published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.

So argues John Koethe, in contrast to the standard view that Wittgenstein's earlier and later philosophical positions are sharply opposed.

It was Paul Engelmann who stimulated Wittgenstein to consider art as the avenue of access to what is higher, the "mystical" in the Tractatus. Unlike the course of their personal friendship, it is not easy to reconstruct the nature of their philosophical confrontation with one another. In the light of their correspondence, Wittgenstein's notebooks and the bit we know from biographers, Wittgenstein's development in the period immediately before he met Engelmann is sketched, discussing the influence of Hertz and Weininger, and (...) determining what his meeting with Engelmann meant for his philosophy. (shrink)

The longest remarks in the section of the Tractatus devoted to science (6.3 ff.) introduce the net metaphor in a discussion of Newtonian mechanics. These sections of the Tractatus are generally believed to be inconsistent with the rest of the book. After a brief description of these difficulties and some relevant historical background I suggest a re-interpretation of the net metaphor in terms of contemporary debates about mechanics. This interpretation shows that the account of science in the Tractatus is an (...) application of the picture theory and eliminates a long standing inconsistency in the reading of Wittgenstein. (shrink)

Pulling up the Ladder discusses how Wittgenstein's early philosophy became widely known largely through the efforts of Russell and other empirically-minded British philosophers, and to a lesser extent, the scientifically-oriented German-speaking philosophers of the Vienna Circle. However, Wittgenstein's primary philosophical concerns arose in a far different context, and failure to grasp this has led to many misunderstandings of the Tractatus. From Brockhaus' investigation of that context and its problems emerges this new interpretation of Wittgenstein's early thought, which also affords fresh (...) insights into the later Wittgenstein. (shrink)

pt. 1. The proposition and its sense.--pt. 2. On logic and mathematics.

The so-called "Big Typescript" is Wittgenstein's first attempt to publish in a book his collected thoughts since his return to Cambridge and to philosophical writing, thus correcting the "serious errors" (Wittgenstein) of his early work. Among the texts in Wittgenstein's estate, the "Big Typescript" is the one that, next to the "Logisch-Philosophische Abhandlung" (the "Tractatus") of 1918, appears to be the most "finished", with a table of contents structured in chapters and sections. It is, however, a fragment, without either title, (...) motto or conclusion. To Wittgenstein, it was important "that the thoughts in [the book] should progress from one subject to another in well-ordered consecutiveness." It is precisely this structure of the "Big Typescript", though ultimately rejected by Wittgenstein, which constitutes the immeasurable value of the text for the study of and as an introduction to Wittgenstein's thinking. (shrink)

Philosopher Ludwig Wittgenstein had an enormous influence on twentieth-century philosophy even though only one of his works, the famous Tractatus Logico-Philosophicus, was published in his lifetime. Beyond this publication the impact of his thought was mainly conveyed to a small circle of students through his lectures at Cambridge University. Fortunately, many of his ideas have survived in both the dictations that were subsequently published, and the notes taken by his students, among them Alice Ambrose and the late Margaret Macdonald, from (...) 1932 to 1935. These notes, now edited by Professor Ambrose, are here published, and they shed much light on Wittgenstein's philosophical development. Among the topics considered are the meaning of a word and its relation to common usage, rules of grammar and their relation to fact, the grammar of first person statements, language games, and the nature of philosophy. This volume is indispensable to any serious discussion of Wittgenstein's work. (shrink)

Since the first publication of Insight and Illusion in l972, a wealth of Wittgenstein's writings have become accessible. Accordingly, in this edition Professor Hacker has rewritten six of his eleven original chapters and revised the others to incorporate the new abundant material. Insight and Illusion now fully clarifies the historical backgrounds of Wittgenstein's highly different masterpieces, the Tractatus and the Investigations, and traces the evolution of Wittgenstein's thought. Hacker explains all of Wittgenstein's writings in detail, focusing on his critique of (...) metaphysics, his famous "private language argument," and his account of self-consciousness. (shrink)

This is a remarkable book about a man (perhaps the most important and original philosopher of our age), a society (the corrupt Austro-Hungarian Empire on the eve of dissolution), and a city (Vienna, with its fin-de siecle gaiety and corrosive melancholy). The central figure in this study of a crumbling society that gave birth to the modern world is Wittgenstein, the brilliant and gifted young thinker. With others, including Freud, Viktor Adler, and Arnold Schoenberg, he forged his ideas in a (...) classical revolt against the stuffy, doomed, and moralistic lives of the old regime. As a portrait of Wittgenstein, the book is superbly realized; it is even better as a portrait of the age, with dazzling and unusual parallels to our own confused society. Allan Janik and Stephen Toulmin have acted on a striking premise: an understanding of prewar Vienna, Wittgenstein s native city, will make it easier to comprehend both his work and our own problems .This is an independent work containing much that is challenging, new, and useful. New York Times Book Review.". (shrink)

The Argument of the "Tractatus" presents a single unified interpretation of the Tractatus based on Wittgenstein's own view that the philosophy of logic is the real foundation of his philosophical system.

Excerpt from Die Prinzipien der Mechanik in Neuem Zusammenhange Dargestellt Wahl eines Berufs entschliefsen mufste, wahlte er den des Ingenieurs. Es scheint, dafs die auch in spateren Jahren als ein charakteristischer Grundzug seines Wesens hervor tretende Bescheidenheit ihn an seiner Begabung fur theore tische Wissenschaft zweifeln liefs, und dafs er sich bei der Beschaftigung mit seinen geliebten mechanischen Arbeiten des Erfolges sicherer fuhlte, weil er deren Tragweite schon damals ausreichend verstand. Vielleicht hat ihn auch die in seiner Vaterstadt herrschende, mehr (...) dem Praktischen zugeneigte Sinnesweise beeinflufst. Ubrigens beobachtet man nicht selten diese Art zaghafter Bescheidenheit gerade bei jungen Leuten von hervorragenden Anlagen. Sie haben wohl eine deutliche Vorstellung von den Schwierigkeiten, die vor der Erreichung des ihnen vorschwebenden hohen Zieles zu uberwinden sind, und mussen ihre Krafte erst praktisch erprobt haben, ehe sie das zu ihrem schweren Werke notige Selbstvertrauen ge winnen. Aber auch in ihrer spateren Entwickelung pflegen reich veranlagte Naturen um so unzufriedener mit ihren eigenen Werken zu sein je hoher ihre Fahigkeiten und ihre Ideale reichen. Die Begabtesten erreichen offenbar nur des halb das Hochste, weil sie am empfindlichsten gegen jede Un vollkommenheit sind, und am unermudlichsten an deren Beseitigung arbeiten. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which _Principia Mathematica_ provided the detailed proof, and introduced the work of Frege to a wider (...) audience. In addition to the new introduction by John Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics. (shrink)

First published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.

In this remarkably clear and original study of the Tractatus Peter Carruthers has two principal aims. He seeks to make sense of Wittgenstein's metaphysical doctrines, showing how powerful arguments may be deployed in their support. He also aims to locate the crux of the conflict between Wittgenstein's early and late philosophies. This is shown to arise from his earlier commitment to the objectivity of logic and logical relations, which is the true target of attack of his later discussion of rule-following. (...) Within this general framework Dr Carruthers explores a number of themes, including the early Wittgenstein's doctrine of the priority of logic over metaphysics, the nature and purpose of his programme of analysis for ordinary language and the various possible arguments supporting the existence of Simples. He offers many original interpretations and defends them with considerable attention to textual detail, yet the book's clarity and directness will make it accessible to anyone acquainted with the Tractatus. It will be required reading for all serious students of Wittgenstein's philosophy. (shrink)