In arithmetic, if only because many of its methods and concepts originated in India, it has been the tradition to reason less strictly than in geometry, ...

The first complete English translation of a groundbreaking work. An ambitious account of the relation of mathematics to logic. Includes a foreword by Crispin Wright, translators' Introduction, and an appendix on Frege's logic by Roy T. Cook. The German philosopher and mathematician Gottlob Frege (1848-1925) was the father of analytic philosophy and to all intents and purposes the inventor of modern logic. Basic Laws of Arithmetic, originally published in German in two volumes (1893, 1903), is Freges magnum opus. It was (...) to be the pinnacle of Freges lifes work. It represents the final stage of his logicist project the idea that arithmetic and analysis are reducible to logic and contains his mature philosophy of mathematics and logic. The aim of Basic Laws of Arithmetic is to demonstrate the logical nature of mathematical theorems by providing gapless proofs in Frege's formal system using only basic laws of logic, logical inference, and explicit definitions. The work contains a philosophical foreword, an introduction to Frege's logic, a derivation of arithmetic from this logic, a critique of contemporary approaches to the real numbers, and the beginnings of a logicist treatment of real analysis. As is well-known, a letter received from Bertrand Russell shortly before the publication of the second volume made Frege realise that his basic law V, governing the identity of value-ranges, leads into inconsistency. Frege discusses a revision to basic law V written in response to Russells letter in an afterword to volume II. The continuing importance of Basic Laws of Arithmetic lies not only in its bearing on issues in the foundations of mathematics and logic but in its model of philosophical inquiry. Frege's ability to locate the essential questions, his integration of logical and philosophical analysis, and his rigorous approach to criticism and argument in general are vividly in evidence in this, his most ambitious work. Philip Ebert and Marcus Rossberg present the first full English translation of both volumes of Freges major work preserving the original formalism and pagination. The edition contains a foreword by Crispin Wright and an extensive appendix providing an introduction to Frege's formal system by Roy T. Cook. Readership: Scholars and advanced students in philosophy of logic, philosophy of mathematics, and early analytic philosophy. (shrink)

Landini discusses the second edition of Principia Mathematica, to show Russella (TM)s intellectual relationship with Wittgenstein and Ramsey.

Available for the first time in 20 years, here are two important works from the 1920s by the best-known representative of the Vienna Circle.

This paper considers the attempts put forward by A.N. Whitehead and by Bertrand Russell to ‘construct’ points (and temporal instants) from what they regard as the more basic concept of extended ‘regions’. It is shown how what they each say themselves will not do, and how it should be filled out and amended so that the ‘construction’ may be regarded as successful. Finally there is a brief discussion of whether this ‘construction’ is worth pursuing, or whether it is better—as in (...) today’s mathematics—to prefer a ‘construction’ that goes the other way round, i.e. , to view a region as a set of points. (shrink)

With this third edition of Nelson Goodman's The Structure of Appear ance, we are pleased to make available once more one of the most in fluential and important works in the philosophy of our times. Professor Geoffrey Hellman's introduction gives a sustained analysis and appreciation of the major themes and the thrust of the book, as well as an account of the ways in which many of Goodman's problems and projects have been picked up and developed by others. Hellman also (...) suggests how The Structure of Appearance introduces issues which Goodman later continues in his essays and in the Languages of Art. There remains the task of understanding Good man's project as a whole; to see the deep continuities of his thought, as it ranges from logic to epistemology, to science and art; to see it therefore as a complex yet coherent theory of human cognition and practice. What we can only hope to suggest, in this note, is the b. road Significance of Goodman's apparently technical work for philosophers, scientists and humanists. One may say of Nelson Goodman that his bite is worse than his bark. Behind what appears as a cool and methodical analysis of the conditions of the construction of systems, there lurks a radical and disturbing thesis: that the world is, in itself, no more one way than another, nor are we. It depends on the ways in which we take it, and on what we do. (shrink)

The Concept of Law is the most important and original work of legal philosophy written this century. First published in 1961, it is considered the masterpiece of H.L.A. Hart's enormous contribution to the study of jurisprudence and legal philosophy. Its elegant language and balanced arguments have sparked wide debate and unprecedented growth in the quantity and quality of scholarship in this area--much of it devoted to attacking or defending Hart's theories. Principal among Hart's critics is renowned lawyer and political philosopher (...) Ronald Dworkin who in the 1970s and 80s mounted a series of challenges to Hart's Concept of Law. It seemed that Hart let these challenges go unanswered until, after his death in 1992, his answer to Dworkin's criticism was discovered among his papers. In this valuable and long-awaited new edition Hart presents an Epilogue in which he answers Dworkin and some of his other most influential critics including Fuller and Finnis. Written with the same clarity and candor for which the first edition is famous, the Epilogue offers a sharper interpretation of Hart's own views, rebuffs the arguments of critics like Dworkin, and powerfully asserts that they have based their criticisms on a faulty understanding of Hart's work. Hart demonstrates that Dworkin's views are in fact strikingly similar to his own. In a final analysis, Hart's response leaves Dworkin's criticisms considerably weakened and his positions largely in question. Containing Hart's final and powerful response to Dworkin in addition to the revised text of the original Concept of Law, this thought-provoking and persuasively argued volume is essential reading for lawyers and philosophers throughout the world. (shrink)

Tractatus Logico-Philosophicus by Ludwig Wittgenstein: three parallel tree-structured editions. (1) Tree-structured arrangement of the German text, edited by David G. Stern, Joachim Schulte and Katia Saporiti. (2) Tree-structured arrangement of the English translation by Ogden and Ramsey, edited by David G. Stern. (3) Tree-structured arrangement of the English translation by Pears and McGuinness, edited by David G. Stern.

This influential 1888 publication explained the real numbers, and their construction and properties, from first principles.

Gathered together here are the fundamental texts of the great classical period in modern logic. A complete translation of Gottlob Frege's Begriffsschrift--which opened a great epoch in the history of logic by fully presenting propositional calculus and quantification theory--begins the volume, which concludes with papers by Herbrand and by Gödel.

This collection, with contributions from leading philosophers, places analytic philosophy in a broader context comparing it with the methodology of its most important rival tradition in twentieth-century philosophy--phenomenology, whose development parallels the development of analytic philosophy in many ways. _The Analytic Turn _will be of great interest to historians of philosophy generally, analytic philosophers, and phenomenologists.

Introduction -- Stout's proto-new-realism -- Situating G.F. Stout -- Stout's doctrine of primary and secondary qualities -- Stout and the Brentano School -- Representative function of presentations -- Sensible space and real space -- Cook Wilson's geometrical counter-example -- Stout's central question -- Ideal constructions -- Ideal constructions in psychology and epistemology -- British new realism : the language of madness -- Stout's criticisms of Alexander -- Alexander's response -- The nature of sensations, images, and other presentations -- What is (...) the metaphysical problem? -- "How can the interpretation which is supplied by the mind be a constituent of the [physical] object?" -- Some general remarks -- British new realism : the language of common-sense -- T.P. Nunn and the new realism -- Nunn and things -- Nunn's postulate -- Russell and Stout on sensible objects -- Russell, sense-data and sensibilia -- The methods of construction -- Russell's constructions and Nunn's postulate -- Constructions, psychology, and the essence of philosophy -- The methods of logical construction -- A mathematical development -- The principle of abstraction. (shrink)

In this collection of essays one of the preeminent philosophers of science writing offers a reinterpretation of the enduring significance of logical positivism, the revolutionary philosophical movement centered around the Vienna Circle in the 1920s and 30s. Michael Friedman argues that the logical positivists were radicals not by presenting a new version of empiricism but rather by offering a new conception of a priori knowledge and its role in empirical knowledge. This collection will be mandatory reading for any philosopher or (...) historian of science interested in the history of logical positivism in particular or the evolution of modern philosophy in general. (shrink)