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This text provides a straightforward, lively but rigorous, introduction to truth-functional and predicate logic, complete with lucid examples and incisive exercises, for which Warren Goldfarb is renowned.
The realistic spirit, a nonmetaphysical approach to philosophical thought concerned with the character of philosophy itself, informs all of the discussions in these essays by philosopher Cora Diamond. Diamond explains Wittgenstein's notoriously elusive later writings, explores the background to his thought in the work of Frege, and discusses ethics in a way that reflects his influence. Diamond's new reading of Wittgenstein challenges currently accepted interpretations and shows what it means to look without mythology at the coherence, commitments, and connections that are distinctive of the mind. Representation and Mind series
Table of Contents " Preface " Introductory " The Wittgensteinian Paradox " The Solution and the 'Private Language' Argument " Postscript Wittgenstein and Other Minds " Index.
Over fifteen years have passed since Cora Diamond and James Conant turned Wittgenstein scholarship upside down with the program of “resolute” reading, and ten years since this reading was crystallized in the major collection The New Wittgenstein. This approach remains at the center of the debate about Wittgenstein and his philosophy, and this book draws together the latest thinking of the world’s leading Tractatarian scholars and promising newcomers. Showcasing one piece alternately from each “camp”, Beyond the Tractatus Wars pairs newly commissioned pieces addressing differing views on how to understand early Wittgenstein, providing for the first time an arena in which the debate between “strong” resolutists, “mild” resolutists and “elucidatory” readers of the book can really take place. The collection includes famous “samizdat” essays by Warren Goldfarb and Roger White that are finally seeing the light of day.
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In 1968 Jean van Heijenoort published an edition of Herbrand's collected logic papers (Herbrand 1968). The core of the present volume comprises translations of these papers and of the biographical notes also appearing in that edition. With two exceptions, this is their first appearance in English; the exceptions are Chap. 5 of Herbrand's thesis and Herbrand 1931c, both of which appeared in van Heijenoort 1967, the former trans lated by Burton Dreben and van Heijenoort, and the latter by van Heijenoort. These two translations have been reprinted here, thanks to the permission ofthe Harvard University Press, with only minor changes. The remainder of the present translations are my own; I am gr...
Based on a conference held in June 2007 at the University of California Santa Cruz.
In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborated the nature of the infinite, and in doing so helped transform the face of twentieth-century mathematics. Feferman details the development of Cantorian concepts and the foundational difficulties they engendered. He argues that the freedom provided by Cantorian set theory was purchased at a heavy philosophical price, namely adherence to a form of mathematical platonism that is difficult to support....
The Engaged Intellect collects important essays of John McDowell. Each involves a sustained engagement with the views of an important philosopher and is characterized by a modesty that is partly temperamental and partly methodological. It is typical of McDowell to represent his own best insights either as already to be found in the writings of his heroes (Aristotle, Wittgenstein, Gadamer, and Sellars) or as inevitably emerging from a charitable modification of the views of those (such as Anscombe, Sellars, Davidson, Evans, Rorty, Dreyfus, and Brandom) subjected here to criticism. McDowell therefore develops his own philosophical picture in these pages through a method of indirection. The met...
This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration.• The entire range of modal logic is covered• Serves as a singular contribution to the intellectual history of the 20th century• Contains the latest scholarly discoveries and interpretative insights