Suitable for advanced undergraduates and graduate students from diverse fields and varying backgrounds, this self-contained course in mathematical logic features numerous exercises that vary in difficulty. The author is a Professor of Mathematics at the University of Wisconsin.

Definite descriptions, I shall argue, have two possible functions. 1] They are used to refer to what a speaker wishes to talk about, but they are also used quite differently. Moreover, a definite description occurring in one and the same sentence may, on different occasions of its use, function in either way. The failure to deal with this duality of function obscures the genuine referring use of definite descriptions. The best known theories of definite descriptions, those of Russell and Strawson, (...) I shall suggest, are both guilty of this. Before discussing this distinction in use, I will mention some features of these theories to which it is especially relevant. (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)

It is gratifying to see that philosophers' continued interest in Words and Objections has been so strong as to motivate a paperback edition. This is gratifying because it vindicates the editors' belief in the permanent im portance of Quine's philosophy and in the value of the papers com menting on it which were collected in our volume. Apart from a couple of small corrections, only one change has been made. The list of Professor Quine's writings has been brought up to (...) date. The editors cannot claim any credit for this improvement, however. We have not tried to imitate the Library of Living Philosophers volumes and to include Professor Quine's autobiography in this volume, but we are fortunate to publish here his brand-new auto bibliography. 1975 THE EDITORS TABLE OF CONTENTS V PREFACE 1 EDITORIAL INTRODUCTION 1. 1. C. SMAR T / Quine's Philosophy of Science 3 GILBERT HARMAN / An Introduction to 'Translation and Meaning', Chapter Two of Word and Object 14 ERIK STENIUS / Beginning with Ordinary Things 27 NOAM CHOMSKY / Quine's Empirical Assumptions 53 1AAKKO HINTIKKA / Behavioral Criteria of Radical Translation 69 BARRY STROUD / Conventionalism and the Indeterminacy of Translation 82 P. F. STRA WSON / Singular Terms and Predication 97 118 H. P. GRICE / Vacuous Names P. T. (shrink)

Articles: Smart, "Quine's Philosophy of science"; Harman, "An Introduction to 'Translation and Meaning', Chapter Two of Word and Object"; Stenius, "Beginning with Ordinary Things"; Chomsky, "Quine's Empirical Assumptions"; Hintikka, "Behavioral Criteria of Radical Translation"; Stroud, "Conventionalism and the Indeterminacy of Translation"; Strawson, "Singular Terms and Predication"; Grice, "Vacuous Names"; Geach, "Quine's Syntactical Insights"; Davidson, "On Saying That"; Follesdal, "Quine on Modality"; Sellars, "Some Problems about Belief"; Kaplan, "Quantifying In"; Berry, "Logic with Platonism"; Jensen, "On the Consistency of a Slight (?) (...) Modification in Quine's New Foundations"; Quine, "Replies"; Publications of W. V. Quine. (shrink)