Between April and November 1912, Bertrand Russell and Ludwig Wittgenstein were engaged in a joint philosophical program. Wittgenstein‘s meeting with Gottlob Frege in December 1912 led, however, to its dissolution – the joint program was abandoned. Section 2 of this paper outlines the key points of that program, identifying what Russell and Wittgenstein each contributed to it. The third section determines precisely those features of their collaborative work that Frege criticized. Finally, building upon the evidence developed in the preceding two (...) sections, section 4 recasts along previously undeveloped lines Wittgenstein‘s logical–philosophical discoveries in the two years following his encounter with Frege in 1912. The paper concludes, in section 5, with an overview of the dramatic consequences the Frege-Wittgenstein critique had for Russell‘s philosophical development. (shrink)

Influenced by G. E. Moore, Russell broke with Idealism towards the end of 1898; but in later years he characterized his meeting Peano in August 1900 as ?the most important event? in ?the most important year in my intellectual life?. While Russell discovered his paradox during his post-Peano period, the question arises whether he was already committed, during his pre-Peano Moorean period, to assumptions from which his paradox may be derived. Peter Hylton has argued that the pre-Peano Russell was thus (...) vulnerable to (at least one version of) Russell's paradox and hence that the paradox exposes a pre-existing difficulty in Russell's Moorean philosophy. Contrary to Hylton, I argue that the Moorean Russell adhered to views which insulated him against the paradox. Further, I argue that Russell became vulnerable to his paradox as a result of changes in his Moorean position occasioned, first, by his acceptance of Cantor's theory of the transfinite, and, second, by his correspondence with Frege. I conclude with some general comments regarding Russell's acceptance of naïve set theory. (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)

In the Tractatus Wittgenstein criticizes Frege and Russell's view that laws of inference (Schlussgesetze) "justify" logical inferences. What lies behind this criticism, I argue, is an attack on Frege and Russell's conceptions of logical entailment. In passing, I examine Russell's dispute with Bradley on the question whether all relations are "internal".

My topic is the question 'Does time pass?'. Although much has been written in attempts to answer this question, not enough attention has been paid to the asking of the question itself. As a result, it has not been clear exactly what is at issue in this matter, and, consequently, it has not been clear just what are the different views available to one who wishes to give an answer to the question. I hope to ameliorate this situation. ;The aims (...) of my essay are: to state the issues involved in the controversy over temporal passage in a fruitful way; to formulate what I see as the leading candidates among the possible responses to those issues; and to consider the best arguments relevant to the choice among these alternative views. ;Roughly one-quarter of the essay is devoted to linguistic questions about time and tense. Another quarter is devoted to metaphysical matters involving the status of such putative properties as pastness, presentness and futurity. What emerge are not just two but, rather, five distinct views about whether or not time passes: one view, which I call the 4D view, to the effect that time does not pass, and four different views, which I call the 3D views, to the effect that time does pass. Each of these five views consists of a package of linguistic and metaphysical components. ;Once I have formulated these five different views, I present, for each of the five views, a formal language, with semantics, that would be appropriate for that view. Next, various arguments that have been suggested in the literature against the claim that time passes are considered as arguments against the 3D views; each such argument is found to be defective. Similarly, various arguments that have been suggested in the literature against the claim that time does not pass are considered as arguments against the 4D view; each of these arguments is also found to be defective. ;Finally, I explain why I prefer a certain one of the 3D views over its four rivals, and I consider some possible objections to that view. (shrink)