As well as aiming to revive interest in Meinong's thought, this book challenges many of the most widespread assumptions of philosophical logic.

This book is available either individually, or as part of the specially-priced Arguments of the Philosphers Collection.

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 line with much current literature, Bradley’s regress is here discussed as an argument that casts doubt on the existence of states of affairs or facts, understood as complex entities working as truthmakers for true sentences or propositions. One should distinguish two versions of Bradley’s regress, which stem from two different tentative explanations of the unity of states of affairs. The first version actually shows that the corresponding explanation is incoherent; the second one merely points to some prima facie implausible (...) consequences of the explanation it stems from, e.g., that there are infinite explanatory chains and that, for any given fact, there are infinitely many facts involving exemplification relations of increasing levels. But these consequences can be swal- lowed after all, thereby leading to the acceptance of a doctrine which may be called fact infinitism, a doctrine adumbrated in a well-known discussion of relations by Meinong. (shrink)