Words stand for things of various kinds and for various kinds of things. Because words do this, the sentences made up of words mean what they do, and are capable of expressing our thoughts, our beliefs and conjectures, desires and wishes. This simple idea seems right to me, but it flies in the face of formidable authority. In a famous passage in “Reality without Reference,” Donald Davidson criticizes what he calls the “building-block theory:”.

This paper develops an account of Wittgenstein’s method of language-games as a method of logic that exhibits important continuities with Russell’s and the early Wittgenstein’s conceptions of logic and logical analysis as the method of philosophy. On the proposed interpretation, the method of language-games is a method for isolating and modeling aspects of the uses of linguistic expressions embedded in human activities that enables one to make perspicuous complex uses of expressions by gradually building up the complexity of clarificatory models. (...) Wittgenstein’s introduction of the language-game method constitutes an attempt to overcome certain limitations of calculus-based logical methods, and to respond in this way to problems with Russell’s and his own early philosophy of logic. The method is nevertheless compatible with the employment of calculus-based methods in logic and philosophy, and makes no exclusive claim to being the correct method. (shrink)

This article is concerned to say something about what the study of logic meant to wittgenstein. It is concerned to bring out why the kind of questions wittgenstein raised about logic and mathematics cannot be pursued in a purely formal and abstract manner-As russell pursued them to a very large extent. It tries to understand the prominence wittgenstein gave to a study of these questions in his philosophical investigations and to appreciate the sense in which he regarded a study of (...) logic to be fundamental in philosophy. Part I is largely about the sense in which russell's study of logic is philosophical in character though it differs very considerably, In both style and conception, From wittgenstein's study of it. Part ii is concerned to indicate wittgenstein's dissatisfaction with russell's view that mathematics are indistinguishable from logic and to say something about why he thought that russell's formal proof, Even if valid, Did not establish the philosophical thesis for which he argued. Part iii is concerned to indicate wittgenstein's dissatisfaction with russell's approach to the contradictions in the foundations of mathematics and to say something about his very different treatment of this question. (shrink)