Abstract

This essay is a critical analysis of some themes in Wittgenstein’s later philosophy. It is not primarily Wittgenstein-exegesis. Much more modestly, my purpose is to express my own thoughts about some questions which Wittgenstein has treated in his writings. It is the second in a series of two articles. The first article, “Remarks on Wittgenstein’s Philosophy: Private Language and Meaning", was published in Volume 42, 2007, of the present YEARBOOK. Section 1, “Philosophical Method”. Wittgenstein’s conception of philosophy as language therapy is criticised. Instead philosophy is construed as foundational research. Wittgenstein’s statement that mathematical logic cannot contribute to progress in philosophy is repudiated. Several examples of ideas and results in mathematical logic which have led to the solution of philosophical problems are given. Section 2, “Contradictions: The Wittgenstein- Turing Debate”. In lectures on the foundations of mathematics given in 1939, Wittgenstein claimed that contradictions in mathematical theories are harmless. A debate ensued on this question between him and Alan Turing. In support of Turing's standpoint, I use the theorem on Taylor series, Church's Theorem, and Gentzen’s Cut-Elimination Theorem to show that Wittgenstein’s standpoint is untenable. For orientation, I also include here the abstract for the first article in the series, “Remarks on Wittgenstein’s Philosophy: Private Language and Meaning”. Section 1, “The Private Language Argument”. An independent argument is given for Wittgenstein’s thesis that there is no private language. I show that psychological terms in ordinary language, in contrast to an implication of Wittgenstein’s own private language argument, in their meanings do contain references to inner states, processes, and events. Section 2, “Meaning”. Wittgenstein’s definition of meaning as use in the language is criticised. Meaning is instead identified with something in the content of a conscious mind. Applications are given to some suggestions in the philosophy of language by Chomsky, Harman and Fodor, Grice, and Kripke.