Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.

The debate on the foundations of knowledge and meaning has gained particular attention in recent philosophical discourse. A number of commentators, including Richard Rorty, have categorized leading contemporary philosophers such as Wittgenstein as being ‘anti-foundationalist". In this comprehensive analysis of Wittgenstein’s concept of the form of life and its implications, Professor Conway takes issue with this characterization of Wittgenstein. Instead, the author interprets Wittgenstein as continuing the discussion of foundations, while radically transforming the very understanding of foundations.

Wittgenstein's Remarks on the Foundations of AI is a valuable contribution to the study of Wittgenstein's theories and his controversial attack on artifical intelligence, which successfully crosses a number of disciplines, including philosophy, psychology, logic, artificial intelligence and cognitive science, to provide a stimulating and searching analysis.