ウィトゲンシュタイン、有限論と数学の基礎 Wittgenstein, Finitism, and the Foundations of Mathematics

Marion, Mathieu

Oxford University Press（2008/08発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 282 p.
• 言語 ENG
• 商品コード 9780199550470
• DDC分類 510.1

基本説明

New in paperback. Hardcover was published in 1999.

Full Description

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.

Contents

1. Wittgenstein's Anti-Platonism ; 2. Logicism without Classes ; 3. Arbitrary Functions ; 4. Quantification and Finitism ; 5. From Truth-Functional Logic to a Logic of Equations ; 6. Philosophy and Logical Foundations ; 7. The Continuum ; 8. Strict Finitism ; Bibliography ; Index