Wittgenstein, Mathematics and World
About this book
This book uses Ludwig Wittgenstein's philosophical methodology to solve a problem that has perplexed thinkers for thousands of years: 'how come (abstract) mathematics applies so wonderfully well to the (concrete, physical) world?'The book is distinctive in several ways. First, it gives the reader a route into understanding important features of Wittgenstein's writings and lectures by using his methodology to tackle this long-standing and seemingly intractable philosophical problem. More than this, though, it offers an outline of important (sometimes little-known) aspects of the development of mathematical thought through the ages, and an engagement of Wittgenstein's philosophy with this and with contemporary philosophy of mathematics on its own terms. A clear overview of all this in the context of Wittgenstein's philosophy of mathematicsis interesting in its own right; it is also just what is needed to solve the problem of mathematics and world.
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Information
Table of contents
- Series Editor’s Foreword
- Contents
- Introduction
- 1 The Problem Posed
- 2 Fictionalism
- 3 Infinity and Concept-Determination
- 4 The Logical Must
- 5 The Problem Solved
- Appendix 1 Groups, Transformations and Homomorphisms
- Appendix 2 A Representation Theorem
- Bibliography
- Index
