Description
Book SynopsisTopics covered include the realism/anti-realism debate in mathematics, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Intended as a primary text for an introductory undergraduate course in the philosophy of mathematics.
Trade Review'The present book is like a warm breeze after a cold winter in the rarefied atmosphere of the philosophy of mathematics … the philosophical discussions are always clear, provocative and stimulating. One of the challenges an instructor will face by adopting this book will undoubtedly be to contain the desire of students to discuss in depth some of the issues presented and to curb their enthusiasm and desire to know more or find answers to the questions.' Mathematical Reviews
Table of Contents1. Mathematics and its philosophy; 2. The limits of mathematics; 3. Plato's heaven; 4. Fiction, metaphor, and partial truths; 5. Mathematical explanation; 6. The applicability of mathematics; 7. Who's afraid of inconsistent mathematics?; 8. A rose by any other name; 9. Epilogue: desert island theorems.
