An Introduction to the Philosophy of Mathematics (Cambridge Introductions to Philosophy)
"...Colyvan's introduction eschews a historically based, comprehensive survey. His final chapter contains a brief description of 20 selected mathematical theorems of philosophical interest. This skillfully written work, including liberal use of analogy and extensive exercises and recommended readings, is a stimulating introduction to some of the most discussed topics in contemporary philosophy of mathematics. Accessible to undergraduates with a background in mathematical logic... Highly recommended..."--L.C. Archie, Lander University, CHOICE"The present book is like a warm breeze after a cold winter in the rarefied atmosphere of the philosophy of mathematics.... The book is very well written and a pleasure to read. The chapters are short, clear and well structured.... include a list of discussion questions and recommended readings at the end of each chapter. ...it is a wonderful initiative.... I would not hesitate to use this book in an advanced undergraduate class in 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."--Jean-Pierre Marquis, Mathematical Reviews