Introducing Philosophy of Mathematics

What is mathematics about? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? This is an introduction to the philosophy of mathematics that examines these and other ontological and epistemological problems raised by the content and practice of mathematics.

Acknowledgements Introduction 1. Infinity 2. Platonism and realism 3. Logicism 4. Structuralism 5. Constructivism 6. A pot-pourri of philosophies of mathematics Conclusion Appendix Notes Further reading Index