Simon Duffy is a Research Fellow in Philosophy at the University of Sydney, Australia. He is the author of The Logic of Expression: Quality, Quantity and Intensity in Spinoza, Hegel and Deleuze (Ashgate, 2006) and editor of Virtual Mathematics: The Logic of Difference (Clinamen Press, 2006). Albert Lautman (1908-1944) was a French mathematical philosopher. An escaped prisoner-of-war, he was killed by the Nazis in Toulouse in 1944. His work in the philosophy of mathematics has since had a profound influence on modern European philosophy, in particular the work of Gilles Deleuze and Alain Badiou.

• Translator's Note; Acknowledgements; 1. Introduction Jacques Lautman; 2. Bibliography of secondary material on the work of Albert Lautman; 3. Albert Lautman and the Creative Dialectic of Modern Mathematics Fernando Zalamea; 4. Preface to the 1977 Edition Jean Dieudonne; 5. Considerations on Mathematical Logic; 6. Mathematics and Reality; 7. International Congress of the Philosophy of the Sciences; 8. On the Reality Inherent to Mathematical Theories; 9. The Axiomatic and the Method of Division; 10. Essay on the Unity of the Mathematical Sciences in their Current Development; 11. Essay on the Notions of Structure and Existence in Mathematics; 12. New Research on the Dialectical Structure of Mathematics; 13. Letter to Mathematician Maurice Frechet; 14. Symmetry and Dissymmetry in Mathematics and in Physics; Bibliography; Index.

Reading Lautman can help us enrich our picture of the development of the field and take into consideration an option quite different from the received view.