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.
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.
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.