Contemporary Mathematical Thinking

Frédéric Patras, alumnus of the École Normale Supérieure and research director at CNRS, is a mathematician and philosopher. Also author of a book on the concept of number, he published and edited moreover a hundred works on various subjects. As a philosopher, he is primarily interested in what the philosophical tradition can bring today to our understanding of science and mathematics.

• 1. Introduction.- 2. Style in Mathematics.- 3. From Plato to Husserl.- 4. The Origins of modern Mathematics.- 5. Axioms and Intuitions.- 6. The structuralist Current.- 7. Structures and Categories.- 8. The Homes of Thought.- 9. To the Meeting of Reality.- 10. Conclusion.- References.