Deep Beauty

Hans Halvorson is Professor of Philosophy at Princeton University. He has written extensively on the foundations of quantum physics, with articles appearing in the Journal of Mathematical Physics, the Physical Review, Philosophy of Science, and the British Journal for the Philosophy of Science, among others. He is currently working on applying the tools of category theory to questions in the foundations of mathematics. Halvorson has been the recipient of the Mellon New Directions Fellowship (2007), the Cushing Memorial Prize in the History and Philosophy of Physics (2004), Best Article of the Year by a Recent Ph.D. (Philosophy of Science Association, 2001) and Ten Best Philosophy Articles of the Year (The Philosopher's Annual, 2001 and 2002).

Part I. Beyond the Hilbert Space Formalism: Category Theory: 1. A prehistory of n-categorical physics John C. Baez and Aaron Lauda; 2. A universe of processes and some of its guises Bob Coecke; 3. Topos methods in the foundations of physics Chris J. Isham; 4. The physical interpretation of daseinisation Andreas Döring; 5. Classical and quantum observables Hans F. de Groote; 6. Bohrification Chris Heunen, Nicolaas P. Landsman and Bas Spitters; Part II. Beyond the Hilbert Space Formalism: Operator Algebras: 7. Yet more ado about nothing: the remarkable relativistic vacuum state Stephen J. Summers; 8. Einstein meets von Neumann: locality and operational independence in algebraic quantum field theory Miklós Rédei; Part III. Behind the Hilbert Space Formalism: 9. Quantum theory and beyond: is entanglement special? Borivoje Dakić and Časlav Brukner; 10. Is Von Neumann's 'no hidden variables' proof silly? Jeffrey Bub; 11. Foliable operational structures for general probabilistic theories Lucien Hardy; 12. The strong free will theorem John H. Conway and Simon Kochen.