Thirteen promising young researchers write on what they take to be the right philosophical account of mathematics and discuss where the philosophy of mathematics ought to be going. New trends are revealed, such as an increasing attention to mathematical practice, a reassessment of the canon, and inspiration from philosophical logic.

Author Biography

ALAN BAKER, Department of Philosophy, Swarthmore College, USA MARK COLYVAN, Department of Philosophy, University of Sydney, Australia ROY COOK, Department of Philosophy, University of Minnesota, USA THOMAS HOFWEBER, University of North Carolina, Chapel Hill, USA PETER KOELLNER, Harvard University, USA HANNES LEITGEB, Department of Philosophy, University of Bristol, UK MARY LENG, Department of Philosophy, University of Liverpool, UK ALEX PASEAU, Wadham College, Oxford, UK CHRIS PINCOCK, Purdue University, USA AGUSTIN RAYO, MIT Department of Linguistics and Philosophy, USA GABRIEL UZQUIANO, Pembroke College, Oxford, UK