New Waves in Philosophy of Mathematics

General information

New Waves in Philosophy of Mathematics is a collection of essays edited by Otávio Bueno (University of Miami) and Øystein Linnebo (University of Bristol). The volume will be part of the series New Waves in Philosophy, published by Palgrave Macmillan under the general editorship of Vincent Hendricks and Duncan Pritchard.

The aim of the volume is to give promising younger researchers in the philosophy of mathematics a chance to stir up some new ideas. The contributors are invited to write on what they take to be the right philosophical account of mathematics, examining along the way where they think the philosophy of mathematics is and ought to be going.

Acknowledgment of support

We would like to thank the following organizations for their very generous support:

• The British Academy
• The University of Miami: College of Arts and Sciences, Department of Philosophy, Graduate School
• Sydney Centre for the Foundations of Science (University of Sydney)

The conference

In connection with the volume a conference took place 24 – 26 April 2008 at the University of Miami.

Manuscripts

• Alan Baker, “Mathematical Accidents and the End of Explanation”
• Otávio Bueno, “Mathematical Fictionalism”
• Mark Colyvan, “Applying Inconsistent Mathematics”
• Roy Cook, “New Waves on an Old Beach”
• Thomas Hofweber, “Formal Tools and the Philosophy of Mathematics”
• Peter Koellner, “Truth in Mathematics: The Question of Pluralism”
• Hannes Leitgeb, “On Formal and Informal Provability”
• Mary Leng, “‘Algebraic’ Approaches to Mathematics”
• Øystein Linnebo, “The Individuation of the Natural Numbers”
• Alex Paseau, “Reducing Arithmetic to Set Theory”
• Chris Pincock, “Towards a Philosophy of Applied Mathematics”
• Agustín Rayo, “Towards a Trivialist Account of Mathematics”
• Gabriel Uzquiano, “Quantification without a Domain”