Abstract

AUTHORS AND TITLESOtávio Bueno and Øystein Linnebo Introduction. Philosophy of mathematics: Old and new, pp. 1–9.Roy T. Cook New waves on an old beach: Fregan philosophy of mathematics today, pp. 13–34.Alexander Paseau Reducing arithmetic to set theory, pp. 35–55.Otávio Bueno Mathematical fictionalism, pp. 59–79.Peter Koellner Truth in mathematics: The question of pluralism, pp. 80–116.Mary Leng ‘Algebraic’ approaches to mathematics, pp. 117–134.Alan Baker Mathematical accidents and the end of explanation, pp. 137–159.Mark Colyvan Applying inconsistent mathematics, pp. 160–172.Christopher Pincock Towards a philosophy of applied mathematics, pp. 173–194.Thomas Hofweber Formal tools and the philosophy of mathematics, pp. 197–219.Øystein Linnebo The individuation of the natural numbers, pp. 220–238.Agustín Rayo Toward a trivialist account of mathematics, pp. 239–260.Hannes Leitgeb Formal and informal provability, pp. 263–299.Gabriel Uzquiano Quantification without a domain, pp. 300–323.