Philosophia Mathematica 16 (3):402-409 (2008)

John Burgess
Princeton University
This long-awaited volume is a must-read for anyone with a serious interest in philosophy of mathematics. The book falls into two parts, with the primary focus of the first on ontology and structuralism, and the second on intuition and epistemology, though with many links between them. The style throughout involves unhurried examination from several points of view of each issue addressed, before reaching a guarded conclusion. A wealth of material is set before the reader along the way, but a reviewer wishing to summarize the author's views crisply will be frustrated. The chapter-by-chapter survey below conveys at best a very incomplete and imperfect impression of the work's virtues, and even of its contents, falling short even of supplying a full menu for the banquet of food for thought that Parsons serves up to his readers
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DOI 10.1093/philmat/nkn017
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Naming and Necessity.S. Kripke - 1972 - Tijdschrift Voor Filosofie 45 (4):665-666.
Naming and Necessity.Saul Kripke - 1981 - Philosophy 56 (217):431-433.
Realism in Mathematics.Penelope Maddy - 1990 - Oxford, England and New York, NY, USA: Oxford University Prress.
Plural Predication.Thomas J. McKay - 2006 - Oxford, England: Oxford University Press.
Reasoning with Arbitrary Objects.Kit Fine - 1985 - Oxford and New York: Blackwell.

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