, Volume 74, Issue 3, pp 425-428
Date: 27 Feb 2011

David Bostock: Philosophy of Mathematics: An Introduction

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access
This is an excerpt from the content

David Bostock has provided a new introductory textbook on the philosophy of mathematics. His intended audience are “those who have already encountered a little philosophy” and “those studying mathematics who would like an outsider’s view of their subject” (p. viii). Bostock assumes his readers have at least elementary background knowledge of formal logic, and indeed nothing more is required in order to follow the book. The nine chapters of the book deal with: Plato and Aristotle; the developments in medieval and modern philosophy, with an emphasis on Kant; Mill, read as a reaction to Kant; some crucial historical developments in mathematics and its foundational studies; the indispensable discussion of the “big three” foundational theories from the first half of the 20th century (each with its own chapter in the book): logicism, formalism and intuitionism (including an elementary exposition of the principles of intuitionistic logic). As a textbook of 2009 should, the book does not stop