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Philosophia Mathematica Advance Access originally published online on April 23, 2008
Philosophia Mathematica 2008 16(3):409-420; doi:10.1093/philmat/nkn012
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©The Author [2008]. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Book Review

GIANLUIGI OLIVERI. A Realist Philosophy of Mathematics. Texts in Philosophy; 6

Julian C. Cole*

* Department of History and Philosophy, University of Texas—Pan American, Edinburg, Texas 78539, U.S.A. jcole@utpa.edu

London: College Publications, 2007. ISBN 978-1-904987-40-6. Pp. xii + 276.{dagger}

The first 150 words of the full text of this article appear below.


   1. General Remarks
 
1.1 Context
In the period following the demise of logicism, formalism, and intuitionism, contributors to the philosophy of mathematics have been divided. On the one hand, there are those who tend to focus on such issues as: Do mathematical entities exist? If so, what type of entities are they and how do we know about them? If not, how can we account for the role that mathematics plays in our everyday and scientific lives? Contributors to this school—let us call it the analytic school—do not, on the whole, concern themselves with careful analyses of important historical developments in mathematics. On the other hand, there are those who contribute to an historical school in the philosophy of mathematics. Contributors to this school tend to concern themselves almost exclusively with detailed historical analyses of important developments in mathematics. They are typically interested in answering questions concerning the growth of mathematical knowledge.

In recent years, . . . [Full Text of this Article]

1.2 Noteworthy Contributions
1.3 Shortcomings
1.4 Unfortunate Realities

   2. Some Specific Remarks on Aspects
 
2.1 Aspects
2.2 The Metaphysics of Aspects

   3. Conclusion
 

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