subscribe or login to access all content.

Users without a subscription are not able to see the full content.

The philosophy of mathematics articulated and defended in this book goes by the name of “structuralism”, and its slogan is that mathematics is the science of structure. The subject matter of arithmetic, for example, is the natural number structure, the pattern common to any countably infinite system of objects with a distinguished initial object and a successor relation that satisfies the induction principle. The essence of each natural number is its relation to the other natural numbers. One way to understand structuralism is to reify structures as ante rem universals. This would be a platoni ... More

*Keywords: *
ante rem,
mathematics,
modality,
ontology,
philosophy of mathematics,
Platonism,
realism,
reference,
reification,
structuralism,
universal

Print publication date: 2000 | Print ISBN-13: 9780195139303 |

Published to Oxford Scholarship Online: November 2003 | DOI:10.1093/0195139305.001.0001 |

Show Summary Details
## Front Matter

## Part I Perspective

## Part II Structuralism

## Part III Ramifications and Applications

## End Matter

subscribe or login to access all content.