A Realist Philosophy of Mathematics
- Authors: OLIVERI, G
- Publication year: 2007
- Type: Monografia
- Key words: Realism, Philosophy of mathematics, mathematics as a science of patterns, mathematical structures
- OA Link: http://hdl.handle.net/10447/22996
Abstract
The realism/anti-realism debate is one of the traditional central themes in the philosophy of mathematics. The controversies about the existence of the irrational numbers, the complex numbers, the infinitesimals, etc. will be familiar to all who are acquainted with the history of mathematics. This book aims mainly at presenting and defending a non-Platonist form of mathematical structural realism which, in the respect of the history of mathematics, harmonizes with a plausible epistemology that naturally arises from it.