Platonism, Metaphor, and Mathematics
Dialogue 43 (1):47-66 (
2004)
Copy
BIBTEX
Abstract
Contemporary analytic philosophy recognizes few principled constraints on its subject matter. When other disciplines also lay claim to a particular topic, however, important questions arise concerning the relation between these other disciplines and philosophy. A case in point is mathematics: traditional philosophy of mathematics defines a set of problems and certain general answers to those problems. However, mathematics is a subject matter that can be studied in many other ways: historically, sociologically, or even aesthetically, for example. Given this, we may ask what implications discoveries in these disciplines have for the philosophy of mathematics.