Version of Record online: 27 JUL 2005
Volume 59, Issue 2, pages 265–282, June 2005
How to Cite
Uzquiano, G. (2005), Semantic Nominalism. Dialectica, 59: 265–282. doi: 10.1111/j.1746-8361.2005.01030.x
- Issue online: 27 JUL 2005
- Version of Record online: 27 JUL 2005
The aim of the present paper is twofold. One task is to argue that our use of the numerical vocabulary in theory and applications determines the reference of the numerical terms more precisely than up to isomorphism. In particular our use of the numerical vocabulary in modal and counterfactual contexts of application excludes contingent existents as candidate referents for the numerical terms. The second task is to explore the impact of this conclusion on what I call semantic nominalism, which is the view that ordinary physical objects and other contingent existents are eligible to be the referents of numerical terms. I suggest that for semantic nominalism to have a chance we must reform our usage of the numerical vocabulary in modal and counterfactual contexts. I tentatively explore some ways in which this might be done and call attention to some of their costs.