Ontology in Mathematics

• Hamid Vahid (School of Analytic Philosophy,IPM)

The purpose of this talk is to provide an overview of some of the epistemological and metaphysical questions that are brought up in relation to mathematical thought and mathematical truth. These concerns encompass, among other things, the nature of abstract objects such as sets and numbers, some of the well-known arguments for their existence as well as the philosophical problems that their existence incurs. There will also be some brief discussions of certain anti-realist approaches to mathematical ontology.