141 Park Hall, November 21, 4:00pm – 6:30pm
Institutionalizing Ante Rem Structuralism
Ante rem structuralism has been the focus of intense debate in the last twenty years and is subject to numerous challenges. Some of the greatest and most widely recognized challenges relate to what structures are, how ante rem structuralism differs from traditional platonism, whether ante rem structuralism can cope with structures that have nontrivial automorphisms, and whether places from distinct mathematical structures can be identified. I argue that the best way to respond to these challenges is to give up on realism and instead maintain that mathematical structures are institutional entities. I demonstrate that an institutional perspective on ante rem structuralism not only clarifies the metaphysics of mathematical structures but provides natural responses to all of the aforementioned challenges.