Owain Griffin
The Ohio State University
Department of Philosophy
Title
Uniqueness and determinacy results in intuitionistic mathematics
Abstract
In this talk I will briefly introduce and motivate some of the main distinguishing features of intuitionistic mathematics. I will then show that by adopting this style of reasoning one is led to a number of interesting results which diverge significantly from more familiar classical theorems. Chief among these, I will discuss a model-theoretic result due to McCarty (1988) demonstrating that intuitionistic ('Heyting') Arithmetic is categorical at first-order. If there is time, I will comment on the significance I take this result to have for philosophers.