Projeto

Genericity and arbitrariness. Or how to speak of the unspeakable

Resumo

The project deals with the interplay of language, logic, and mathematics. The main theme of the project is the study of the expressivity of our language when applied to mathematics concepts. The chosen perspective is that of the notion of arbitrariness, specifically in the context of set theory. The goal of this project is to investigate how modern set theory, by means of the notion of genericity can formalize and capture the notion of arbitrariness. The project is divided in three main sections: historical, philosophical, and logical.