AUC Logic Lectures: Yurii Khomskii on the Logic of Infinity
Since ancient times, philosophers have struggled to make sense of the concept of "infinity". Famous paradoxes, such as Zeno's paradox, Galileo's paradox and Hilbert's hotel, have been considered by philosophers in order to underline the counter intuitive nature of infinity. In this lecture, we shall look at some of these paradoxes from a modern mathematical perspective, with a particular emphasis on the role that predicate logic plays in the formalisation of infinite principles.
Yurii Khomskii is a postdoctoral researcher at the University of Hamburg, currently holding the Marie-Curie fellowship of the European Union. He obtained his PhD at the University of Amsterdam under supervision of Benedikt Löwe and Jörg Brendle, and spent three years as a researcher at the Kurt Gödel Research Center in Vienna, Austria, before moving to Hamburg. His research interests are in mathematical logic and set theory, and more specifically foundational questions surrounding the concept of the real number continuum in mathematics. You can view more about Yurii Khomskii here.
Amsterdam University College
Science Park 113
1098 GX Amsterdam