The Mathematical Infinity

Enrico Bombieri
Institute for Advanced Study
January 31, 2007

VaseThis lecture by Enrico Bombieri, IBM von Neumann Professor in the School of Mathematics, explores how mathematics has arrived at its present pragmatic view of infinity and some of the counterintuitive paradoxes, as well as some of the positive results, deriving from its acceptance. It concludes with a view of how computer science is leading today to a new precise concept, namely the impossibly large in the realm of the finite.