Beyond infinity: an expedition to the outer limits of mathematics

The journey. What is infinity? ; Playing with infinity ; What infinity is not ; Infinity slips away from us Again ; Counting up to infinity ; Some things are more infinite than others ; Counting beyond infinity ; Comparing infinities ; What infinity is

The Sights. Where is infinity? ; Things that are nearly infinity ; Infinite dimensions ; Infinite-dimensional categories ; The infinitesimally small ; When infinity nearly caused mathematics to fall apart (and maybe also your brain) ; Weirdness ; Where infinity is.