What does it mean for something to be infinite? Not just that there is a lot of it. Not just that it has no limit. The concept of infinity as worked out by mathematicians like Georg Cantor in the 19th century is far stranger than that. Indeed, it was so strange that Cantor ended up in a mental asylum and other mathematicians denied that it could be real. This talk will certainly stretch your mind to and beyond its boundaries as we examine a topic of infinite fascination.