The Cardinality of the Real Numbers
1. Introduction , The natural numbers are perhaps the most fundamental and intuitive set in mathematics. But they have a strange property: they never end (as some of you may have found out by attempting a “name the biggest number” game in childhood). Of course, these numbers may be extended by various logical arguments: what happens if we subtract a larger number from a smaller one, or divide a number into another number that is not its multiple, or take…