Erdös is famous in mathematical circles for both his genius and his productivity. So much so that a low Erdös Number is a badge of honour amongst mathematicians. If you’ve got an Erdös Number of 1 then you collaborated with him directly; your number if 2 if you’ve collaborated with a collaborator, etc. The collaboration graph data is published if you’re interested. (I’ve been playing with it a bit recently).
The Man Who Loved Only Numbers is an excellent book, apart from the joy of discovery the wonderfully eccentric Erdös, the book covers a lot of interesting mathematical research and discoveries. Cantor’s work on infinite sets is amongst them.
The book provides some glimpses into how mathematical research is carried out, and the enthusiasm that mathematicians have for their subject. I wish I’d read this whilst I was at school, maybe then I’d have had more enthusiasm for the subject
Anyway if you enjoyed Mark’s posting then you’ll enjoy The Man Who Loved Only Numbers. It’s a great book.