Earlier quoted context omitted.
I just finished reading Godel's Proof (a non-textbook account of the proof recommended by Hofstader in GEB) and it was mind-blowing. I really recommend that and David Foster Wallace's Beyond Infinity. Beyond Infinity is great history of set theory and written in an exciting and fun style. I came across the ideas the opposite way...I loved math as child and as engineer but I always felt like systems of rationalization…
The book by DFW sounds interesting, but all I could find is "Everything and More: A Compact History of Infinity". Is that it?
Sorry yea, I misremembered the title when I was commenting.