Book 2 for 2025! My goal is 30 this year. This is actually a book I read years ago but it was time for a reread to try to better understand the subject.
I honestly wish more people would explore mathematics and not avoid it as much as possible, because it is a stunningly beautiful subject. Even if one does not have the time or inclination to master it, there are many mind-boggling mathematical subjects that can be at least roughly understood by a dedicated layperson with the right information in front of them. The mathematics of infinity, for example, is something I’ve blogged about in the past and it is just fascinating and some of the most important proofs related to it require no higher math at all to gain an understanding of.
One topic I’ve always been fascinated with is the incompleteness theorems of Kurt Gödel, first published in 1931. The actual paper is quite involved to read and understand, and requires a lot of background context to properly understand what Gödel accomplished. Fortunately, there is a book out there that makes a valiant effort to explain it in non-technical terms: Gödel’s Proof, written by Ernest Nagel and James R. Newman and first published in 1958. I have a copy of the NY University Press edition of 1986:
It is a slim book: 102 pages in my edition, not counting appendices and the index. It leads the reader through a brief history of 19th and early 20th century mathematics to appreciate what Gödel proved in his paper, which shook the foundations of mathematics.
Continue reading










