As I said in my review of Volume One of this reproduction by Merchant Books, the Principia Mathematica is a towering classic in the history of mathematical foundations. Volume Two of this Merchant Books reproduction is at the same high standard of printing quality and binding.
Volume 2 contains the second half of the presentation of the theory of cardinal numbers, followed by the theory of relations, and the first half of the treatment of series which is continued in Volume Three.
It is Volume 2 which made me realise that I really needed to get my own copy of the Principia Mathematica for my investigation of the axiom of choice. (This wasn't original research. I was just trying to make sense of the countable axiom of choice for some applications in the topology of sequential compactness.) The particular topic of interest to me was "mediate cardinals", a term which has its origin in Volume 2 on page 288. These are essentially sets which are not finite, but do not have a subset which can be brought into a bijective relation with the set of integers. It was only in 1963 that Cohen proved that the existence of such mediate cardinals cannot be excluded within Zermelo-Fraenkel set theory.
Anyone who finds the Whitehead/Russell Principia Mathematica too difficult to read could try the Rosser book "Logic for Mathematicians", which covers much of the same material, in much the same order, in a more modern and more digestible form. But most mathematical logic and set theory books of the 20th century refer to this monumental Whitehead/Russell 3-volume series. So it's a good idea to have a copy handy for reference.
We bought the three volume set of Principia Mathematica for the math genius son of one of our closest friends as a college graduation gift. After all, what do I know about gifts for math genius's. Apparently it was a very impressive gift and the WOW effect was achieved. The books arrived in truly "like new" condition (I think they were) and in the prescribed delivery time. What more can you ask for. Five star performance without reservation.
I bought this as a gift for my husband who has wanted this set for a long time and we were both surprised and thrilled with the quality. I was worried when other reviewers has stated that the print was somewhat smudged or looked scanned. However, at least in our set, we did not experience this. Well worth the price!