- Paperback: 808 pages
- Publisher: Merchant Books (February 21, 2009)
- Language: English
- ISBN-10: 1603861831
- ISBN-13: 978-1603861830
- Product Dimensions: 7.5 x 1.6 x 9.2 inches
- Shipping Weight: 3 pounds (View shipping rates and policies)
- Average Customer Review: 5.0 out of 5 stars See all reviews (5 customer reviews)
- Amazon Best Sellers Rank: #1,842,193 in Books (See Top 100 in Books)
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Principia Mathematica - Volume Two
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Top Customer Reviews
The table of contents is very clear on where to find everything. This volume covers basic mathematical operations, and limits.
Even if you do not ever have the energy to follow the logic, it is still a worthwhile exercise to read the text. Their discussion's in the text are instructive and definitive.
As far as being a reprint, it is better than most of the reprints and is readable. Figuring out the notation of propositional logic does require the first volume.
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.Read more ›