Principia Mathematica to *56 (Cambridge Mathematical Library)

In association with Amazon.com

All ProductsApparelAutomotiveBabyBeautyBooksClassical MusicDVDDigital MusicElectronicsGourmet FoodHealth & Personal CareJewelryKitchen & HousewaresMagazinesMiscellaneousMusicMusic TracksMusical InstrumentsOffice ProductsOutdoor LivingPC HardwarePet SuppliesPhotoRestaurantsSoftwareSporting GoodsTools & HardwareToysVHSVideo (DVD & VHS)Video GamesWirelessWireless Accessories

Binding: Paperback
Dewey Decimal Number: 511.3
EAN: 9780521626064
Edition: 2
ISBN: 0521626064
Label: Cambridge University Press
Manufacturer: Cambridge University Press
Number Of Items: 1
Number Of Pages: 460
Publication Date: October 13, 1997
Publisher: Cambridge University Press
Studio: Cambridge University Press

---

Related Items:

• The Principles Of Mathematics
• On Formally Undecidable Propositions of Principia Mathematica and Related Systems
• Introduction to Mathematical Philosophy
• The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number
• Godel's Proof
• see more

Alternate Versions: Click to Display

Browse for similar items by category: Click to Display

---

Editorial Review:

Amazon.com Review:
Could it be true that Whitehead and Russell's Principia Mathematica is the most influential book written in the 20th century? Ask any mathematician or philosopher--or anyone who understands the impact these fields have had on modern thinking--and you'll get a short answer: yes. Their goal, to set mathematics on a firm logical foundation, was revolutionary, and their tools and rigor continue to influence modern professionals. Using Peano's symbolic logic, they formalized axioms and produced theorems (including the famous "1 + 1 = 2") in orderings, continuous functions, and other areas of mathematics.

Although the Principia is far from comprehensive, Whitehead and Russell's method and program captivate their readers. The audacity to hope to formalize all of mathematics logically was inspirational and helped to give great boosts to math and logical philosophy. Though Gödel proved in 1931 that any such program is doomed to incompleteness, the tools found in and developed from the three volumes helped build the atomic bomb and the Internet. It may not be summer vacation reading (for most), but Principia Mathematica will reward the dedicated student with a deeper understanding of how we got here. --Rob Lightner

Product Description:
The great three-volume Principia Mathematica (CUP 1927) is deservedly the most famous work ever written on the foundations of mathematics. Its aim is to deduce all the fundamental propositions of logic and mathematics from a small number of logical premises and primitive ideas, establishing that mathematics is a development of logic. This abridged text of Volume I contains the material that is most relevant to an introductory study of logic and the philosophy of mathematics (more advanced students will of course wish to refer to the complete edition). It contains the whole of the preliminary sections (which present the authors' justification of the philosophical standpoint adopted at the outset of their work); the whole of Part I (in which the logical properties of propositions, propositional functions, classes and relations are established); section A of Part II (dealing with unit classes and couples); and Appendices A and C (which give further developments of the argument on the theory of deduction and truth functions).

Book Description:
The great three-volume Principia Mathematica is deservedly the most famous work ever written on the foundations of mathematics. Its aim is to deduce all the fundamental propositions of logic and mathematics from a small number of logical premisses and primitive ideas, and so to prove that mathematics is a development of logic.This abridged text of Volume I contains the material that is most relevant to an introductory study of logic and the philosophy of mathematics (more advanced students will of course wish to refer to the complete edition).




Rating: - ludicrously quixotic work
I have not read this book. I tried, having been fascinated by logic and mathematics since high school, but it has absolutely nothing to offer most people. in fact I find it hard to believe anyone has ever read this book. The 4 and 5 star reviews on this page should be taken as evidence there are some people out there with very different taste from mine, and I bet yours. In fact I have difficulty believing they are serious.

I think only a fanatic could enjoy reading this book, certainly ... Read More

---

Rating: - A Hallmark in the History of Mathematics and Philosophy.

Much nonsense has been said on the subject of the importance of Principia Mathematica by people ignorant of the history of mathematics and logic. Principia Mathematica together with Frege's Grundgesetze der Arithmetik is the book which gives birth to modern logic. It is absurd to assume that Russell and Whitehead intended their axiomatization of mathematics as a guide to learn the subject, as one reviewer thinks, in fact what they tried to show was that the whole of mathematics could be deduced ... Read More

---

Rating: - Principia
I decided to write a review, because, when reading the existing ones,- I realized their incorrectness. Leaving out the "Customer from Christchurch New Zealand", the rest shows an evident shallowness of mind. The reader "La-la land" utilizes an enormous mass of epithets discrediting Russell and Whitehead, which could be valuable in a form, but instead,- he shows a stupid prejudice that must have learned in his Mathematical-logic "polytechnic" course. I will only refute his last thought( which is the base ... Read More

---

Rating: - If you don't know know this book then you don't need it
Let me try to give a balanced review.

First this is a monumental work and one of the most influential works of the 20th century. I am not giving it five stars: this book earned them. With that said I don't think is the most influential book of the 20th century because such a book doesn't exist. In my opinion that kind of debate is totally misleading.

However the five stars do not suggest that you should buy this book. With the exception of libraries and scholars specializing in Russell ... Read More

---

Rating: - Mostly of historical interest
The notation of PM is hard to read by anyone who learned logic post 1960, say. The typesetting is archaic. Hundreds of theorems are proved, but it is not clear where
they all lead. Russell and Whitehead are guilty of a number of major philosophical confusions, such as use and mention, between meta- and object language, and their confused notion of "propositional function." Their choice of axioms can be much improved upon. The PM theory of types and orders is a complicated horror; Chwistek, Ramsey, and others ... Read More

---