Principia Mathematica by Bertrand WHITEHEAD, Alfred North & RUSSELL (PDF)

Description

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

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I finally purchased my own personal hardcover set of this classic from the 1960 printing. Though I found reading it hard going upon my first engagement with the volumes that were owned by my college library back in 1969, thanks to the leisure afforded me in retirement I am now quite delighted to follow the clarity of the reasoning embedded in the symbolism. It is well worth the effort. I think it is important to keep in mind that the symbolic language employed by Whitehead and Russell here enabled Kurt Godel to later go on to demonstrate his incompleteness theorem. It is truly a seminal work for the study of both mathematics and philosophy of logic.

⭐I thought that this was a great value, based on my belief that it was all 3 volumes; however, it is Volume 3, although the online listing does not mention this. I plan to slog through the entire work as best as possible, but I certainly intend to start with Volume 1!

⭐Challenge, Hahahahahah, yes, a challenge.

⭐Overall book is alright, but why does the paperback version only contain volume 3?

⭐Meets expectations

⭐As others have said…how can you even read this?

⭐This is an extreamly good book with more information than you could poke a stick at. I got left behind a few times and had to re-read a chapter, but as long as you love ADVANCED math and like to think logicaly, this book is for you. It goes into many areas of math in general as well as dozens of spacific areas and provides more than enough information. It is a very “deep” book and can sometimes be a bit diffucult to understand, and i recoment this book to people who love deep, deep thought. It is not for everybody, in fact it is probibly for very few, but thouse who read and understand it, will come to love and value it…

⭐This is a terse review, but quite literally this is the greatest achievement of twentieth century logic and mathematics. Only reading it can compel one to understand it.

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