Best Books of the Month Shop Costumes Learn more nav_sap_plcc_6M_fly_beacon $5 Albums All-New Fire TV Stick with Voice Remote Subscribe & Save Introducing Handmade New Kitchen Scale from AmazonBasics Amazon Gift Card Offer hog hog hog  Amazon Echo Starting at $49.99 Kindle Voyage  McCartney Fall Arrivals in Amazon Outdoor Clothing STEM Toys & Games

Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.

  • Apple
  • Android
  • Windows Phone
  • Android

To get the free app, enter your email address or mobile phone number.

Triangle of Thought

3 customer reviews
ISBN-13: 978-0821826140
ISBN-10: 082182614X
Why is ISBN important?
This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The 13-digit and 10-digit formats both work.
Scan an ISBN with your phone
Use the Amazon App to scan ISBNs and compare prices.
Have one to sell? Sell on Amazon
Buy used
Buy new
More Buying Choices
19 New from $32.13 13 Used from $22.99
Free Two-Day Shipping for College Students with Amazon Student Free%20Two-Day%20Shipping%20for%20College%20Students%20with%20Amazon%20Student

Save Up to 90% on Textbooks Textbooks
$38.00 FREE Shipping. Only 1 left in stock (more on the way). Ships from and sold by Gift-wrap available.

Frequently Bought Together

  • Triangle of Thought
  • +
  • Conversations on Mind, Matter, and Mathematics
Total price: $72.95
Buy the selected items together

Editorial Reviews

About the Author

Alain Connes, College de France, Paris, France,


Best Books of the Month
Best Books of the Month
Want to know our Editors' picks for the best books of the month? Browse Best Books of the Month, featuring our favorite new books in more than a dozen categories.

Product Details

  • Hardcover: 179 pages
  • Publisher: Amer Mathematical Society (January 1, 2001)
  • Language: English
  • ISBN-10: 082182614X
  • ISBN-13: 978-0821826140
  • Product Dimensions: 0.5 x 6 x 9 inches
  • Shipping Weight: 12.8 ounces (View shipping rates and policies)
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #166,318 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

5 star
4 star
3 star
2 star
1 star
See all 3 customer reviews
Share your thoughts with other customers

Most Helpful Customer Reviews

10 of 11 people found the following review helpful By Jaume Puigbo Vila on February 10, 2008
Format: Hardcover Verified Purchase
The goal of this book is "to enable a broad but enlightened audience to bridge the growing gap between the subtleties of these advances (meaning quantum mechanics, relativity and Gödel's theorem), usually accessible only to specialists, and the often unbelievably deformed images of them presented by popularized accounts".

I must disagree. Although the reader will attend an interesting dialogue between some of the top minds of the XXth century and Alain Connes is one of the greatest living mathematicians, it is difficult to follow a great part of this conversation if you are not familiar with advanced mathematics and physics. The publisher could have made the reading easier by including a lot of sidebars as Scientific American does. On the other hand I have read quite a number of books by very good scientists on the topics mentioned (therefore they could not be deformed images) and these books are much more accessible than "Triangle of Thoughts". If you have read the other Connes co-authored book, "Conversations on Mind, Matter and Mathematics", the level of accessibility of this one is similar.

That said, the book is worth reading and there are sections which are quite readable like that on Cosmology, on game theory or even on Gödel's theorem. Alain Connes introduces a distinction between primordial mathematics and axiomatic mathematics which he considers an (limited) instrument of comprehension at our disposal. Gödel affirms that any sufficiently rich axiomatic system contains truths that are not provable and it has the curious consequence that you can add a countertruth to an axiomatic system which will be free of contradiction if the former system was non contradictory.

That the book needs some editing is clear.
Read more ›
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
Format: Hardcover Verified Purchase
This is now one of the few printed books that I keep in my shelf (I am now a Kindle-converted reader, which I though I would never be).

I have read this book at least three times. Not because it is hard to understand, but for the depth of thinking that characterizes the book. There are no equations here, just profound thoughts that keep you interested all the time, like in the most intriguing novel.

I have often wondered, like countless others, about the "unreasonable" power of mathematics. My field is human interaction processes (social psychology) and I have found that many mathematical structures (functions, abstract spaces, group symmetry) often shed a bright light into the complexity of human interaction. I remember a talk I gave at Los Alamos National Laboratory, where one of the mathematicians there told me: "your are dealing with the 8-body problem" referring to the number of the team members I often worked with. If it weren't for mathematics, these almost intractable problems could not be even approached successfully.

Herein lies my unending interest in Triangle of Thoughts. This book in conjunction with Changeux and Connes's Conversatons on Mind, Matter and Mathematics, should be mandatory reading for graduate students in social psychology who might want to venture into the very reasonable power of mathematics to unveil the dark corners of human interaction where many unexpected findings await them.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
By Kevin Roberge on December 30, 2013
Format: Hardcover
This sort of casual conversation that wanders across these three passions of mine: physics, philosophy and mathematics, is rare. As you read these great minds jump all over deep topics and the history of their development. The conversation is inspiring for its depth and breadth and I recommend reading this along with your cup of coffee. To appreciate all the references, at least in passing, it would be helpful to have some graduate work in physics or mathematics coupled with a broad interests. The layperson is likely to find many references that are unfamiliar to them. However you can gloss over those passages or pause and do a little background research in the meantime before returning to the passage. This is just another example of why Alain Connes is one of my new mathematical heroes.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again

Set up an Amazon Giveaway

Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more
Triangle of Thought
This item: Triangle of Thought
Price: $38.00
Ships from and sold by

What Other Items Do Customers Buy After Viewing This Item?

Want to discover more products? Check out this page to see more: science books