 Trade In this Item for up to £26.10
Get an extra £5 when you trade in books worth £10 or more until June 30, 2012. Trade in Gödel's Incompleteness Theorems (Oxford Logic Guides) for an Amazon.co.uk gift card of up to £26.10, which you can then spend on millions of items across the site. Trade-in values may vary (terms apply). Find more products eligible for trade-in.
|
Frequently Bought Together
Product details
|
More About the Author
Product Description
Product Description
Tags Customers Associate with This Product(What's this?)Click on a tag to find related items, discussions, and people.
|
Sell a Digital Version of This Book in the Kindle Store
What Other Items Do Customers Buy After Viewing This Item?
Customer Reviews
This title is a difficult read but the only prerequisite is a familiarity of first-order logic equivalent to a one semester college course.
A lot of the proofs are based on new material and are easier to understand than the original work by KG.
An added benefit is the exercises. They are not impossible and aid in one's understanding.
This book is well worth the work in demands.
xPy iff There is z not greater than y (zBy and xEz). Similar mistakes can be found elsewhere. And this book thus requires another edition for the coorection of typos and mistakes.
The book has much of interest to those who wish to pursue the subject of the incompleteness and/or consistency of mathematics, or to come at Goedel from a number of angles. For me, though, the first 3 chapters were enough. I just wanted to find out how K.G. did what he did. Now I know, and I know where to go if I need even more.
The exercises are helpful to keep you on track and test your understanding. They also contribute materially to the exposition. A stumbling-block for many readers will be the extremely abstract nature of the discussion, and the new notations and definitions that constantly come at one. Viewing numbers as strings and strings as numbers (and knowing when to switch from one view to another) will be confusing at first. This is the hard part: what Goedel did, in essence, is demonstrate that one can view proofs in two ways as numbers, and as strings of characters. As in viewing an optical illusion, it is sometimes tough to hold the proper picture in mind.
Smullyans book First-Order Logic is enough preparation for this work. One must here, even more than there, keep straight the difference between the proofs that are part of the subject matter (and so are strings of characters), and the proofs we go through that verify facts about these strings. Before we started reading this book, of course, we had some informal sense that we were going to prove something about proofs. What we are REALLY doing, though, is proving something about proofs. You get the picture. Goedel must have been a lot of fun at parties.
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
Listmania!
Look for similar items by category
Look for similar items by subject
Feedback
- Would you like to update product info or give feedback on images?
- I am the Author, and I want to comment on my book.
- I am the Publisher, and I want to comment on this book.
|
