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Let me provide a bit more information, including recent developments, on Gödel Without (Too Many) Tears (GWT), instead of having the entire comment thread about
by dmunoz 13y ago
Let me provide a bit more information, including recent developments, on Gödel Without (Too Many) Tears (GWT), instead of having the entire comment thread about Gödel, Escher, Bach (a book for which Hofstadter had to write a second book, I Am a Strange Loop, to ground).
The author, Peter Smith. has a wonderful blog on topics in Logic at [0]. He is planning on releasing a series of posts that will become GWT2, but his most recent post [1] explain why this has been delayed. He is also the author of a textbook on Introduction to Gödel’s Theorems [2], of which GWT is a compression. A second edition of Introduction to Gödel’s Theorems was recently released. He also has a fantastic resource, Teach Yourself Logic Guide [3], which is a collection of pointers of resources to teach yourself properly mathematical logic. He has plenty of other helpful resources that I won't directly point out, except to look under the heading Explore all this site on the front of his blog, along with the individual posts of course.
[0] http://www.logicmatters.net/blogfront/ http://www.logicmatters.net/blogfront/
[1] http://www.logicmatters.net/2013/09/gwt-and-tyl-on-hold/ http://www.logicmatters.net/2013/09/gwt-and-tyl-on-hold/
[2] http://www.logicmatters.net/igt/ http://www.logicmatters.net/igt/
[3] http://www.logicmatters.net/2013/08/tyl-17-the-teach-yourself-logic-guide-updated/ http://www.logicmatters.net/2013/08/tyl-17-the-teach-yoursel...
- kriro 13y agoThanks. This looks like some interesting reading material. I have included an untitled chapter that is a mixed bag of philosophical issues etc. in my AI lecture (as a follow up to the chapters on propositional calculus and first order logic) and am always on the lookout for simpler ways to explain things. Currently it's Kantor->Gödel(+ some historical background on Hilbert program/Principia etc.)->Turing(halting problem as it relates to the incompleteness theorems)->Cohen on the math front (+Chaitin numbers and some other random ideas)
- mbubb 13y agoThis is a great blog. I was looking for a github link - this stuff would be good as book/classes on there. He is a fine writer. Would love to take his TYL class