Gödel, Escher, Bach: an Eternal Golden Braid by Douglad Hofstadter (1979)

This book is beautiful. It explores Gödel’s ideas coherently and accurately and picks out why they’re interesting without resorting to too many clumsy metaphors, and picks out the satisfying parallels in ideas in his work, music composed by Bach, and the visual art of Escher, knitting them together so that each strand complements the other. You can get a nice taste of it in this unfinished review:

http://lesswrong.com/lw/8n7/a_discarded_review_of_godel_escher_bach_an/

But really, I’d just suggest reading the thing. It’s too massive, and intricate, to effectively summarise.

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