Goedel, Escher, Birthday
So shopping for a present is a bit of a shot in the dark. We could get him a gift certificate, or something suitably generic, like fancy coffee, but I take my gift-giving more seriously, even when it’s a shot in the dark. Generic presents are dull, and pointless, apart from carrying what Dave Barry calls the central message of every gift: “Look! I got you a gift!”
If a gift is to be interesting enough to be worth anyone’s time, it has to be unpredictable. Ideally, it will be something the recipient wants but would never get for himself. That means the giver must take chances. And, naturally, risks don’t always pay off; that’s why they’re called risks. That’s okay. I’m willing to take the occasional miss, or even frequent misses, in exchange for the real payoff: something I’d never have thought to buy for myself. All the rest are lost to the mists of time and fading memory—in the final analysis, worthless.
My odds would be better, of course, if I knew Mark better, but it’s a little late for that. So I must rely on something I really enjoyed myself and hope he will enjoy, too. I finally settled on a treasured book, Douglas Hofstadter’s Gödel, Escher, Bach. It’s a heavy tome, literally and figuratively, which began as an illustration of Gödel’s incompleteness theorem, but which grew into a magnum opus on self-reference in art, mathematics, philosophy, and more, laced with some of the cleverest wordplay you’ll ever find. Hofstadter introduces concepts through dialogues between Achilles and the Tortoise, from one of Zeno’s infamous paradoxes, and structures the dialogues to demonstrate the very phenomena the characters discuss. One dialogue is a sentence palindrome, in which the sentences say something coherent but entirely different when read in reverse order. Another dialogue is structured in the manner of a six-part fugue. Another officially ends before the text ends, leaving it to the reader to figure out where the story stops.
Sandwiched between is some very dense epistemology, symbolic logic, algebraic logic, surrealist art commentary, combinatorics, set theory, Cantorian set theory, intelligence theory, and deliberate nonsense in the vein of Lewis Carroll. It’s a difficult but rewarding read, and can leave people cold. I figure it’s worth the risk because Mark is mathematically sophisticated enough to edit a math text, and is considering a master’s. He’ll understand it. Whether he finds it entertaining is another matter, but that’s where the chance of a truly pleasurable surprise lies, so I’m going for it.