I Am In a Strange Loop
I inherited a copy of Douglas Hofstadter's book, Godel, Escher, Bach: an Eternal Golden Braid, when I started working at NJIT in 2000. It was my lunch reading. I read it in almost daily spurts. I often had to reread because it is not light reading.
I had not finished the book when I left NJIT, and it went on a shelf at home. This past summer I was trying to thin out my too-many books and I came upon it again with its bookmark glowering at me from just past the halfway point of the book. So, I went back to reading it. Still, tough going, though very interesting.
I remembered writing a post here about the book (it turned out to be from 2007) when I came upon a new book by Hofstadter titled I Am a Strange Loop. That "strange loop" was something he originally proposed in the 1979 book.
The earlier book is a meditation on human thought and creativity. It mixes the music of Bach, the artwork of Escher, and the mathematics of Gödel. In the late 1970s, when he was writing, interest in computers was high, and artificial intelligence (AI) was still more of an idea than a reality. Reading Godel, Escher, Bach exposed me to some abstruse math (like undecidability, recursion, and those strange loops) but (here's where Lewis Carroll's "What the Tortoise Said to Achilles" gets referenced though some of you will say it's really a Socratic dialogue as in Xeno's fable, Achilles and the Tortoise) each chapter has a dialogue between the Tortoise and Achilles and other characters to dramatize concepts. Allusions to Bach's music and Escher's art (that loves paradox) are used, as well as other mathematicians, artists, and thinkers. Godel's Incompleteness Theorem serves as his example of describing the unique properties of minds.
From what I read about the author, he was disappointed with how Godel, Escher, Bach (GEB) was received. It certainly got good reviews - and a Pulitzer Prize - but he felt that readers and reviewers missed what he saw as the central theme. I have an older edition, but in a newer edition, he added that the theme was "a very personal attempt to say how it is that animate beings can come out of inanimate matter. What is a self, and how can a self come out of stuff that is as selfless as a stone or a puddle?" I Am a Strange Loop focuses on that theme. In both books, he addresses "self-referential systems." (see link at bottom)
The image at the top of this essay is The Treachery of Images by René Magritte. It says that "This is not a pipe." That is a strange loop.
One thing that stuck with me from my first attempt at GEB is his using "meta" and defining it as meaning "about." Some people might say that it means "containing." Back in the early part of this century, I thought about that when I first began using Moodle as a learning management system. When you set up a new course in Moodle (and in other LMSs since then), it asks if this is a "metacourse." In Moodle, that means that it is a course that "automatically enrolls participants from other 'child' courses." Metacourses (AKA "master courses") feature all or part of the same content but customized to the enrollments of other sections.
This was a feature used in big courses like English or Chemistry 101. In my courses, I thought more about having things like meta-discussions or discussions about discussions. My metacourse might be a course about the course. Quite self-referential.
I suppose it can get loopy when you start saying that if we have a course x, the metacourse X could be a course to talk about course x but would not include course x within itself. Though I suppose that it could.
Have I lost you?
Certainly, metatags are quite common on web pages, photos, and for cataloging, categorizing and characterizing content objects. Each post on Serendipity35 is tagged with one or more categories and a string of keyword tags that help readers find similar content and help search engines make the post searchable.
His examples of "strange loops" include M.C. Escher's piece, "Drawing Hands," which shows two hands drawing each other, and the sentence, "I am lying."
Hofstadter gets spiritual in his further thinking, and he finds at the core of each person a soul. He feels the "soul is an abstract pattern." Because he felt the soul is strong in mammals (weaker in insects), it brought him to vegetarianism.
He was considered to be an AI researcher, but he now thought of himself as a cognitive scientist.
Reconsidering GED, he decides that another mistake in that book's approach may have been not seeing that the human mind and smarter machines are fundamentally different. He has less of an interest in computers and claims that he always thought that his writing would "resonate with people who love literature, art, and music" more than the tech people.
If it has taken me much longer to finish Godel, Escher, Bach than it should, that makes sense if we follow the strange loop of Hofstadter's Law. ("It always takes longer than you expect, even when you take into account Hofstadter's Law.)
End Note:
A self-referential situation is one in which the forecasts made by the human agents involved serve to create the world they are trying to forecast. http://epress.anu.edu.au/cs/mobile_devices/ch04s03.html. Social systems are self-referential systems based on meaningful communication. http://www.n4bz.org/gst/gst12.htm.
