Take an Intellectual Odyssey with a Free MIT Course on Douglas Hofstadter’s Pulitzer Prize-Winning Book Gödel, Escher, Bach: An Eternal Golden Braid

In 1979, math­e­mati­cian Kurt Gödel, artist M.C. Esch­er, and com­pos­er J.S. Bach walked into a book title, and you may well know the rest. Dou­glas R. Hof­s­tadter won a Pulitzer Prize for Gödel, Esch­er, Bach: an Eter­nal Gold­en Braid, his first book, thence­forth (and hence­forth) known as GEB. The extra­or­di­nary work is not a trea­tise on math­e­mat­ics, art, or music, but an essay on cog­ni­tion through an explo­ration of all three — and of for­mal sys­tems, recur­sion, self-ref­er­ence, arti­fi­cial intel­li­gence, etc. Its pub­lish­er set­tled on the pithy descrip­tion, “a metaphor­i­cal fugue on minds and machines in the spir­it of Lewis Car­roll.”

GEB attempt­ed to reveal the mind at work; the minds of extra­or­di­nary indi­vid­u­als, for sure, but also all human minds, which behave in sim­i­lar­ly unfath­omable ways. One might also describe the book as oper­at­ing in the spir­it — and the prac­tice — of Her­man Hesse’s Glass Bead Game, a nov­el Hesse wrote in response to the data-dri­ven machi­na­tions of fas­cism and their threat to an intel­lec­tu­al tra­di­tion he held par­tic­u­lar­ly dear. An alter­nate title (and key phrase in the book) Mag­is­ter Ludi, puns on both “game” and “school,” and alludes to the impor­tance of play and free asso­ci­a­tion in the life of the mind.

Hesse’s eso­teric game, writes his biog­ra­ph­er Ralph Freed­man, con­sists of “con­tem­pla­tion, the secrets of the Chi­nese I Ching and West­ern math­e­mat­ics and music” and seems sim­i­lar enough to Hof­s­tadter’s approach and that of the instruc­tors of MIT’s open course, Gödel, Esch­er, Bach: A Men­tal Space Odyssey. Offered through the High School Stud­ies Pro­gram as a non-cred­it enrich­ment course, it promis­es “an intel­lec­tu­al vaca­tion” through “Zen Bud­dhism, Log­ic, Meta­math­e­mat­ics, Com­put­er Sci­ence, Arti­fi­cial Intel­li­gence, Recur­sion, Com­plex Sys­tems, Con­scious­ness, Music and Art.”

Stu­dents will not study direct­ly the work of Gödel, Esch­er, and Bach but rather “find their spir­its aboard our men­tal ship,” the course descrip­tion notes, through con­tem­pla­tions of canons, fugues, strange loops, and tan­gled hier­ar­chies. How do mean­ing and form arise in sys­tems like math and music? What is the rela­tion­ship of fig­ure to ground in art? “Can recur­sion explain cre­ativ­i­ty,” as one of the course notes asks. Hof­s­tadter him­self has pur­sued the ques­tion beyond the entrench­ment of AI research in big data and brute force machine learn­ing. For all his daunt­ing eru­di­tion and chal­leng­ing syn­the­ses, we must remem­ber that he is play­ing a high­ly intel­lec­tu­al game, one that repli­cates his own expe­ri­ence of think­ing.

Hof­s­tadter sug­gests that before we can under­stand intel­li­gence, we must first under­stand cre­ativ­i­ty. It may reveal its secrets in com­par­a­tive analy­ses of the high­est forms of intel­lec­tu­al play, where we see the clever for­mal rules that gov­ern the mind’s oper­a­tions; the blind alleys that explain its fail­ures and lim­i­ta­tions; and the pos­si­bil­i­ty of ever actu­al­ly repro­duc­ing work­ings in a machine. Watch the lec­tures above, grab a copy of Hofstadter’s book, and find course notes, read­ings, and oth­er resources for the fas­ci­nat­ing course Gödel, Esch­er, Bach: A Men­tal Space Odyssey archived here. The course will be added to our list, 1,700 Free Online Cours­es from Top Uni­ver­si­ties.

Relat­ed Con­tent: 

How a Bach Canon Works. Bril­liant.

Math­e­mat­ics Made Vis­i­ble: The Extra­or­di­nary Math­e­mat­i­cal Art of M.C. Esch­er

The Mir­ror­ing Mind: An Espres­so-Fueled Inter­pre­ta­tion of Dou­glas Hofstadter’s Ground­break­ing Ideas

Josh Jones is a writer and musi­cian based in Durham, NC. Fol­low him at @jdmagness