Tumbolia

wonderland

In Douglas Hofstadter’s book ‘Gödel, Escher, Bach,’ Tumbolia is ‘the land of dead hiccups and extinguished light bulbs,’ ‘where dormant software waits for its host hardware to come back up.’ The concept is introduced in the dialogue ‘Little Harmonic Labyrinth’ (based on the piece of the same name by Bach). In a later dialogue ‘A Mu Offering’ (named after Bach’s ‘Musical Offering’), a Tortoise gets rid of a knot in a string by tying a second one, and both disappear to Tumbolia; apparently, this is ‘The Law of Double Nodulation’ (a parody of the law of double negation).

The return of the two knots from Tumbolia prompts the speculation that some ‘layers of Tumbolia’ are more accessible than others. It is mentioned that ‘pushing’ or ‘popping’ potion can be used (drunk by the characters) to navigate up and down the various levels of Tumbolia. Tumbolia is compared to the Zen view of life after death, using the image of a snowflake, a self-contained subsystem of the universe, dissolving into ‘the larger system which once held it.’ Finally, in the book’s last dialogue, Hofstadter (himself appearing as a character) tells us that Tumbolia is where dreamed characters go when the dreamer wakes up.

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