Review of Gödel, Escher, Bach (Golden Eternal Braid) by Douglas Hofstadter.
This is an intellectual tour de force, a sweet confection of themes. Ultimately though it disappoints; he attempts to bind his thematic threads into a tightly structured fugue or rope, but achieves only candyfloss. As the title suggests, the writing pans across mathematics, the arts and music. On the way it takes in logic, philosophy, Zen Buddhism, linguistics and artificial intelligence. Indeed so extensive and brilliant are the references and insights that one suspects a touch of narcissism on the author’s part. He is certainly clever, and as a survey of thought this book is a must-read, however his final conclusions are just plain inconsistent.
One fundamental premise is that our material world is constructed around paradox and infinitely self-referential loops. The “Gödel” of the title is Kurt Gödel, a mathematician who proved that our knowledge must always be incomplete. We can not know all things. But, the link from that “voice” to the Escher and Bach of the title is not clearly formed. Rather these are separate themes which Hofstadter weaves into his “Golden Eternal Braid”, rather than inversions of the same theme which forms a satisfying fugue. The Escher leitmotif – that perception cannot be trusted, is illustrated by the manipulation of self-referential loops. Bach is recruited as a master of fugue, where the theme is woven together in different voices to create a new experience. In other words from individual threads he creates new – emergeant – reality. An epiphenomenon.
Though not appearing in the title, the concepts of Zen Buddhism are woven into the braid – pointing up the essential duality of existence and encouraging us to UN-think as a route to perception and integration. (see Karl Jung).
So in summary, Hofstadter’s braid is shaped from:
Gödel, all knowledge must be incomplete – definitively.
Escher, reality is not what it seems and comprises an infinity of self-referential loops.
Bach, threads are woven to create an epiphenomenon; whose sum is qualitatively different from its parts.
Given these premises he nevertheless concludes “I have no doubt that a totally reductionist.. explanation of the brain exists” (and he equates brain with mind and consciousness).
With all of these fascinating themes, the false logic of this eventual conclusion shocks. His statement is a axiom or belief, but is presented as a theorem (he has this in common with Dawkins and many other materialists). Having established that the great thinkers in different disciplines have all demonstrated a fundamental limit to our ability to know via thinking, he then goes on to state that he has “no doubt” that we will eventually completely understand the mind and consciousness in terms of materialist reductionism.
He would have been wiser to end with these, his own, words:
“By the way, in passing, it is interesting to note that all results essentially dependent on the fusion of subject and object have been limitative results. In addition to the limitative Theorums [eg Gödel’s Incompleteness Theorum], there is Heisenberg’s uncertainty principle, which says that measuring one quantity renders impossible the simultaneous measurement of a related quantity. I don’t know why all these results are limitative. Make of it what you will.”
For a truly penetrating (and consistent) philosophy of the link between mathematics and reality I would urge you to turn to Alfred North Whitehead – Process and Reality.