metamagical themas

It turns out that an eerie type of chaos can lurk just behind a facade of order - and yet, deep inside the chaos lurks an even eerier type of order
—  Douglas R. Hofstadter, Metamagical Themas: Questing for the Essence of Mind and Pattern.

pseudo-random highlights:

D. Sornette, Why Stock Markets Crash

S. Kauffman, The Origins of Order

D. Hofstadter, Metamagical Themas

C. Jung, Complete Works

V. Woolf, The Waves

R. Gibson, Deus ex Machina

E. Puts, Leica Compendium

Sacramentum Mundi, an Encyclopedia of Theology

S. Kierkegaard, Works of Love

M. Scheler, Ordo Amoris

And dare one wonder, with the bassoon of lunacy so shrilly betoning the ruined fiddles of flatulism, how it is that doublethink, narcolepsy, and poseurism are unthreading themselves across our land like tall, statuesque, half-uneaten yet virtuous whippoorwhills? Can it be that a cornflake-catechism has beguiled us into an unsworn acceptance of never-takism?
—  Y. Serm Clacoxia, from The Illusions of Alacrity

It is no accident, I would maintain, that quantum mechanics is so wildly counterintuitive. Part of the nature of explanation is that it must eventually hit some point where further probing only increases opacity rather than decreasing it. Consider the problem of understanding the nature of solids. You might wonder where solidity comes form. What if someone said to you, “The ultimate basis of this brick’s solidity is that it is composed of a stupendous number of eensy weensy bricklike objects that themselves are rock-solid”? You might be interested to learn that bricks are composed of micro-bricks, but the initial question - “What accounts for solidity?” - has been thoroughly begged. What we ultimately want is for solidity to vanish, to dissolve, to disintegrate into some totally different kind of phenomenon with which we have no experience. Only then, when we have reached some completely novel, alien level will we feel that we have really made progress in explaining the top-level phenomenon.


I first saw this thought expressed in the stimulating book Patterns of Discovery by Norwood Russell Hanson. Hanson attributes it to a number of thinkers, such as Isaac Newton, who wrote, in his famous work Opticks: “The parts of all homogeneal hard Bodies which fully touch one another, stick together very strongly. And for explaining how this may be, some have invented hooked Atoms, which is begging the Question.” Hanson also quotes James Clerk Maxwell (from an article entitled “Atom”): “We may indeed suppose the atom elastic, but this is to endow it with the very property for the explanation of which… the atomic constitution was originally assumed.” Finally, here is a quote Hanson provides from Werner Heisenberg himself: “If atoms are really to explain the origin of color and smell of visible material bodies, then they cannot possess properties like color and smell.” So, although it is not an original thought, it is useful to bear in mind that greenness disintegrates.

—  Douglas Hofstadter, Metamagical Themas