The lap game peaked in popularity a decade ago. It is a spectacular
outdoor game that advertises the power of cooperation. The facilitator
of the lap game takes a group of 25 or more people and has them stand
fairly close together in a circle, so that each participant is staring
at the back of the head of the person in front of him. Just picture a
queue of people waiting in line for a movie and connect them in a tidy
circle.
At the facilitator's command this circle of people bend their knees and
sit on the spontaneously generated knee-lap of the person behind them.
If done in unison, the ring of people lowering to sit are suddenly
propped up on a self-supporting collective chair. If one person misses
the lap behind him, the whole circling line crashes. The world's record
for a stable lap game is several hundred people.
Auto-catalytic sets and the selfish Uroborus snake circle are much like
lap games. Compound (or function) A makes compound (or function) B with
the aid of compound (or function) C. But C itself is produced by A and
D. And D is generated by E and C, and so on. Without the others none can
be. Another way of saying this is to state that the only way for a
particular compound or function to survive in the long run is for it to
be a product of another compound or function. In this circular world all
causes are results, just as all knees are laps. Contrary to common
sense, all existences depend on the consensual existence of all others.
As the reality of the lap game proves, however, circular causality is
not impossible. Tautology can hold up 200 pounds of flesh. It's real.
Tautology is, in fact, an essential ingredient of stable systems.
Cognitive philosopher Douglas Hofstadter calls these paradoxical
circuits "Strange Loops." As examples, Hofstadter points to the
seemingly ever rising notes in a Bach canon, or the endlessly rising
steps in an Escher staircase. He also includes as Strange Loops the
famous paradox about Cretan liars who say they never lie, and Gödel's
proof of unprovable mathematical axioms. Hofstadter writes in Gödel,
Escher, Bach: "The 'Strange Loop' phenomenon occurs whenever, by moving
upwards (or downwards) through the levels of some hierarchical system,
we unexpectedly find ourselves right back where we started."
Life and evolution entail the necessary strange loop of circular
causality -- of being tautological at a fundamental level. You can't get
life and open-ended evolution unless you have a system that contains
that essential logical inconsistency of circling causes. In complex
adapting processes such as life, evolution, and consciousness, prime
causes seem to shift, as if they were an optical illusion drawn by
Escher. Part of the problem humans have in trying build systems as
complicated as our own human biology is that in the past we have
insisted on a degree of logical consistency, a sort of clockwork logic,
that blocks the emergence of autonomous events. But as the mathematician
Gödel showed, inconsistency is an inevitable trait of any
self-sustaining system built up out of consistent parts.
Gödel's 1931 theorem demonstrates, among other things, that attempts to
banish self-swallowing loopiness are fruitless, because, in Hofstadter's
words, "it can be hard to figure out just where self-referencing is
occurring." When examined at a "local" level every part seems
legitimate; it is only when the lawful parts form a whole that the
contradiction arises.
In 1991, a young Italian scientist, Walter Fontana, showed
mathematically that a linear sequence of function A producing function B
producing function C could be very easily circled around and closed in a
cybernetic way into a self-generating loop, so that the last function
was coproducer of the initial function. When Kauffman first encountered
Fontana's work he was ecstatic with the beauty of it. "You have to fall
in love with it! Functions mutually making one another. Out of all
function space, they come gripping one another's arms in an embrace of
creating!" Kauffman called such a autocatalytic set an "egg." He said,
"An egg would be a set of rules having the property that the rules they
pose are precisely the ones that create them. That's really not crazy at
all."
To get an egg you start with a huge pool of different agents. They could
be varieties of protein pieces or fragments of computer code. If you let
them interact upon each other long enough, they will produce small loops
of thing-producing-other things. Eventually, if given time and elbowroom
the spreading network of these local loops in the system will crowd upon
itself, until every producer in the circuit is a product of another,
until every loop is incorporated into all the other loops in massively
parallel interdependence. At this moment of "catalytic closure" the web
of parts suddenly snaps into a stable game -- the system sits in its own
lap, with its beginning resting on its end, and vice versa.
Life began in such a soup of "polymers acting on polymers to form new
polymers," Kauffman claims. He demonstrated the theoretical feasibility
of such a logic by running experiments of "symbol strings acting on
symbol strings to form new symbol strings." His assumption was that he
could equate protein fragments and computer code fragments as logical
equivalents. When he ran networks of bits of code-which-produce-code as
a model for proteins, he got autocatalytic systems that are circular in
the sense of the lap game: they have no beginning, no center, and no
end.
Life popped into existence as a complete whole much as a crystal
suddenly appears in its final (though miniature) form in a
supersaturated solution: not beginning as a vague half-crystal, not
appearing as a half-materialized ghost, but wham, being all at once,
just as a lap game circle suddenly emerges from a curving line of 200
people. "Life began whole and integrated, not disconnected and
disorganized," writes Stuart Kauffman. "Life, in a deep sense,
crystallized."
He goes on to say, "I hope to show that self-reproduction and
homeostasis, basic features of organisms, are natural collective
expressions of polymer chemistry. We can expect any sufficiently complex
set of catalytic polymers to be collectively autocatalytic." Kauffman
was creeping up on that notion of inevitability again. "If my model is
correct then the routes to life in the universe are boulevards, rather
than twisted back alleyways." In other words, given the chemistry we
have, "life is inevitable."
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