
My rating: 4 of 5 stars
View all my reviews
“Let us contemplate the following experiment,” Schutzenberger said, “the Weizenbaum Experiment.”
Joseph Weizenbaum of MIT had just published a book on the misuse of computer theory. Largely because he wished that he had said many of the things that Weizenbaum had said, Schutzenberger had taken an immense boisterous dislike to Weizenbaum and hence thought it appropriate that our experiment be named after him.
Now mention thus of an experiment may suggest that something or other is about to be executed or performed; in fact, the Weizenbaum Experiment is one of those purely imaginary affairs in which trains of thought are allowed to meander and then merge by anastomosis.
“In life,” Schutzenberger went on thoughtfully, “there are two mathematical structures or spaces. There is a space made up of DNA or the proteins. This is an alphabetic space. Its objects are words. And there is a zoological space. Its objects are organisms. This is a space of alphabetic representatives. We say that in both spaces a natural metric exists – the natural metric – and that evolution proceeds in both spaces according to this natural metric. What is more, there is a mapping between the two spaces. It is this mapping that establishes that my DNA serves to express me.
I nodded and began to take notes.
“Furthermore,” Schuztenberger said, “there is in the space of the nucleic acids or the proteins a probability transition system.”
“This probability transition system – do you have in mind a finite-state Markov process?”
“Yes,” said Schutzenberger dreamily, “a finite-state Markov process.”
Schutzenberger stopped pacing and folded his hands in front of him, the long, curled, tobacco-stained fingers locked.
“We now observe,” Schutzenberger said, “that the probability transition system is roughly in accord with the natural metric. We are speaking only of the alphabetic space, remember.”
I looked up, for the moment unconvinced. “Why?”
“We say that the probability transition system is in accord with the natural metric because the most likely changes in the system are those that transform strings into nearby strings.”
“I don’t see this principle follows from the idea that alphabetic changes are independent.”
“It does not,” Schutzenberger agreed. “It follows from the observation that the probabilistic structure of the alphabetic space is not uniform. Indeed, it is this observation that shows ultimately that life does not comprise an ergodic system.”
This was the sort of lovely lunatic leap that Schutzenberger was forever taking in conversation. I must have looked up with an expression of radiant confusion; Schutzenberger directed a warm, beaming smile into the ambient atmosphere, and went on, untroubled by my lack of confidence.
“Life,” he said, “is conservative. Not everything that can change does change. For the most part, biological strings do not change at all. When they do change, they change in only one position. It is highly unlikely that a given string will change in respect to every position. We do not in life see a strand of DNA change its character at every possible codon in one sudden mutation.”
I caught Schutzenberger’s point.
“Now we need something more,” he said, with the air of a man constructing a wonderful instrument, “a mirror, so to speak. We wish to say with regard to arbitrary strings not only how far apart they are under the natural metric, but how far apart their representatives in the real world are. For this we require an induced metric. Very common in mathematics.”
I stopped writing to look up, and shook my hand to release its cramp.
“So when we talk of strings of DNA or strands of protein,” Schutzenberger went on, “we can talk of the natural distance between them or their induced distance. Two sets of strings may be close under the natural metric and far apart under the induced metric. You know, there is the famous experiment in which chimpanzee and human polypeptides were compared. Simply considered as strings there is virtually no difference between them. Evidently there is some difference between a chimpanzee and a human being.”
We were for the moment both quiet.
“In fact, zoologists often assume that the chimpanzee and the human being are closer than they really are.” Schutzenberger held his own hand in the air, palm outward.
Having grown impatient with his own digressions, Schutzenberger finally said, “Let us now perform the Weizenbaum Experiment. We suppose that we have certain strings of alphabetic objects, and that there is some initial probability distribution defined upon them. That is to say, at the beginning of the experiment, the strings are most likely to be in a certain initial configuration. We also have – are you writing? Good – a probability transition system, one that tells which changes in the strings are probable and which are not.”
McConnell’s statement indicating a desire to cut a deal and avoid default changed the dynamic, but as he said, it was not because he feared the economic consequences for the country,
but because the failure to do so would damage the Republican brand. The clear implication was that if default brought economic hardship and the president and Democrats got blamed, that would be just fine. That kind of calculus—putting partisan advantage ahead of problem-solving, with the stakes for the country being sky-high—was not politics as usual, at least not as we have seen it practiced through several generations of party leaders.
From his perspective, the president had put himself out on a limb to reach a deal, accepting painful changes in Medicare and other entitlements that his party stalwarts passionately opposed, and in return had been openly disrespected by Boehner. He faced the real possibility of a major jolt to an already weak economy; experts predicted that default might send the economy into a deeper tailspin. So he went on national television to offer his own version of what had happened, underscoring his support for the $4 trillion plan he had come close to securing with Boehner. He
placed blame not on Boehner but on the other Republicans in Congress who had insisted on a cuts-only approach that Obama chastised as unfair because it spared the wealthy alone any sacrifice.
He expressed alarm at the dire consequences, including the first time in history that the nation’s AAA credit rating would be downgraded, and decried a six-month extension of the debt limit
as irresponsible. He called for compromise and said, “The American people may have voted for divided government but they didn’t vote for dysfunctional government.”
The regular early morning yell of horror was the sound of Arthur Dent waking up and suddenly remembering where he was.
It wasn’t just that the cave was cold, it wasn’t just that it was damp and smelly. It was that the cave was in the middle of Islington and there wasn’t a bus due for two million years.
Time is the worst place, so to speak, to get lost in, as Arthur Dent could testify, having been lost in both time and space a good deal. At least being lost in space kept you busy.
...
...With a sudden ping, there was a rabbit there in the black labyrinth with him, a huge, monstrously, hideously soft and lovable rabbit - an image again, but one on which every single soft and lovable hair seemed like a real and single thing growing in its soft and lovable coat. Arthur was startled to see his own reflection in its soft and lovable unblinking and extremely huge brown eyes.
"Born in darkness, - rumbled the voice, - raised in darkness. One morning I poked my head for the first time into the bright new world and got it split open by what felt suspiciously like some primitive instrument made of flint.
"Made by you, Arthur Dent, and wielded by you. Rather hard as I recall.
"You turned my skin into a bag for keeping interesting stones in. I happen to know that because in my next life I came back as a fly again and you swatted me. Again. Only this time you swatted me with the bag you'd made of my previous skin.
- Arthur Dent, you are not merely a cruel and heartless man, you are also staggeringly tactless"....
Man's Search for Ultimate Meaning by Viktor E. Frankl My rating: 0 of 5 stars The Origin of Intolera...