Correct me, Lord, but in moderation…

Jeremiah 10:24.

Accounts of error-correcting codes always start with the (3,1)-repetition code — transmit three copies of each bit, and let them vote, choosing the best two out of three when there is disagreement. Apparently this code has been in use for longer than anyone had realised, to judge by this passage from the Jerusalem Talmud:

Three scrolls [of the Torah] did they find in the Temple courtyard. In one of these scrolls they found it written “The eternal God is your dwelling place (maon)“. And in two of the scrolls it was written, “The eternal God is your dwelling place (meonah)”. They confirmed the reading found in the two and abrogated the other.

In one of them they found written “They sent the little ones of the people of Israel”. And in the two it was written, “They sent young men…”. They confirmed the two and abrogated the other.

In one of them they found written “he” [written in the feminine spelling] nine times, and in two they found it written that way eleven times. They confirmed the reading found in the two and abrogated the other. (tractate Ta’anit 4:2, trans. Jacob Neusner)

(h/t Masorti Rabbi Jeremy Gordon, who alluded to this passage in an inter-demominational panel discussion yesterday at the OCHJS. He was making a different point, which for some reason had very little to do with information theory.)

The Tin Woodman as Anti-Antinomian

Antinomianism — the belief that the intrinsic holiness of believers liberates them from petty concerns with moral, much less humane, behaviour — often seems depressingly prevalent. At least as prevalent as the mirror-image disposition that many believers attribute to atheists, that if there is no God to set rules, all things are permitted.

I was just reading The Wonderful Wizard of Oz for the first time, and I was struck by the morality of the Tin Woodman, who hopes that the Wizard will bestow upon him a heart. Of course, the running joke is that the everyone is going to the Wizard to get something that they already have. The Scarecrow wants brains, even though he repeatedly proves himself the cleverest of the company; the Cowardly Lion wants courage despite the fact that he repeatedly performs heroic and self-sacrificing deads. The Tin Woodman, although he is made of metal and lacks a heart, is the most tenderhearted of all. At one point he rusts himself through crying over a beetle that he steps on accidentally.

“This will serve me a lesson,” said he, “to look where I step. For if I should kill another bug or beetle I should surely cry again, and crying rusts my jaws so that I cannot speak.”

Thereafter he walked very carefully, with his eyes on the road, and when he saw a tiny ant toiling by he would step over it, so as not to harm it. The Tin Woodman knew very well he had no heart, and therefore he took great care never to be cruel or unkind to anything.

“You people with hearts,” he said, “have something to guide you, and need never do wrong; but I have no heart, and so I must be very careful. When Oz gives me a heart of course I needn’t mind so much.”

Replace “heart” by “grace”, and you see that far too many of the devout believe they have been to Oz.

Aren’t all famous people friends?

By way of Andrew Sullivan, I found this book review by Diane Johnson, referring to

Freud’s friend Arthur Schnitzler’s Dream Novel, the inspiration for the Stanley Kubrick film Eyes Wide Shut…

Poor Schnitzler. He’s one of my favourite authors, and Traumnovelle is one of his masterpieces, but he needs to be put into context for English readers by his connection to two people who are much better known.

I find the Freud hook particularly poignant because Freud was famously not a friend of Schnitzler. They were contemporaries, yes, and neighbours in Vienna. They read each other’s work. But they were not friends. There is one famous letter from Freud to Schnitzler (out of about 10 in total), on the occasion of the latter’s 60th birthday, in which Freud expresses his admiration, and explains why he had never made an effort to meet him. He says it was “Doppelgängerscheu”, fear of meeting his double. Schnitzler used a similar expression some years later in an interview with an American journalist, and he had long been fascinated by Freud’s theories, though also critical.

Freud did invite Schnitzler to his home after that letter, but there seem to have been only a few encounters after that. It would have been more accurate to call Schnitzler’s work “the inspiration for the Stanley Kubrick film Eyes Wide Shut, and the inspiration for many of Freud’s theories of dream analysis”.

The Underground George Osborne

Paul Krugman has taken on the Conservatives’ new budget, which proposes tax cuts, spending increases (until the election) and reducing the budget deficit in some unspecified way.

Osborne produces a ludicrous budget, and even commentators who acknowledge that it’s ludicrous give him credit for showing

a keen understanding of the constraints facing the country

Think about that: someone says that 2+2=5, and gets credit, because it shows that he recognizes how hard it is to live within the constraint of 2+2 just equalling 4.

Admittedly, it looks like vote-grubbing flimflam, but maybe we’re misunderestimating (to use a phrase popular among conservative Georges) the Chancellor of the Exchequer. Maybe, when you look past the snazzy new haircut we would see a soul in existential crisis, who would cry out from the floor of the Commons like Dostoyevsky’s Underground Man:

“Upon my word, they will shout at you, it is no use protesting: it is a case of twice two makes four! Nature does not ask your permission, she has nothing to do with your wishes, and whether you like her laws or dislike them, you are bound to accept her as she is, and consequently all her conclusions. A wall, you see, is a wall … and so on, and so on.”

Merciful Heavens! but what do I care for the laws of nature and arithmetic, when, for some reason I dislike those laws and the fact
that twice two makes four? Of course I cannot break through the wall by battering my head against it if I really have not the strength to knock it down, but I am not going to be reconciled to it simply because it is a stone wall and I have not the strength.

As though such a stone wall really were a consolation, and really did contain some word of conciliation, simply because it is as true as twice two makes four. Oh, absurdity of absurdities! How much better it is to understand it all, to recognise it all, all the impossibilities and the stone wall; not to be reconciled to one of those impossibilities and stone walls if it disgusts you to be reconciled to it; by the way of the most inevitable, logical combinations to reach the most revolting conclusions on the everlasting theme, that even for the stone wall you are yourself somehow to blame, though again it is as clear as day you are not to blame in the least…

The tortoise and Achilles enforce property rights

I’ve commented before about how Lewis Carroll’s “What the Tortoise said to Achilles” identifies a paradigmatic gap between principles and action, which may be summarised as “Yeah, what are you going to do about it?”
I was recently reading Jerome K. Jerome’s brilliant comic memoir “Three Men in a Boat”, which reads like a lost work of Mark Twain, if Mark Twain had been a Victorian English dandy (as, I suppose, he almost was in his later years). There was this account:

We stopped under the willows by Kempton Park, and lunched. It is a pretty little spot there: a pleasant grass plateau, running along by the water’s edge, and overhung by willows. We had just commenced the third course—the bread and jam—when a gentleman in shirt-sleeves and a short pipe came along, and wanted to know if we knew that we were trespassing. We said we hadn’t given the matter sufficient consideration as yet to enable us to arrive at a definite conclusion on that point, but that, if he assured us on his word as a gentleman that we were trespassing, we would, without further hesitation, believe it.

He gave us the required assurance, and we thanked him, but he still hung about, and seemed to be dissatisfied, so we asked him if there was anything further that we could do for him; and Harris, who is of a chummy disposition, offered him a bit of bread and jam.

I fancy he must have belonged to some society sworn to abstain from bread and jam; for he declined it quite gruffly, as if he were vexed at being tempted with it, and he added that it was his duty to turn us off.

Harris said that if it was a duty it ought to be done, and asked the man what was his idea with regard to the best means for accomplishing it. Harris is what you would call a well-made man of about number one size, and looks hard and bony, and the man measured him up and down, and said he would go and consult his master, and then come back and chuck us both into the river.

In other words, you can accept the principles of property rights as far as the most devoted libertarian would wish to push them, but they still get you nowhere without a plan of action to enforce them.

Bayesian theology

I was reading (finally, after seven years in Oxford) Thomas Hardy’s Jude the Obscure, and found the following quote from John Henry Newman:

My argument was … that absolute certitude as to the truths of natural theology was the result of an assemblage of concurring and converging probabilities … that probabilities which did not reach to logical certainty might create a mental certitude.

 

Helicopter parents avant la lettre

I’m always intrigued by the eternal present of “nowadays”: Trends that rise and rise like an Escher staircase. Just now I was coming to the end of Anna Karenina — which I had expected would be just Madame Bovary on the steppes, but it was vastly more — and found this passage:

“He assures me that our children are splendid, when I know how much that’s bad there is in them.”

“Arseny goes to extremes, I always say,” said his wife. “If you look for perfection, you will never be satisfied. And it’s true, as papa says,—that when we were brought up there was one extreme—we were kept in the basement, while our parents lived in the best rooms; now it’s just the other way—the parents are in the wash house, while the children are in the best rooms. Parents now are not expected to live at all, but to exist altogether for their children.”

“Well, what if they like it better?” Lvov said, with his beautiful smile, touching her hand. “Anyone who didn’t know you would think you were a stepmother, not a true mother… Well, come here, you perfect children,” Lvov said to the two handsome boys who came in…

The time when children knew their place, and parents could enjoy themselves, is just a generation past, and apparently it always was.

Bayesian Fables: The Trojan Horse

I was talking recently to a friend who said he saw the story of the Trojan horse as an object lesson in the failure of governance. “Wasn’t there anyone who could say, wait a minute, maybe it’s just not a good idea to bring that horse in here, even if the Greeks seem to have all left?”

I said it was a fable about the inaccessibility of Bayesian reasoning. Laocoön warned them that the prior probability for a net benefit from a Greek gift was low (timeō Danaōs et dōna ferentēs). But the Trojans placed more credence in new information, particularly private information that they hold exclusively, particularly when they seem to have won the information at great effort, by their own ingenuity, by torturing the captured Sinon. (This lesson was learned by the British spies in WWII who conceived Operation Mincemeat.) Laocoön was punished for insisting on his strong prior, being crushed to death by the clever serpents sent by the Goddess of Worldly Wisdom. And the Trojans celebrated their ingenious victory, until they were overrun by reality, in the form of well-muscled Achaean warriors who were not impressed by their highly significant rejection of the likelihood of a subterfuge.

La planète des singes

Imagine a French cartoon showing a scene from “‘Batman’ à l’américaine”, showing a portly Batman stuffing his face with a cheeseburger, demonstrating how an American Batman would differ from the normal French Batman that everyone is familiar with.

The most recent (28 July, 2014) issue of The New Yorker has a cartoon, showing two figures trudging along a beach, from which the top of the Eiffel Tower can be seen poking through the sand; the woman holds the reins of a horse, the man has hurled himself to the ground, crying “Non!” The caption is “‘Planet of the Apes’ in French”.

So, I found myself wondering how this is supposed to be understood. Do most people know that Planet of the Apes was originally a novel (in French) by Pierre Boulle (author as well of The Bridge on the River Kwai), and that the Eiffel Tower does play an important role in the end of the novel? Does the author know? Does he expect the readers to know that? It very much affects how you read the cartoon, and what the humour is (which I’m having difficulty discerning). If he knows, then it’s presumably supposed to be some sort of comment on Hollywood appropriation of other countries’ icons. If he doesn’t know, then the joke is supposed to be about how ridiculous it would be for space explorers to be exotic Gauls, rather than normal Americans. Hence my thought above about how a comparably ignorant French cartoonist might “americanise” a normal French character that he doesn’t realise was already American to begin with.

Early 20th century MOOCs

It is always enlightening to see how some of the same breathless optimism derived from our newest innovations, the claims that perennial problems are going to be solved at last, were also derived from innovations a century or more old, when they were new. In particular, I was struck by Kevin Birmingham’s account (in his remarkable book on the genesis of James Joyce’s Ulysses) of the early days of Random House, and its Modern Library series:

Both within and beyond universities, people began thinking that certain books illuminated eternal features of the human condition. They didn’t demand expertise — one didn’t need to speak classical Greek or read all of Plato to benefit from The Republic — all they demanded was, as [Professor John] Erskine put it, “a comfortable chair and a good light.” […]

The Modern Library offered commodified prestige with the illusion of self-reliance. Readers could have the benefits of institutional culture without the institutions. They could rise above the masses by purchasing a dozen inexpensive books.

Replace “good light” by “fast internet connection”, and you have the promise of Coursera. Of course, that jibes well with the feelings that many skeptics have, who wonder why we need new technology to democratise education. As long as you’re lecturing to masses, where personal feedback is logistically impossible, doesn’t it suffice to have a well-stocked library?