First Place

I met a traveller from an antique land
Who said: Two vast and trunkless legs of stone
Stand in the desert. Near them, on the sand,
Half sunk, a shattered visage lies, whose frown,
And wrinkled lip, and sneer of cold command,
Tell that its sculptor well those passions read
Which yet survive, stamped on these lifeless things,
The hand that mocked them and the heart that fed:
And on the pedestal these words appear:
“My name is Ozymandias, king of kings:
Look on my works, ye Mighty, and despair!”
Nothing beside remains. Round the decay
Of that colossal wreck, boundless and bare
The lone and level sands stretch far away.

That’s “Ozymandias,” Shelley’s most popular sonnet. The world was actually offered two entries on this theme: Shelley was writing in competition with his friend Horace Smith, whose own poem appeared in The Examiner three weeks later. Here’s his try:

In Egypt’s sandy silence, all alone,
Stands a gigantic Leg, which far off throws
The only shadow that the Desert knows:–
“I am great OZYMANDIAS,” saith the stone,
“The King of Kings; this mighty City shows
“The wonders of my hand.”– The City’s gone,–
Nought but the Leg remaining to disclose
The site of this forgotten Babylon.
We wonder,–and some Hunter may express
Wonder like ours, when thro’ the wilderness
Where London stood, holding the Wolf in chace,
He meets some fragment huge, and stops to guess
What powerful but unrecorded race
Once dwelt in that annihilated place.

Enchantingly, Smith titled this “On A Stupendous Leg of Granite, Discovered Standing by Itself in the Deserts of Egypt, with the Inscription Inserted Below.” You can decide which deserves immortality.

Bed Credit

http://commons.wikimedia.org/wiki/File:Christian_bindslev_er_syg.jpg

We are never so virtuous as when we are ill. Has a sick man ever been tempted by greed or lust? He is neither a slave to his passions nor ambitious for office; he cares nothing for wealth and is content with the little he has, knowing that he must leave it. It is then that he remembers the gods and realizes that he is mortal: he feels neither envy, admiration, nor contempt for any man: not even slanderous talk can win his attention or give him food for thought, and his dreams are all of baths and cool springs. These are his sole concern, the object of all his prayers; meanwhile he resolves that if he is lucky enough to recover he will lead a sober and easy life in future, that is, a life of happy innocence.

So here for our guidance is the rule, put shortly, which the philosophers seek to express in endless words and volumes: in health we should continue to be the men we vowed to become when sickness prompted our words.

— Pliny the Younger, letter to Valerius Marcinius

“Scooping the Loop Snooper”

Given a particular input, will a computer program eventually finish running, or will it continue forever?

That sounds straightforward, but in 1936 Alan Turing showed that it’s undecidable: It’s impossible to devise a general algorithm that can answer this question for every possible program and input.

The most charming proof of this was published in 2000 by University of Edinburgh linguist Geoffrey Pullum — he did it in the style of Dr. Seuss:

No program can say what another will do.
Now, I won’t just assert that, I’ll prove it to you:
I will prove that although you might work til you drop,
You can’t predict whether a program will stop.

Imagine we have a procedure called P
That will snoop in the source code of programs to see
There aren’t infinite loops that go round and around;
And P prints the word “Fine!” if no looping is found.

You feed in your code, and the input it needs,
And then P takes them both and it studies and reads
And computes whether things will all end as they should
(As opposed to going loopy the way that they could).

Well, the truth is that P cannot possibly be,
Because if you wrote it and gave it to me,
I could use it to set up a logical bind
That would shatter your reason and scramble your mind.

Here’s the trick I would use — and it’s simple to do.
I’d define a procedure — we’ll name the thing Q —
That would take any program and call P (of course!)
To tell if it looped, by reading the source;

And if so, Q would simply print “Loop!” and then stop;
But if no, Q would go right back to the top,
And start off again, looping endlessly back,
Til the universe dies and is frozen and black.

And this program called Q wouldn’t stay on the shelf;
I would run it, and (fiendishly) feed it itself.
What behaviour results when I do this with Q?
When it reads its own source, just what will it do?

If P warns of loops, Q will print “Loop!” and quit;
Yet P is supposed to speak truly of it.
So if Q’s going to quit, then P should say, “Fine!” —
Which will make Q go back to its very first line!

No matter what P would have done, Q will scoop it:
Q uses P’s output to make P look stupid.
If P gets things right then it lies in its tooth;
And if it speaks falsely, it’s telling the truth!

I’ve created a paradox, neat as can be —
And simply by using your putative P.
When you assumed P you stepped into a snare;
Your assumptions have led you right into my lair.

So, how to escape from this logical mess?
I don’t have to tell you; I’m sure you can guess.
By reductio, there cannot possibly be
A procedure that acts like the mythical P.

You can never discover mechanical means
For predicting the acts of computing machines.
It’s something that cannot be done. So we users
Must find our own bugs; our computers are losers!

Pullum, Geoffrey K. (2000) “Scooping the loop snooper: An elementary proof of the undecidability of the halting problem.” Mathematics Magazine 73.4 (October 2000), 319-320.

(Thanks, Pål.)

Misc

  • There’s no “u” in solipsism.
  • Wagner said the saxophone “sounds like the word Reckankreuzungsklankewerkzeuge.”
  • FDR was related by blood or marriage to 11 other presidents.
  • 3909511 = 53 + 59 + 50 + 59 + 55 + 51 + 51
  • “If you can’t stand the heat, stay out of the chicken.” — Ted Giannoulas, San Diego Chicken

(Thanks, Eric.)

Murder Ink

In 1973, Sheldon Klein of the University of Wisconsin programmed a computer to write a 2,100-word mystery story in 19 seconds:

Wonderful smart Lady Buxley was rich. Ugly oversexed Lady Buxley was single. John was Lady Buxley’s nephew. Impoverished irritable John was evil. Handsome oversexed John Buxley was single. John hated Edward. John Buxley hated Dr. Bartholomew Hume. Brilliant Hume was evil. Hume was oversexed. Handsome Dr. Bartholomew was single. Kind easygoing Edward was rich. Oversexed Lord Edward was ugly. Lord Edward was married to Lady Jane. Edward Liked Mary Jane. Edward was not jealous. Lord Edward disliked John. Pretty jealous Jane liked Lord Edward. …

The plots tend to be haphazard and the narrative unsophisticated … but in this example the butler did it. Perhaps Klein was onto something.

“The Chair of Death”

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Convicted of murder in Illinois in 1934, Walter Dittman composed a poem to serve as his last words:

I see it grimly waiting patiently for me,
To send me as its victim into eternity.
Not a whit or bit of mercy does it show for man or beast.
Its only song is, “Die, you dog, for your slide to hell is greased.”

It’s not the thought that I’m to die that makes me want to pray.
It’s because I’ll not be there, my own, to wipe your tears away.
God knows, and so do you, that I never slew nor stole,
And though the whole world’s turned against me,
He’ll have mercy on my soul.

“Regina v. Ojibway”

This is an appeal by the Crown by way of a stated case from a decision of the magistrate acquitting the accused of a charge under the Small Birds Act, R.S.O., 1960, c.724, s.2. The facts are not in dispute. Fred Ojibway, an Indian, was riding his pony through Queen’s Park on January 2, 1965. Being impoverished, and having been forced to pledge his saddle, he substituted a downy pillow in lieu of the said saddle. On this particular day the accused’s misfortune was further heightened by the circumstance of his pony breaking its foreleg. In accord with Indian custom, the accused then shot the pony to relieve it of its awkwardness. The accused was then charged with having breached the Small Birds Act, s.2 of which states:

2. Anyone maiming, injuring or killing small birds is guilty of an offence and subject to a fine not in excess of two hundred dollars.

The learned magistrate acquitted the accused holding, in fact, that he had killed his horse and not a small bird. With respect, I cannot agree.

In light of the definition section my course is quite clear. Section 1 defines “bird” as “a two-legged animal covered with feathers.” There can be no doubt that this case is covered by this section.

Counsel for the accused made several ingenious arguments to which, in fairness, I must address myself. He submitted that the evidence of the expert clearly concluded that the animal in question was a pony and not a bird, but this is not the issue. We are not interested in whether the animal in question is a bird or not in fact, but whether it is one in law. Statutory interpretation has forced many a horse to eat birdseed for the rest of its life.

Counsel also contended that the neighing noise emitted by the animal could not possibly be produced by a bird. With respect, the sounds emitted by an animal are irrelevant to its nature, for a bird is no less a bird because it is silent.

Counsel for the accused also argued that since there was evidence to show accused had ridden the animal, this pointed to the fact that it could not be a bird but was actually a pony. Obviously, this avoids the issue. The issue is not whether the animal was ridden or not, but whether it was shot or not, for to ride a pony or a bird is of no offence at all. I believe counsel now sees his mistake.

Counsel contends that the iron shoes found on the animal decisively disqualify it from being a bird. I must inform counsel, however, that how an animal dresses is of no consequence to this court.

Counsel relied on the decision in Re Chicadee, where he contends that in similar circumstances the accused was acquitted. However, this is a horse of a different colour. A close reading of that case indicates that the animal in question there was not a small bird, but, in fact, a midget of a much larger species. Therefore, that case is inapplicable to our facts.

Counsel finally submits that the word “small” in the title Small Birds Act refers not to “Birds” but to “Act”, making it The Small Act relating to Birds. With respect, counsel did not do his homework very well, for the Large Birds Act, R.S.O. 1960, c. 725 is just as small. If pressed, I need only refer to the Small Loans Act, R.S.O. 1960, c. 727, which is twice as large as the Large Birds Act.

It remains then to state my reason for judgment, which, simply, is as follows: Different things may take on the same meaning for different purposes. For the purpose of the Small Birds Act, all two-legged, feather-covered animals are birds. This, of course, does not imply that only two-legged animals qualify, for the legislative intent is to make two legs merely the minimum requirement. The statute therefore contemplated multi-legged animals with feathers as well. Counsel submits that having regard to the purpose of the statute only small animals “naturally covered” with feathers could have been contemplated. However, had this been the intention of the legislature, I am certain that the phrase “naturally covered” would have been expressly inserted just as “Long” was inserted in the Longshoreman’s Act.

Therefore, a horse with feathers on its back must be deemed for the purposes of this Act to be a bird, and a fortiori, a pony with feathers on its back is a small bird.

Counsel posed the following rhetorical question: If the pillow had been removed prior to the shooting, would the animal still be a bird? To this let me answer rhetorically: Is a bird any less of a bird without its feathers?

— Anonymous, collected in Amicus Humoriae, ed. Robert M. Jarvis, Thomas E. Baker, and Andrew J. McClurg, 2003

Alp Pal

tschingel

In 1868, American alpinist W.A.B. Coolidge received a unique gift — Tschingel, a 3-year-old dog with a preternatural passion for mountaineering. Though he was “not at all a dog fancier,” Coolidge began to take her on expeditions, and he watched as she climbed the Torrenthorn (2,998 meters), crossed the Gemmi pass (2,316 meters), and reached the summit of the Blümlisalphorn (3,664 meters) — where she slipped on the final slope and was caught by her collar as she slid toward the Oeschinensee. “She seemed to like it very much,” he wrote, “and, so we thought, the panoramas from tops, running on ahead of us to the summit of a peak, and then running back to encourage us by showing how near we were to the wished-for goal.”

So she joined the team. Over the next 11 years Tschingel and Coolidge climbed 30 peaks and crossed 36 passes. While climbing, she was roped to her companions by a cord passed through her collar; they made leather boots to preserve her feet, but she always kicked them off. As they climbed the Aletschhorn (4,195 meters), Coolidge wrote, “my aunt went up the Sparrhorn to look at us, and we waved Tschingel in the air as a sort of red flag.”

Her greatest conquest was the Breithorn, at 4,171 meters; when she descended from Monte Rosa, some English climbers elected her an “honorary lady member” of the Alpine Club. She died in her sleep in Surrey in 1879.

Forty years later Alpine historian Monroe Thorington visited Coolidge at his home in Grindelwald. “Just when I was leaving, he pointed to the door,” he recalled later. “There on a hook was Tschingel’s collar with the little bangles shining in the sun. Not a word was said, but Coolidge managed something resembling a smile.”

See The Dog of Helvellyn and Nine Lives Left.

Us Do Part

The will of John George, of Lambeth, who died in London in June, 1791, contained the following words: ‘Seeing that I have had the misfortune to be married to the aforesaid Elizabeth, who ever since our union has tormented me in every possible way; that, not content with making game of all my remonstrances, she has done all she could to render my life miserable; that heaven seems to have sent her into the world solely to drive me out of it; that the strength of Samson, the genius of Homer, the prudence of Augustus, the skill of Pyrrhus, the patience of Job, the philosophy of Socrates, the subtlety of Hannibal, the vigilance of Hermogenes, would not suffice to subdue the perversity of her character; that no power on earth can change her, seeing we have lived apart during the last eight years, and that the only result has been the ruin of my son, whom she has corrupted and estranged from me; weighing maturely and seriously all these considerations, I bequeath to my said wife Elizabeth the sum of one shilling, to be paid unto her within six months after my death.’

Albany Law Journal, March 24, 1900

Lieutenant Colonel Nash got even with his wife by leaving the bell ringers of Bath abbey 50 pounds a year on condition that they muffle the bells of said abbey on the anniversary of his marriage and ring them with ‘doleful accentuation from 8 a.m. to 8 p.m.’ and on the anniversary of his death to ring a merry peal for the same space ‘in memory of his happy release from domestic tyranny and wretchedness.’

The Bar, November 1908

A Social Invention

Thomas Edison popularized the word hello. Working in AT&T’s Manhattan archives in 1987, Brooklyn College classics professor Allen Koenigsberg unearthed a letter that Edison had written in August 1877 to the president of a telegraph company that was planning to introduce the telephone in Pittsburgh. Edison wrote:

Friend David, I don’t think we shall need a call bell as Hello! can be heard 10 to 20 feet away. What do you think? EDISON

At the time it was thought that the line would remain open permanently, so a caller needed a way to get the other party’s attention. Apparently hello was a variation on the traditional hound call “Halloo!”

What should the answerer reply? Alexander Graham Bell pressed for Hoy! Hoy!, but Edison equipped the first exchanges, so hello gained the ascendancy there too.

That’s all it took — by 1880 the word was everywhere. “The phone overnight cut right through the 19th-century etiquette that you don’t speak to anyone unless you’ve been introduced,” Koenigsberg told the New York Times. “If you think about it, why didn’t Stanley say hello to Livingston? The word didn’t exist.”