Harms and the Man

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The International Statistical Classification of Diseases and Related Health Problems (ICD) is a list of more than 10,000 diseases and maladies that patients might present. The medical community uses it for recordkeeping — for example, a patient admitted to the hospital with whooping cough would be logged in the database with code A37. Reader Will Beattie sent me a list of some of the stranger complaints on the list:

  • Urban rabies – A821
  • Lobster-claw hand, bilateral – Q7163
  • Fall into well – W170
  • Complete loss of teeth, unspecified cause – K0810
  • Pecked by turkey – W6143
  • O’nyong-nyong fever – A921
  • Hang glider explosion injuring occupant – V9615
  • Contact with hot toaster – X151
  • Major anomalies of jaw size – M260
  • Intrinsic sphincter deficiency (ISD) – N3642
  • Underdosing of cocaine – T405X6
  • Prolonged stay in weightless environment – X52

Will says his favorite so far is “Burn due to water skis on fire – V9107.” It’s a dangerous world,” he writes. “Be safe out there.”

Related: Each year the Occupational Safety and Health Administration publishes a list of workplace deaths, with a brief description of each incident:

  • Worker died when postal truck became partially submerged in lake.
  • Worker was caught between rotating drum and loading hopper of a ready-mix truck.
  • Worker fatally engulfed in dry cement when steel storage silo collapsed.
  • Worker on ladder struck and killed by lightning.
  • Worker was pulled into a tree chipper machine.
  • Worker was caught between two trucks and crushed.
  • Worker died when his head was impaled by metal from the drive section of a Ferris wheel. The employee slipped after acknowledging he was clear and the wheel began to turn, trapping his head.
  • Worker was draining a tank; one of the employees climbed to the top of the tank and lit a cigarette and waved it over the opening in the tank. The tank exploded, killing the worker.
  • Worker was kicked by an elephant.
  • Sheriff Deputy was walking through the woods, working a cold case, and fell 161 feet into a sink hole.

It’s hard to pick the worst one. “Worker was operating a skid-steer cleaning out a dairy cattle barn near an outdoor manure slurry pit. The skid-steer and the worker fell off the end of the push-off platform into the manure slurry pit, trapping the worker in the vehicle. Worker died of suffocation due to inhalation of manure.”

Practicalities

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If 6 cats can kill 6 rats in 6 minutes, how many will be needed to kill 100 rats in 50 minutes?

It’s easy enough to work out that the answer is 12, but consider what this means. “When we come to trace the history of this sanguinary scene through all its horrid details, we find that at the end of 48 minutes 96 rats are dead, and that there remain 4 live rats and 2 minutes to kill them in,” observed Lewis Carroll in the Monthly Packet in February 1880. “The question is, can this be done?”

Consider the original statement: 6 cats can kill 6 rats in 6 minutes. What can this actually mean? Carroll counts at least four possibilities:

A. “All 6 cats are needed to kill a rat; and this they do in one minute, the other rats standing meekly by, waiting for their turn.”
B. “3 cats are needed to kill a rat, and they do it in 2 minutes.”
C. “2 cats are needed, and they do it in 3 minutes.”
D. “Each cat kills a rat all by itself, and takes 6 minutes to do it.”

Now try to apply these to our conclusion that 12 cats can kill 100 rats in 50 minutes. Cases A and B work out, but Case C can work only if we understand that fractional deaths are possible: that 2 cats could kill two-thirds of a rat in 2 minutes. Similarly, Case D works only if a cat can kill one-third of a rat in 2 minutes.

The only way to resolve this absurdity, it seems, is to supply extra cats. “In case C less than 2 extra cats would be of no use. If 2 were supplied, and if they began killing their 4 rats at the beginning of the time, they would finish them in 12 minutes, and have 36 minutes to spare, during which they might weep, like Alexander, because there were not 12 more rats to kill. In case D, one extra cat would suffice; it would kill its 4 rats in 24 minutes, and have 24 minutes to spare, during which it could have killed another 4. But in neither case could any use be made of the last 2 minutes, except to half-kill rats — a barbarity we need not take into consideration.”

“To sum up our results: If the 6 cats kill the 6 rats by method A or B, the answer is ’12’; if by method C, ’14’; if by method D, ’13’.”

(Another problem: “If a cat can kill a rat in a minute, how long would it be killing 60,000 rats? Ah, how long, indeed! My private opinion is that the rats would kill the cat.”)

In a Word

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celsitude
n. height; elevation; altitude

faineant
n. one who does nothing; an idler

ataraxia
n. a pleasure that comes when the mind is at rest

Inspiration

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A poor artist is visited by a time traveler from the future. The traveler is an art critic who has seen the artist’s work and is convinced that he’s one of the greatest painters of his time. In looking at the artist’s current paintings, the critic realizes that the artist hasn’t yet reached the zenith of his ability. He gives him some reproductions of his later work and then returns to the future. The artist spends the rest of his life copying these reproductions onto canvas, securing his reputation.

What is the problem here? Kurt Gödel showed in 1949 that time travel might be physically possible, and there’s no contradiction involved in the critic arriving in the artist’s garret, giving him the reproductions, and later admiring the painter’s copies of them — that loop might simply exist in the fabric of time.

What’s missing is the source of the artistic creativity that produces the paintings. “No one doubts the aesthetic value of the artist’s paintings, nor the sense in which the critic’s reproductions reflect this value,” writes philospher Storrs McCall. “What is incomprehensible is: who or what creates the works that future generations value? Where is the artistic creativity to be found? Unlike the traditional ‘paradoxes of time travel’, this problem has no solution.”

(Storrs McCall, “An Insoluble Problem,” Analysis 70:4 [October 2010], 647-648.)

A Point of Duty

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Secessionist Roger A. Pryor was visiting Fort Sumter just before the outbreak of the Civil War when he accidentally drank a bottle of poison. A Union doctor named Samuel Crawford pumped his stomach, saving his life.

“Some of us questioned the doctor’s right to interpose in a case of this kind,” wrote Union captain Abner Doubleday. “It was argued that if any rebel leader chose to come over to Fort Sumter and poison himself, the Medical Department had no business to interfere with such a laudable intention.”

“The doctor, however, claimed, with some show of reason, that he himself was held responsible to the United States for the medicine in the hospital, and therefore he could not permit Pryor to carry any of it away.”

Out of Bounds

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If a game is anything, it’s a set of rules. And playing a game requires following these rules. If we take this definition seriously, then a cheater, one who breaks the rules, not only doesn’t deserve to win — he literally isn’t playing the game. University of Waterloo philosopher Bernard Suits writes:

The end in poker is not to gain money, nor in golf simply to get a ball into a hole, but to do these things in prescribed (or, perhaps more accurately, not to do them in proscribed) ways: that is, to do them only in accordance with rules. Rules in games thus seem to be in some sense inseparable from ends. … If the rules are broken, the original end becomes impossible of attainment, since one cannot (really) win the game unless he plays it, and one cannot (really) play the game unless he obeys the rules of the game.

So, strictly speaking, it’s impossible for a cheater to win a game — he can win only by following the rules. “In a game I cannot disjoin the end, winning, from the rules in terms of which winning possesses its meaning. I of course can decide to cheat in order to gain the pot, but then I have changed my end from winning a game to gaining money.”

(Bernard Suits, “What Is a Game?”, Philosophy of Science 34:2 [June 1967], 148-156.)

Coming and Going

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Edmund Wilson’s 1948 poem “The Pickerel Pond” has a novel feature — backward rhymes:

The lake lies with never a ripple
A lymph to lave sores from a leper
The sand white as salt in an air
That has filtered and tamed every ray;

Below limpid water, those lissome
Scrolleries scribbled by mussels
The floating dropped feathers of gulls;
A leech like a lengthening slug

That shrinks at a touch, ink and orange;
A child’s wrecked Rio Janeiro,
One fortress of which flies a reed
The cleft and quick prints of a deer …

Each pair of line endings (ripple/leper, air/ray) reverse one another in pronunciation, reflecting the pond’s mirror-like surface. They’re called amphisbaenic rhymes, after the amphisbaena, a Greek monster whose two heads allow it to move in either direction. Wilson’s poem contains 70 twisting stanzas of such rhymes.

The Donjon Keep Window

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In Henry Dudeney’s Canterbury Puzzles, Sir Hugh De Fortibus takes his chief builder to the walls of his donjon keep and points to a window there.

“Methinks,” he says, “yon window is square, and measures, on the inside, one foot every way, and is divided by the narrow bars into four lights, measuring half a foot on every side.”

“Of a truth that is so, Sir Hugh,” says the builder.

“Then I desire that another window be made higher up whose four sides shall also be each one foot, but it shall be divided by bars into eight lights, whose sides shall be all equal.”

Bewildered, the builder says, “Truly, Sir Hugh, I know not how it may be done.”

“By my halidame!” exclaims De Fortibus in pretended rage. “Let it be done forthwith. I trow thou art but a sorry craftsman, if thou canst not, forsooth, set such a window in a keep wall.”

How can it be done?

Click for Answer

Foreign Relations

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“Such a question as, Why does everything in Spain look Spanish? is one of those apparently idiotic questions that opens up quite unexpected areas of vision.” — Northrop Frye, “Spirit and Symbol,” Words With Power, 2008

Podcast Episode 127: Rowing Across the Atlantic

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In 1896 two New Jersey clam diggers made a bold bid for fame: They set out to cross the North Atlantic in a rowboat, a feat that had never been accomplished before. In this week’s episode of the Futility Closet podcast we’ll follow the adventure of George Harbo and Frank Samuelsen, which one newspaper called “the most remarkable event in the way of ocean navigation that ever transpired.”

We’ll also meet some military mammals and puzzle over a thwarted burglar.

See full show notes …