The Linda Problem

Linda is 31 years old, single, outspoken, and very bright. She majored in philosophy. As a student, she was deeply concerned with issues of discrimination and social justice, and also participated in anti-nuclear demonstrations.

Which of the following two alternatives is more probable?

1. Linda is a bank teller.
2. Linda is a bank teller and active in the feminist movement.

Rationally, statement 2 cannot be more likely than statement 1, but in a 1983 study by Amos Tversky and Daniel Kahneman, fully 85 percent of respondents said that it was.

Why this happens is a matter of some debate. Tversky and Kahneman argued that in making this kind of judgment we seek the closest resemblance between causes and effects (here, between Linda’s personality and her behavior), rather than calculating probability, and that this makes statement 2 seem preferable.

Melting Beauty

http://books.google.com/books?id=bbURAAAAYAAJ&printsec=frontcover#v=onepage&q&f=false

Left: a basket of roses made of butter, by Frederick Nicholson, general manager of the Sussex Dairy Company, Brighton. “At one exhibition at which this basket was shown, several ladies and others stooped down to smell the flowers, quite thinking they were looking at a basket of real, yellow roses.”

Right: A dahlia and roses made of lard. “The dahlia … has sixty-two petals, each one of which has to be fashioned separately and then frozen, before the flower can be built up. It seems it is far more difficult to make flowers out of lard than out of butter, on account of the former substance being much softer and more oily. Mr. Nicholson says it takes him three minutes to make a rose-bud; four minutes to make a tuberose; five minutes to make an arum lily; six minutes to make a full-blown rose, and no less than three-quarters of an hour to make a dahlia.”

(From Strand, February 1898)

Unquote

“The mind is at its best when at play.” — J.L. Synge

In this spirit, Synge invented Vish (for “vicious circle”), a game designed to illustrate the hopeless circularity of dictionary definitions.

Each player is given a copy of the same dictionary. When the referee announces a word, each player writes it down and looks up its meaning. Then she chooses one word from the definition, writes that down and looks up its meaning. A player wins when the same word appears twice on her list.

The point is that any such list must eventually yield circularity — if it’s continued long enough, the number of words in the list will eventually exceed the total number of words in the dictionary, and a repetition must occur.

“Vish is no game for children,” Synge writes. “It destroys that basic confidence in the reasonableness of everything which gives to society whatever stability it possesses. To anyone who has played Vish, the dictionary is never the same again.”

Heist

At Amsterdam, in a street called the Wood Market, recently lived a man who was curious in keeping fowls. One of his hens, though in the midst of summer, had several days stopped yielding her usual produce, and yet made her usual cackling; he searched the nest, but could not find even the shell of an egg, which made him resolve to watch her closely. He accordingly, the next day, placed himself in such a situation as to be able to observe her motions minutely; when, to his great surprise, he saw her discharge her egg; but no sooner was she off the nest, than three rats made their appearance. One of them immediately laid himself on his back, whilst the others rolled the egg upon his belly, which he clasped between his legs, and held it firm; the other two laid hold of his tail, and gently dragged him out of sight. This wonderful sagacity was exhibited for several days to some curious observers.

— London Globe, quoted in The Retrospective Review, 1826

The Final Exam

http://commons.wikimedia.org/wiki/File:Ten_Commandments_by_A.Losenko_(%3F).jpg

“The Ten Commandments should be treated like an examination. Only six need to be attempted.” So said Bertrand Russell, allegedly.

“I have a variant,” wrote J.E. Littlewood. “As a Pure mathematician I can’t be expected to do the Applied ones. Interpreting No. 1 to mean what it says in logic, I should be prepared to do the Pure ones. No. 2 is a sitter, No. 3 would take some initial caution, but worth it with the reward of full marks. It is good mental hygiene to take Sunday off, and I could throw in this Applied question. Nos. 5 to 10 are applied. Actually my parents are dead so No. 6 is a walk-over. And I should be disappointed if I didn’t get full marks on the applied 9 and 10.”

“A Strange Bird”

Yesterday, at about five o’clock in the afternoon, when the daily labours in this mine were over, and all the workmen were together awaiting their supper, we saw coming through the air, from the side of the ternera, a gigantic bird, which at first sight we took for one of the clouds then partially darkening the atmosphere, supposing it to have been separated from the rest by the wind. Its course was from north-west to south-east; its flight rapid and in a straight line. As it was passing a short distance above our heads we could mark the strange formation of its body. Its immense wings were clothed with a grayish plumage, its monstrous head was like that of a locust, its eyes were wide open and shone like burning coals; it seemed to be covered with something resembling the thick and stout bristles of a boar, while on its body, elongated like that of a serpent, we could only see brilliant scales, which clashed together with a metallic sound as the strange animal turned its body in its flight.

— “Copiapo (Chili) paper,” quoted in The Zoologist, July 1868

A World Away

http://en.wikipedia.org/wiki/File:Tematangi.jpg

The Tematangi atoll in French Polynesia is on the opposite side of the world from Mecca.

This makes the qibla, or Muslim direction of prayer, strangely sensitive in this region. Muslims on neighboring islands who are praying toward Mecca may find themselves facing in markedly different directions.

Crazy Like a Fox

When bootlegger George Remus shot his wife in Cincinnati’s Eden Park in 1927, he claimed temporary insanity and a jury found him not guilty.

When the prosecution then insisted he be committed to an institution, he declared he was sane — as they themselves had just argued. An appeals court set him free.

“The decision is so farcical, such a joke,” he said, “that it makes a sane person laugh.”