“When we go up to the shelves in the reading-room of the British Museum, how like it is to wasps flying up and down an apricot tree that is trained against a wall, or cattle coming down to drink at a pool!” — Samuel Butler, Notebooks, 1912
Author: Greg Ross
Russell’s Decalogue
In a 1951 article in the New York Times Magazine, Bertrand Russell laid out “the Ten Commandments that, as a teacher, I should wish to promulgate”:
- Do not feel absolutely certain of anything.
- Do not think it worthwhile to produce belief by concealing evidence, for the evidence is sure to come to light.
- Never try to discourage thinking, for you are sure to succeed.
- When you meet with opposition, even if it should be from your husband or your children, endeavor to overcome it by argument and not by authority, for a victory dependent upon authority is unreal and illusory.
- Have no respect for the authority of others, for there are always contrary authorities to be found.
- Do not use power to suppress opinions you think pernicious, for if you do the opinions will suppress you.
- Do not fear to be eccentric in opinion, for every opinion now accepted was once eccentric.
- Find more pleasure in intelligent dissent than in passive agreement, for, if you value intelligence as you should, the former implies a deeper agreement than the latter.
- Be scrupulously truthful, even when truth is inconvenient, for it is more inconvenient when you try to conceal it.
- Do not feel envious of the happiness of those who live in a fool’s paradise, for only a fool will think that it is happiness.
“The essence of the liberal outlook in the intellectual sphere is a belief that unbiased discussion is a useful thing and that men should be free to question anything if they can support their questioning by solid arguments,” he wrote. “The opposite view, which is maintained by those who cannot be called liberals, is that the truth is already known, and that to question it is necessarily subversive.”
All’s Fair
History’s ancient example of camouflage, the Trojan Horse, has a modern variation of peculiar interest. During the fighting near Craonne on the western front, some time ago, a horse broke his traces and dashed across ‘No Man’s Land’ toward the German defenses. When near the edge of a first-line trench he fell. The French immediately made the best of the opportunity and set camouflage artists at work fashioning a papier-mâché replica of the dead animal. Under cover of darkness the carcass was replaced with the dummy. For three days observers stationed in the latter were able to watch the enemy’s movements at close range and telephone their information to headquarters. Finally, when one observer was relieving another, the Germans discovered they had been tricked, and destroyed the post.
— “Observer Hides in Dummy Horse Near Enemy Trench,” Popular Mechanics 29:1 (January 1918), 72.
On another occasion, a standing tree, whose branches had all been shot away, was carefully photographed and an exact copy of it made, but with a space inside in which an observer could be concealed. One night, while the noise of the workmen was drowned by heavy cannonading, this tree was replaced by its facsimile. And there it remained for many a day before the enemy discovered that it was a fake tree-trunk. It provided a tall observation-post from which an observer could direct the fire of his own artillery.
— A. Russell Bond, “Warriors of the Paint-Brush,” St. Nicholas 46:6 (April 1919), 499-505.
Twice True
SEVEN PLUS TWO = EIGHTEEN MINUS NINE = EIGHTEEN OVER TWO
That’s true enough on its face. But Susan Thorpe discovered that if each letter is replaced with the number of its position in the alphabet (A=1, B=2, etc.), then the equivalence persists — the values in each of the three phrases total 191.
(Susan Thorpe, “Number Name Equations,” Word Ways 30:1 [February 1997], 34-36.)
10/25/2020 UPDATE: Reader Jacob Bandes-Storch has found many more of these:
SIX OVER TWO PLUS TEN (277)
= FOUR MINUS ONE PLUS TEN (277)
= EIGHT OVER TWO PLUS NINE (277)
= ONE PLUS FIVE PLUS SEVEN (277)
= TWENTY SIX OVER TWO (277)
ONE PLUS ONE PLUS TWELVE (291)
= ONE PLUS TWO PLUS ELEVEN (291)
= TWO PLUS TWO PLUS TEN (291)
= FIFTEEN OVER THREE PLUS NINE (291)
= EIGHT MINUS THREE PLUS NINE (291)
FIFTEEN OVER THREE PLUS ELEVEN (312)
= EIGHT MINUS THREE PLUS ELEVEN (312)
= TWELVE OVER TWO PLUS TEN (312)
= ELEVEN MINUS THREE PLUS EIGHT (312)
FIFTEEN PLUS FORTY THREE = TWENTY NINE TIMES TWO = SEVENTY MINUS TWELVE (273)
THIRTEEN PLUS FIFTY SIX = TWENTY THREE TIMES THREE = EIGHTY EIGHT MINUS NINETEEN (285)
NINETEEN PLUS FIFTY THREE = THIRTY SIX TIMES TWO = SEVENTY THREE MINUS ONE (276)
TWO PLUS SEVENTY THREE = ONE HUNDRED FIFTY OVER TWO = NINETY THREE MINUS EIGHTEEN (292)
SEVENTEEN PLUS FIFTY EIGHT = ONE HUNDRED FIFTY OVER TWO = NINETY THREE MINUS EIGHTEEN (292)
FORTY PLUS FORTY FIVE = TWENTY EIGHT TIMES THREE = NINETY SIX MINUS ELEVEN (278)
TWO PLUS NINETY SEVEN = THIRTY THREE TIMES THREE = ONE HUNDRED FIVE MINUS SIX (also 278)
He says he hasn’t found any quadruplets where each phrase uses a single function and all are different, but this may yet be possible. (Thanks, Jacob.)
Podcast Episode 307: The Cyprus Mutiny
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In 1829 a group of convicts commandeered a brig in Tasmania and set off across the Pacific, hoping to elude their pursuers and win their freedom. In this week’s episode of the Futility Closet podcast we’ll describe the mutineers of the Cyprus and a striking new perspective on their adventure.
We’ll also consider a Flemish dog and puzzle over a multiplied Oscar.
Voting With One’s Feet
The paved walkways in Ohio State University’s central Oval were not laid at the university’s founding — rather, as the campus buildings were erected in the early 20th century, students began to wear natural paths in the grass as they made their way to the most popular destinations, and these paths informed the modern pattern of paved walks.
Such routes are known as “desire paths” — urban planners will sometimes study the tracks in new-fallen snow to understand where foot traffic naturally “wants” to go.
A Bimagic Queen’s Tour
A queen’s tour is the record of a chess queen’s journey around an empty board in which she visits each of the squares once. If the squares are numbered by the order in which she visits them, then the resulting square is magic if the numbers in each rank and file sum to the same total. It’s bimagic if the squares of these numbers also produce a consistent total.
William Walkington has just found the first bimagic queen’s tour, which also appears to be the first bimagic tour of any chess piece. (William Roxby Beverley published the first magic knight’s tour in The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science in 1848.)
Note that here the long diagonals don’t produce the magic sum, as they would in a magic square. This constraint is normally dropped in a magic tour — in fact, of the 140 magic knight tours possible on an 8×8 board, none have two long magic diagonals, and no bimagic queen’s tour with qualifying diagonals is possible on such a board either.
More details, and an interesting description of the search, are on William’s blog. He has been told that a complete list of such bimagic queen’s tours is within reach of a computer search, though the field is daunting — there are more than 1.7 billion essentially different semi-bimagic squares possible on an 8×8 board, and each allows more than 400 million permutations.
The Isolator
Irritated with distractions in his editorial work, Hugo Gernsback designed a helmet “to do away with all possible interferences that prey on the mind”:
The first helmet constructed as per illustration was made of wood, lined with cork inside and out, and finally covered with felt. There were three pieces of glass inserted for the eyes. In front of the mouth there is a baffle, which allows breathing but keeps out the sound. The first construction was fairly successful, and while it did not shut out all the noises, it reached an efficiency of about 75 per cent. The reason was that solid wood was used.
In a later version he omitted the wood and added an air space between layers of cotton and felt, achieving an efficiency of 90 to 95 percent. Even the eyepieces are black except for a single slit, to prevent the eyes from wandering. “With this arrangement it is found that an important task can be completed in short order and the construction of the Isolator will be found to be a great investment.”
(He even designed an ideal office, with a soundproof door, triple-paned windows, and felt-filled walls, in which to wear this — see the illustration at the link below.)
(Hugo Gernsback, “The Isolator,” Science and Invention 13:3 [July 1925], 214ff.)
Memorial
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The Anthem Veterans Memorial, in Anthem, Arizona, consists of five white pillars representing the Army, Marine Corps, Navy, Air Force, and Coast Guard. Each pillar contains a slanted elliptical opening, and the five are arranged so that at 11:11 a.m. on Veterans Day, November 11, the sun’s light passes through all five and illuminates the Great Seal of the United States, which is inlaid among 750 red paving stones engraved with the names of veterans.
https://www.youtube.com/watch?v=euiFY-RxeRE
Inside Business
A puzzle from MIT Technology Review, September-October 1999: A popular pastime at Bell Labs in the 1970s was to identify a word that contains a given string of letters — for example, OOKKEE is found in BOOKKEEPER. Michael Foster found English words that contain HIPE, HCR, and UFA. What are they?