“Logic”

Cries logical Bobby to Ned, will you dare
A bet, which has most legs, a mare, or no mare.
A mare, to be sure, replied Ned, with a grin,
And fifty I’ll lay, for I’m certain to win.
Quoth Bob, you have lost, sure as you are alive,
A mare has but four legs, and no mare has five.

The Panorama of Wit, 1809

Ball Juggling

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Image: Wikimedia Commons

In a solar eclipse, the moon casts its shadow on Earth. In a lunar eclipse, Earth casts its shadow on the moon.

Solar eclipses are more common than lunar eclipses, but we tend to have the opposite impression. Why?

Click for Answer

Wife and Limb

‘Late one evening a person came into our office, and asked to see the editor of the Lancet. On being introduced to our sanctum, he placed a bundle upon the table, from which he proceeded to extract a very fair and symmetrical lower extremity, which might have matched ‘Atalanta’s better part,’ and which had evidently belonged to a woman. ‘There!’ said he, ‘is there anything the matter with that leg? Did you ever see a handsomer? What ought to be done with the man who cut it off?’ On having the meaning of these interrogatories put before us, we found that it was the leg of the wife of our evening visitor. He had been accustomed to admire the lady’s leg and foot, of the perfection of which she was, it appeared, fully conscious. A few days before, he had excited her anger, and they had quarrelled violently, upon which she left the house, declaring she would be revenged on him, and that he should never see the objects of his admiration again. The next thing he heard of her was, that she was a patient in ——– Hospital, and had had her leg amputated. She had declared to the surgeons that she suffered intolerable pain in the knee, and had begged to have the limb removed — a petition the surgeons complied with, and thus became the instrument of her absurd and self-torturing revenge upon her husband!’

From Paul Fitzsimmons Eve, A Collection of Remarkable Cases in Surgery, 1857, quoting the Lancet, 1850. “The case seems to us highly improbable,” writes Eve, “but the Lancet, it will be perceived, is responsible for it.”

A New Start

The Spanish village of Bérchules celebrates New Year’s Day in August. In 1994 a power failure left the villagers unable to join the traditional countdown on Dec. 31, so they moved it to the first Saturday in August.

It’s all arbitrary anyway. “New Year’s is a harmless annual institution,” wrote Mark Twain in the Territorial Enterprise, “of no particular use to anybody save as a scapegoat for promiscuous drunks, and friendly calls, and humbug resolutions, and we wish you to enjoy it with a looseness suited to the greatness of the occasion.”

“Singular Occurrence”

On Thursday morning one of those extraordinary beings who gain a precarious subsistence by penetrating into the sewers in search of coin or other valuables that may be washed into them from the drains was taken out of the main-sewer in Broad-street, Golden-square, in a very exhausted state, having been 36 hours and upwards endeavouring to find his way out, which, from having advanced further than was his custom to recover some silver that had been accidentally dropped down a grating near the Seven Dials, he was unable to accomplish. Fortunately, the poor fellow’s cries were heard by Mr. Tickle, cheesemonger, at the corner of Berwick-street, Broad-street, opposite whose door there is a manhole, which he had contrived to ascend, and, assistance being procured, he was liberated. Some compassionate persons supplied him with soup, &c., which speedily restored him.

Globe, reprinted in the Times, April 1, 1848

Gray Area

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A legal conundrum from Jonathan Swift and Alexander Pope’s Memoirs of Martinus Scriblerus (1741): Sir John Swale bequeaths to Matthew Stradling “all my black and white Horses.” Sir John has six black, six white, and six pied horses. Should Stradling get the pied ones?

On the one hand, “Whatever is Black and White, is Pyed, and whatever is Pyed is Black and White; ergo, Black and White is Pyed, and, vice versa, Pyed is Black and White.”

On the other, “A pyed Horse is not a white Horse, neither is a pyed a black Horse; how then can pyed Horses come under the Words of black and white Horses?”

Perhaps this will help — a proof that all horses are the same color, condensed from Joel E. Cohen, “On the Nature of Mathematical Proofs,” Opus, May 1961, from A Random Walk in Science:

It is obvious that one horse is the same colour. Let us assume the proposition P(k) that k horses are the same colour and use this to imply that k+1 horses are the same colour. Given the set of k+1 horses, we remove one horse; then the remaining k horses are the same colour, by hypothesis. We remove another horse and replace the first; the k horses, by hypothesis, are again the same colour. We repeat this until by exhaustion the k+1 sets of k horses have each been shown to be the same color. It follows then that since every horse is the same colour as every other horse, P(k) entails P(k+1). But since we have shown P(1) to be true, P is true for all succeeding values of k, that is, all horses are the same colour.

It’s a Living

In the nightly programme of performances at Sanger’s Circus, in the Agricultural-hall, is set down ‘The renowned Professor Palmer, as the Fly Man, performing marvellous feats of walking a glass ceiling.’ The professor has invariably walked the ceiling after fly-fashion successfully, but on Monday night he met with an accident which for the moment appalled the audience. The glass ceiling is composed of a piece of plate glass about 50ft. long by 20ft. wide, enclosed in a wooden framework. It is fixed at a distance of about 80ft. or 90ft. from the ground, and some 30ft. below it a net is spread to receive the professor in case of accident. On Monday evening the professor had taken his place on the ceiling, his feet being bound up in what appeared to be india-rubber, and commenced to walk, head downwards, on the glass, leaving on the latter as he lifted each foot a mark as if some glutinous substance had been applied to it. The utmost silence prevailed in the hall as he continued his perilous walk along the narrow glass, and all went well with him until within a couple of feet of the end of his journey, when by mistake he placed a portion of his foot upon the wooden frame instead of on the glass. His body immediately trembled violently, as if suction was the power which held him to the glass, and he struggled hard to keep up the weight of his body, which was now suspended from the glass by only one foot. His face, which up to this moment was very red, became pale, and in an instant the audience was shocked at seeing him fall head foremost towards the ground. The women turned their heads, and were afraid to look again at the spot, until a cheer reassured them. Palmer fell just on the border of the netting, which might well be of greater width. He came upon the back of his head, and having coiled his body into the shape of a ball, wriggled himself out of the net, and reached the ground by means of a rope ladder. Several gentlemen rushed from the front and second seats into the arena and shook hands with the professor, who then retired. He was called out again, and warmly applauded when he appeared in the circus, but he did not finish the performance.

Times, Jan. 31, 1868