Philip

In 1972 the Toronto Society for Psychical Research set out to create a ghost. They invented a character named Philip, an English nobleman from the 17th century, and tried to contact him through sittings in which they discussed his life, to see whether they could induce a “collective hallucination.”

When a year of this produced no results, they adopted the trappings of a more formal séance, introducing colored lights, singing songs, and reciting poetry while trying to conjure Philip’s spirit. After three or four of these sessions, surprisingly, “the group felt a vibration within the table top, somewhat like a knock or rap.”

Philip had, apparently, shown up. After some initial confusion, the group established a convention by which he could express himself — one rap meant yes, two meant no. And he was quite willing to talk:

‘Did you have your own regiment?’ Sid asked.

(Rap) ‘Yes.’

‘Were you wounded in the fighting?’

(Rap, rap) ‘No.’

‘I wonder which battles he fought in,’ Lorne asked. ‘Philip, did you fight at Naseby?’

(Rap, rap) ‘No.’

‘Did you fight at Marston Moor?’

(Rap) ‘Yes.’

‘I wonder what weapons they used?’ Al asked. ‘Did you use pikemen?’

(Rap) ‘Yes.’

‘Would they have had guns of any kind then?’ someone asked.

‘They would have had muskets,’ Lorne said.

(Immediate confirmatory rap) ‘Yes.’

That’s from Conjuring Up Philip, a 1976 account by Iris Owen, a member of the group. With time the rappings grew stronger, and the table would occasionally move around the room and even levitate. Owen wrote, “In addition to sliding across the floor (which incidentally was covered with a thick pile carpet), the table would tilt in various ways, lifting one, two, or three legs, and pivot, sometimes almost dancing.”

It’s hard to know what to make of this. On the one hand, most of Philip’s verbal communications were simply those that the group expected to receive. For example, he said that Charles I had loved cats but not horses or dogs; this isn’t historically accurate, but the questioner was a cat lover. Owen called Philip “a composite of [the group’s] own invented imaginations … a character born of their own desire to bring him as much to actuality as they could.”

But the physical tricks are harder to understand. The simplest explanation is that some in the group were deliberately creating the “supernatural” effects, a possibility that all strongly denied. Or perhaps the group really had stumbled into some sort of collective, or wishful, hallucination. Whatever the case, the whole episode shows that even supernatural explorations that are known to be groundless can produce convincingly “otherworldly” effects for a receptive audience. To that extent, Philip was a ghost who helped to disprove his own existence.

Alcohol Problem

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A bottle of fine wine normally improves with age for a while, but then goes bad. Consider, however, a bottle of EverBetter Wine, which continues to get better forever. When should we drink it?

— John L. Pollock, “How Do You Maximize Expectation Value?”, Noûs, September 1983

See The Devil’s Game.

Out of Sight

Several spherical planets of equal size are floating in space. The surface of each planet includes a region that is invisible from the other planets. Prove that the sum of these regions is equal to the surface area of one planet.

Click for Answer

Language Arts

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Johann David Steingruber fulfilled his literary ambitions on a drafting table — his Architectural Alphabet (1773) renders each letter of the alphabet as the floor plan of a palace.

Antonio Basoli’s Alfabeto Pittorico (1839) presents the letters as architectural drawings:

Perhaps next we can actually build them.

Unquote

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“It is the law of life that if you are kind to someone you feel happy. If you are cruel you are unhappy. And if you hurt someone, you will be hurt back.” — Cary Grant

“When I do good, I feel good. When I do bad, I feel bad. That’s my religion.” — Abraham Lincoln

“It all comes to this: the simplest way to be happy is to do good.” — Helen Keller

Agitato

A fight with a piano that came near proving disastrous to the greatest of pianists, occurred on shipboard wile Paderewski was on his way to New York a short time ago. Paderewski in his state room had a small upright piano on which to practice. It was fastened to the floor by means of bolts. On the opposite side of the room was the bed. In a heavy storm the piano was loosened by the rolling of the vessel. Straight it made for the pianist and crashed into his bed, nearly pinning him to the wall. Paderewski on reaching the floor rushed to the opposite side of the room. Instantly the piano followed, coming at him with great force. He dodged it, but it came at him again, being hurled about in the room by the rolling of the boat. The pianist tried to get out the door, but could not loosen the bolt and he was thus hemmed in with the tumbling piano which threatened to crush him to death at every second. There was nothing to do but wrestle with the instrument. He grasped it as it came toward him again and after lengthy struggle in which he was nearly exhausted, succeeded in binding it to the wall.

Popular Mechanics, 1902

Overtime

As a boy in Romania, György Ligeti had been enchanted with the story about a widow who lives in a house full of clocks. “Nobody comes, maybe for a hundred years,” he said. “Nothing happens. So there is a combination of movement, which is machine-like, and absolutely nothing … a timelessness … no beginning and no end.”

When he became a composer, Ligeti set out to capture this feeling with Poème symphonique for 100 metronomes. At a conductor’s signal, each of 10 players winds up 10 metronomes; after an interval, the conductor gives a second signal, at which the players set the metronomes running, each at a unique tempo, and the performers leave the stage.

As soon as some of the metronomes have run down, changing rhythmic patterns emerge, depending on the density of the ticking, until, at the end, there is only one, slowly ticking metronome left, whose rhythm is then regular. The homogeneous disorder of the beginning is called ‘maximal entropy’ in the jargon of information theory (and in thermodynamics). The irregular grid structures gradually emerge, and the entropy is reduced since previously unpredictable ordered patterns grow out of the opening uniformity. When only a single metronome is left ticking in a completely predictable manner, then the entropy is maximal again — or so the theory goes.

All this went right over the heads of the Holland audience for whom the piece debuted in 1963. “The last tick of the last metronome was followed by an oppressive silence,” Ligeti remembered. “Then there were menacing cries of protest,” and a planned television performance was canceled. Undaunted, Ligeti later altered the performance so that the metronomes were already running when the audience entered the concert hall, “so that the piece truly runs like a machine: metronomes and audience are confronted with each other without any human mediation.” “Radicalism and petit-bourgeois attitudes are not so far from one another,” he wrote. “Both wear the blinkers of the narrow-minded.”

Strategy

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When Franklin was negotiating in Paris, he sometimes went into a café to play at chess. A crowd usually assembled, of course to see the man rather than the play. Upon one occasion, Franklin lost in the middle of the game, when composedly taking the king from the board, he put him into his pocket, and continued to move. The antagonist looked up. The face of Franklin was so grave, and his gesture so much in earnest, that he began with an expostulatory, ‘Sir.’ ‘Yes, Sir, continue,’ said Franklin, ‘and we shall soon see that the party without a king will win the game.’

— From a letter by Frances Wright to Jeremy Bentham, relaying an anecdote from Lafayette, Sept. 12, 1821

Bad Behavior

You and I drive from Los Angeles to Las Vegas in separate cars. We depart simultaneously, and you stay always ahead of me, dutifully driving the speed limit throughout the trip. Nonetheless I get ticketed for speeding. How?

Click for Answer

The Parity Paradox

Consider a finite list of n statements:

S1: At least one of statements S1-Sn is false.
S2: At least two of statements S1-Sn is false.

Sn-1: At least n-1 of statements S1-Sn is false.
Sn: At least n of statements S1-Sn is false.

Is this a paradox? It depends: The statements form a self-consistent system if n is even, but not if it’s odd.

From Roy T. Cook’s new book Paradoxes — which is dedicated in part to “anyone whom I don’t discuss in this book.”