“A Man His Own Grandfather”

The following remarkable coincidence will be read with interest: Sometime since it was announced that a man at Titusville, Pennsylvania, committed suicide for the strange reason that he had discovered that he was his own grandfather. Leaving a dying statement explaining this singular circumstance, we will not attempt to unravel it, but give his own explanation of the mixed-up condition of his kinsfolk in his own words. He says, ‘I married a widow who had a grown-up daughter. My father visited our house very often, fell in love with my stepdaughter, and married her. So my father became my son-in law, and my step-daughter my mother, because she was my father’s wife. Some time afterwards, my wife gave birth to a son; he was my father’s brother-in-law, and my uncle, for he was the brother of my step-mother. My father’s wife — i.e. my step-daughter — had also a son; he was, of course, my brother, and in the mean time my grandchild, for he was the son of my daughter. My wife was my grandmother, because she was my mother’s mother. I was my wife’s husband and the grandchild at the same time. And as the husband of a person’s grandmother is his grandfather, I was my own grandfather.’ After this logical conclusion, we are not surprised that the unfortunate man should have taken refuge in oblivion. It was the most married family and the worst mixed that we ever heard of. To unravel such an entangling alliance could not have resulted otherwise than in an aberration of mind and subsequent suicide.

Littell’s Living Age, May 9, 1868

(Yes, I know about the song!) (Thanks, Dave.)

Time and Chance

A bit more on philosophy and time travel: It seems consistent to suppose that a time traveler can affect the past but not change it. Perhaps I will invent a time machine tomorrow and race heroically back to 1865 to save Lincoln from John Wilkes Booth. I might arrive at Ford’s Theater and race up to Lincoln’s box; I might even wrestle dramatically with Booth in the hallway. But we know in advance that I won’t be successful, because history tells us that Booth did shoot Lincoln that night.

This way of looking at it entails no paradoxes, but it does create a problem. If time travel is possible then presumably hundreds of well-intentioned time travelers converged on Lincoln’s box that night, all determined to save the president and all somehow slipping on banana peels at the wrong moment. This is not impossible, but it seems terrifically unlikely — so much so that the very fact of Lincoln’s death seems to imply that time travel is not possible.

But University of Sydney philosopher Nicholas J.J. Smith points out that we don’t quite know this: A time machine may be invented a century from now with a backward range of only 50 years. In that case we have no experience from which to judge these matters. “One cannot conclude from the supposition that local backward time travel would bring with it what we ordinarily regard as improbable coincidences, that such time travel will occur only rarely: for the only reason we regard the events in question as improbable coincidences is that within our experience, they have not occurred very often — and our experience does not (apparently) encompass backward time travel.”

(Nicholas J.J. Smith, “Bananas Enough for Time Travel?”, The British Journal for the Philosophy of Science, September 1997.)

Math Notes

From a 1951 issue of The Dark Horse, the staff magazine of Lloyds Bank, a bitter mnemonic for pi:

Now I live a drear existence in ragged suits
And cruel taxation suffering.

3.141592653589

Also, a curiosity:

(3,1,4) = (1,5,9) + (2,6,5) (mod 10)

(Thanks, Trevor.)

In a Word

advolution
n. a rolling toward

“The ball was my idea,” said Steven Spielberg of the boulder that threatens Indiana Jones at the start of Raiders of the Lost Ark. “I don’t even know where I came up with it — it might have been deeply in my subconscious from something I saw when I was a kid — but I just said, ‘You know, at some point some huge boulder should start chasing Indy, and it almost squashes him three or four times until he gets out of the cave.'”

The scene was shot 10 times, with the crew replacing fallen stalactites each time. “I didn’t know it was gonna look as good as it did until the day [production designer] Norman Reynolds showed me that he had actually made a boulder that was something like 22 feet in circumference,” Spielberg said. “So I didn’t have Harrison step in the shot until I was completely convinced it was safe. Once we’d rehearsed it several times with a stuntman, Harrison did every shot himself.”

When Spielberg, George Lucas, and screenwriter Lawrence Kasdan had met in January 1978 to brainstorm ideas, it was quickly clear that Lucas already had an articulate vision of the story. At one point Kasdan asked Lucas why he didn’t direct the film himself. He said, “Because then I’d never get to see it.”

(From J.W. Rinzler, The Complete Making of Indiana Jones, 2008.)

Square Deal

square regions puzzle

This unit square is divided into four regions by a diagonal and a line that connects a vertex to the midpoint of an opposite side. What are the areas of the four regions?

Click for Answer

Podcast Episode 38: The Thunder Stone

http://commons.wikimedia.org/wiki/File:Thunder_Stone.jpg

In 1768, Catherine the Great ordered her subjects to move a 3-million-pound granite boulder intact into Saint Petersburg to serve as the pedestal for a statue of Peter the Great. In this episode of the Futility Closet podcast we’ll learn how some inspired engineering moved the Thunder Stone 13 miles from its forest home to Senate Square, making it the largest stone ever moved by man.

We’ll also learn whether mutant squid are attacking Indiana and puzzle over why a stamp collector would be angry at finding a good bargain.

See full show notes …