For the Record

When a tornado struck Mayfield, Ohio, in 1842, Western Reserve College mathematician Elias Loomis noticed that several fowl had been picked almost clean of their feathers. To find out what wind velocity could accomplish this, he charged a cannon with 5 ounces of gunpowder and inserted a freshly killed chicken in place of a ball:

As the gun was small, it was necessary to press down the chicken with considerable force, by which means it was probably somewhat bruised. The gun was pointed vertically upwards and fired; the feathers rose twenty or thirty feet, and were scattered by the wind. On examination they were found to be pulled out clean, the skin seldom adhering to them. The body was torn into small fragments, only a part of which could be found. The velocity is computed at five hundred feet per second, or three hundred and forty one miles per hour. A fowl, then, forced through the air with this velocity, is torn entirely to pieces; with a less velocity, it is probable most of the feathers might be pulled out without mutilating the body.

“If I could have the use of a suitable gun I would determine this velocity by experiment,” he ended. “It is presumed to be not far from a hundred miles per hour.”

(Elias Loomis, “On a Tornado Which Passed Over Mayfield, Ohio, February 4th, 1842,” American Journal of Science 43:2 [July-September 1842], 278-301.)

The Paradox of the Just Law

How can a just law have a claim on our obedience? Murder is wrong, regardless of what the law says about it; we expect people to refrain from murder because it’s wrong, not because it’s prohibited or punished. I’d be offended if someone suggested that it’s only respect for the law that’s restraining me from committing murder. But this suggests that we don’t have an obligation to obey laws that prohibit murder — a morally conscientious person should never find himself obliged to submit to them.

“The more just and valuable the law is … the more reason one has to conform to it, and the less to obey it,” writes legal philosopher Joseph Raz. “Since it is just, those considerations which establish its justice should be one’s reasons for conforming with it, i.e., for acting as it requires. But in acting for these reasons one would not be obeying the law, one would not be conforming because that is what the law requires.”

(Note, though, that Raz says the paradox is only apparent — see his full paper here.)

(Scott Hershovitz, “The Authority of Law,” in Andrei Marmor, ed., The Routledge Companion to Philosophy of Law, 2012.)

Shared Birthdays

Famously, in a group of 23 randomly chosen people, the chance is slightly higher than 50 percent that two will share a birthday.

In 2014, James Fletcher considered the birth dates of players in the World Cup, who were conveniently organized into squads of 23 people each. He found that 16 of the 32 squads had at least one shared birthday. If data from 2010 World Cup was included, 31 of 64 squads had shared birthdays, still quite close to 50 percent.

If a group numbers 366 people, the probability of a shared birthday is 100 percent (neglecting leap years). But to reach 99 percent certainty we need only 55 people. “It is almost unbelievable that such a small difference between the probabilities 99% and 100% can lead to such a big difference between the numbers of people,” writes Gabor Szekely in Paradoxes in Probability Theory and Mathematical Statistics (1986). “This paradoxical phenomenon is one of the main reasons why probability theory is so wide-ranging in its application.”

Justified Killing

Self-defense is widely accepted as a valid reason to use deadly force. But why is it valid? Most other kinds of killing arouse strong moral and political controversy: capital punishment, abortion, euthanasia, suicide, war, even the killing of animals. But debates about self-defense tend to accept its basic legitimacy. Even those who oppose national self-defense as a justification for war may accept the same principle in a conflict between individuals.

“Not only is self-defense uniquely uncontroversial as a form of killing, but the lack of controversy persists despite the absence of any plausible account as to why it is justified,” writes philosopher Whitley R.P. Kaufman in Justified Killing (2009). “The strength and unanimity with which the assumption that killing in self-defense is morally and legally permissible is held suggest that there must be some powerful and persuasive rationale justifying such killing. But if there is such a rationale, moral philosophy has yet to find it.”

Slow Burn

Australia’s Mount Wingen has been burning for 6,000 years. A lightning strike or brush fire ignited a coal seam there around 4000 B.C., and it’s been smoldering ever since.

“Smoldering fires, the slow, low-temperature, flameless form of combustion, are an important phenomena in the Earth system, and the most persistent type of combustion,” University of Edinburgh fire scientist Guillermo Rein told the New York Times. “The most important fuels involved in smoldering fires are coal and peat. Once ignited, these fires are particularly difficult to extinguish despite extensive rains, weather changes or firefighting attempts, and can persist for long periods of time (months, years), spreading deep (5 meters) and over extensive areas of forest subsurface. Indeed, smoldering fires are the longest continuously burning fires on Earth.”

The Mount Wingen fire holds the Guinness record for the longest-burning fire in the world.

Podcast Episode 354: Falling Through a Thunderstorm

https://pixabay.com/photos/lightning-thunderstorm-super-cell-2568381/

In 1959, Marine pilot William Rankin parachuted from a malfunctioning jet into a violent thunderstorm. The ordeal that followed is almost unique in human experience. In this week’s episode of the Futility Closet podcast we’ll describe Rankin’s harrowing adventure, which has been called “the most prolonged and fantastic parachute descent in history.”

We’ll also hear your thoughts on pronunciation and puzzle over mice and rice.

See full show notes …

The Queens Giant

https://commons.wikimedia.org/wiki/File:The_Queens_Giant_in_2013.jpg
Image: Wikimedia Commons

The oldest living thing in the New York metropolitan area is this 40-meter tulip poplar in Alley Pond Park in Queens.

With an estimated age of 350 to 450 years, it may already have been growing when Henry Hudson sailed into New York Bay in 1609.

The Picnic

We’re giving out apples to a group of boys. If we distribute the entire supply, then every boy will get three, except for one, who will get two. If instead we give each boy two apples, then we’ll have eight apples left over. How many apples are there altogether?

Click for Answer