I am an American. I say this with no overtones of pride or regret. It is simply a statement of fact. I was born in Boston, Massachusetts in 1942 and grew up in Los Angeles, California. I have been living in Brussels, Belgium since 1974.
The reason I mention all this is because being an American living abroad, I am considered to be somewhat of an expert on the United States, its history, its laws, its customs, etc. I am frequently solicited by my non-American friends and acquaintances to explain something they have recently heard about this wondrous country across the ocean because they simply don’t have the background to understand it. I say this sheepishly because Europeans know more about my native country than most people in my native country know about theirs. They also care more about my native country than most people in my native country care about theirs.
A key element in things they have heard about the United States in recent years (particularly since the advent of Donald J. Trump) has to do with the vaunted U.S. Constitution, officially known as the Constitution of the United States of America.
Continue reading The Constitution of the United States of America—Extraordinary Ordinary Things￼
A major hit song of the 1960s, in fact, now considered to be a classic, is Roger Miller’s 1966 rendition of “King of the Road,” lauding the freedom of being a drifter, working only when necessary, and constantly moving on. Everything leads the listener to believe the singer is an honest person with minimal wants and needs. However, at one point he informs us:
I know every engineer on every train
All of the children and all of their names
Every handout in every town
Every lock that ain't locked when no one's around.
The last line appears quite ambiguous. I have never quite understood how to interpret it because it seems so out of character with the rest of the song. I would really like to know.
However, what is certainly not ambiguous or open to question is the important roles the lock has played in defining and shaping human society. Indeed, for some, it is virtually the quintessential dividing line between city folks, i.e. those who lock their doors, often with multiply locks, for fear of unwanted intrusions, and country folk, i.e. those who don’t lock their doors because they feel there is no need to. “Everyone knows everyone, so we are certain no one is going to do anyone any harm.”
Continue reading The Lock—Extraordinary Ordinary Things
A Simple Conjecture
The Collatz conjecture is an unsolved mathematical riddle posed by German mathematician Lothar Collatz in 1937. It remains a mystery to this day. Why has it temped so many mathematicians over so many years and yet remained unsolved? It is especially exasperating because it is so simple. The question is, “Is it even computable?” If not, then mathematicians and computer scientists should stop trying.
Continue reading The Collatz Mystery
I once described the image of a typical young American child as holding a balloon in one hand and a melting ice cream cone in the other. Instead of a young child, the picture could also show (and probably more accurately) an adult holding a cup of coffee in one hand and a doughnut in the other.
Iconically American (like the French croissant), the doughnut today is known and appreciated around the world (also like the croissant). As with many iconic things, the doughnut is the subject of considerable controversy, not the least of which is: Should the correct spelling of the name be “doughnut” or “donut”? More fundamentally, when is a doughnut truly a doughnut and when is it something else?
Continue reading The Doughnut—Extraordinary Ordinary Things