Archive for the 'Birthdays' Category

Blogpost in October: 100 Years to Heaven

dylanOne hundred years ago today, in a back room on the second floor of a middle class row home in the Welsh city of Swansea, Dylan Thomas issued his first demand for the world’s attention. His cries, I feel sure, struck onlookers as both profoundly expressive and infuriatingly difficult to understand. It was a schtick he spent 39 years refining.

I believe that Thomas at his best was the finest lyric poet ever to write in English, and at his worst a pretentious windbag. The best is more than ample compensation for the worst. At age 12, he won a prize for a poem he’d submitted to a children’s magazine, and as an adult he kept a copy of that poem, cut from the magazine, pasted to his bathroom mirror. Only after he died did some literary detective discover that Thomas had plagiarized the poem. But before he was out of his teens, he wrote the superb and brilliantly original “I See the Boys of Summer”, which I am quite sure nobody else could have conceived or executed.

Because this is Thomas’s birthday, and because every blogger is entitled to an occasional bit of self-indulgence (how else could you explain Bob Murphy’s karaoke posts?), I present here a recital of the best of Thomas’s several birthday poems. For balance, you’ll find below the cut a recital of Thomas’s finest death poem (no, it’s not “Do Not Go Gentle”), and two more of my favorites on the recurrent Thomas themes of birth and the passage of time.

(Related: My 90th/96th birthday appreciation.)

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Happy Birthday, Baby Seven Billion

baby7Happy birthday to our 7 billionth fellow earthling, who, according to most estimates, is due to be born today.

Welcome to the earth. Congratulations on being born in the 21st century, where the odds are excellent that you’ll live a richer, more prosperous and more fulfilling life than almost any of the 100 billion or so who preceded you — and paved the way for your prosperity with their investments and their inventions. Would that there had been more of them.

As you go through life, you will almost assuredly contribute to the world’s stock of ideas, diversity and love in ways your parents never contemplated — which is why the rest of us are a little sad that you might be their last child.

There’s certainly such a thing as a population that’s too large. Nobody disputes that. The interesting question is: Given the incentives faced by parents, it the population size we actually get too large or too small? And there are good reasons to think it’s too small.

In fact, population growth is a lot like pollution in reverse. Polluters don’t care about the damage they impose on strangers, so they pollute too much. Parents and potential parents don’t care about they joy and prosperity their chidren bring to strangers, so they reproduce too little.

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Beauty, Truth and Symmetry

galoisToday is the 200th birthday of Evariste Galois, who did not live to celebrate his 21st, but found time in his short 20 years to develop a circle of ideas that permeate modern mathematics. We know of these ideas because Galois spent the night of May 30, 1832 scribbling them furiously in a letter to a friend, in advance of the fatal duel he would fight the following morning. According to the great mathematician Hermann Weyl, “This letter, if judged by the novelty and profundity of ideas it contains, is perhaps the most substantial piece of writing in the whole literature of mankind.”

(If this were a less serious post, I might suggest that this famous letter was the first example of a Galois Correspondence.)

Now, two centuries later, every first year graduate student in mathematics spends a semester studying Galois Theory, and many devote their subsequent careers to its extensions and applications. Many of the greatest achievements of modern mathematics (for example, the solution to Fermat’s Last Theorem) are, at their core, elucidations of Galois’s 200-year-old insight.

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Happy Birthday

twoMathOverflow turns two years old this week — a milestone in the transformation of mathematical research into a massively collaborative endeavor. It’s happening on blogs, it’s happening on mailing lists, and it’s happening in a big way on MathOverlow, where mathematicians ask and answer the sorts of questions that might come up in the faculty lounge — if the faculty lounge were populated by hundreds of experts pooling their expertise.

If you’re interested in mathematics at the research level, MathOverflow is a place to learn something new and fascinating every single day. (If you are not doing mathematics at a research level, feel free to read but please don’t feel free to join the fray; questions at anything below about a second-year graduate level should be directed to MathStackExchange, another massively collaborative site aimed, roughly, at the college level — which reminds me that it’s not just mathematical research, but also mathematical education, that is being revolutionized before our eyes.)

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The Art of Abstraction

enToday is the birthday of the magnificent Emmy Noether, known as the “mother of modern algebra”, and one of my mathematical heroes. She is one of the few mathematicians in history who fundamentally changed what mathematics is about.

It was Emmy (I use her first name in order to distinguish her from her mathematician father Max) who first fully recognized the power of abstraction, which became the driving force of 20th century mathematics. She demonstrated time and again that it can be easier to solve a general problem than a specific one, and therefore the best way to attack a specific problem is often to generalize. Do you want to prove a fact about polynomial functions? First notice that polynomial functions can be added together, and they can be multiplied, and they obey certain laws along the way (like associativity and commutativity). Now prove a theorem that applies to anything that can be added and multiplied subject to those laws. Do it right, and you’ll replace intricate calculations with simple logical deductions. What was hard becomes easy. You get your result for free, and a whole lot of other results as a bonus.

Or, if you that doesn’t quite work, figure out what additional properties you’re using about polynomials, beyond associativity and commutativity, and prove a theorem about everything that has those properties.

To get a sense of how revolutionary this was, consider the Hilbert Basis Theorem, one of the foundational results of modern algebra. Have a look at Hilbert’s original proof — though you might not want to work through every detail in the 62 pages of equations and formulas. By contrast, Noether’s proof of a more general, more powerful and more useful version occupies all of one paragraph on Wikipedia.

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Meager Means and Noble Ends

impOn Monday we marked the hundredth birthday of the Nobel laureate and all-around intellectual curmudgeon George Stigler. I promised more Stigler quotes by the end of the week. Here, then, is Stigler on the consequences of competition in the market for higher education; the passage is from one of the two-dozen lively and provocative essays collected here. If he’d been born just a bit later, Stigler could have been a champion blogger.

For clarity: When Stigler refers to an academic “field”, he is referring to a sub-discipline. Economics is a discipline; industrial organization and public finance are fields. Physics is a discipline; particle physics and solid state physics are fields.

We cannot build universities that are uniformly excellent … I shall seek to establish this conclusion directly on the basis of two empirical propositions.

The first proposition is that there are at most fourteen really first-class men in any field, and more commonly there are about six. Where, you ask, did I get these numbers? I consider your question irrelevant, but I shall pause to notice the related question: Is the proposition true? And here I ask you to do your homework: gather with your colleagues and make up a numbered list of the twenty-five best men in one of your fields — and remember that these fields are specialized. Would your department be first-class if it began its staffing in each field with the twenty-fifth, or even the fifteenth, name? You have in fact done this work on appointment committees. I remember no cases of an embarrassment of riches, and I remember many where finding five names involved a shift to “promising young men”, not all of whom keep their promises. I leave it to the professors of moral philosophy and genetics to tell us whether the paucity of first-class men is a sort of scientific myopia, a love of invidious ranking, or a harsh outcome of imprudent marriages. But the proposition is true.

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Centenary

The great Ronald Coase is 100 years old today.

One year ago today, he celebrated with a 100th birthday party, though he was only 99. I’m not sure what festivities are planned for today but I hope it’s a very good day for him.

Also one year ago today, I published a 99th birthday tribute here on this blog. I’m re-running it today.

Happy Birthday, Ronald Coase

In the theory of externalities—that is, costs imposed involuntarily on others—there have been exactly two great ideas. The first, forever associated with the name of Arthur Cecil Pigou (writing about 1920) is that things tend to go badly when people can escape the costs of their own behavior. Factories pollute too much because someone other than the factory owner has to breathe the polluted air. Nineteenth century trains threw off sparks that tended to ignite the crops on neighboring farms, and the railroads ran too many of those trains because the crops belonged to someone else. Farmers keep too many unfenced rabbits when they don’t care about the lettuce farmer next door.

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Blogpost in October

dylant

If Dylan Thomas hadn’t drunk himself to death in 1953, he might be celebrating his ninety-sixth birthday today, perhaps with a successor to the grand and glorious poem he wrote to celebrate his thirtieth.

He left us with a small number of poems so heart-wrenching that I cannot read them, even for the two hundredth time, without all of the symptoms of an emotional crisis. Take In Country Sleep, where a father reassures his daughter that she has nothing to fear from fairy tale villains—but only from the Thief who comes in multiple guises to take her faith and ultimately to leave her “naked and forsaken to grieve he will not come”. In Country Sleep was a standard bedtime poem in our house, and my daughter soon learned to anticipate “the part where Daddy cries”.

Then there’s the prose. Nobody is better at nostalgia and grief for time’s relentlessness:

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Frederic Bastiat

bastiat.smallToday is the 209th birthday of Frederic Bastiat, the patron saint of economic communicators.

Of all the essays ever written, the one I most wish every voter could read and understand is Bastiat’s That Which is Seen and That Which is Not Seen. A boy breaks a window. Someone in the crowd observes that it’s all for the best—if windows weren’t occasionally broken, then glaziers would starve. This can’t be right, says Bastiat. If it were, we’d have no reason to diapprove of a glazier who pays boys to break windows. But why is it wrong? It’s wrong because it focuses on what is seen—six francs in the glazier’s pocket—and ignores what is unseen, namely the shoemaker who is deprived of a sale because those six francs come from what would have been the homeowner’s shoe budget.

Bastiat’s great insight in this essay is that exactly the same fallacy, in only slightly subtler form, underlies many of the public policy positions that were taken seriously in the 19th century—and, we might add, in the 21st.

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Split Infinities

cantorToday is the 165th birthday of Georg Ferdinand Ludwig Philipp Cantor, the mathematician who indirectly inspired me to major in math. In my first few semesters of college, I was at best an indifferent student, finding little inspiration in the humanities majors I was bouncing around among, playing a prodigious amount of pinball, and attaining (according to rumor) history’s first-ever grade of C in Peter Regenstrief‘s Poltical Science 101. Then one day, my friend Bob Hyman happened to mention that some infinities are larger than others, and set my life on track. This—the vision of Georg Cantor—was something I had to know more about. Before long I was immersed in math.

What does it mean for some infinities to be larger than others? Well, for starters, some infinite sets can be listed, while others are too big to list. The natural numbers, for example, are already packaged as a list:

The integers, by contrast (that is, the natural numbers plus their negatives) aren’t automatically listed because a list, by definition, has a starting point, whereas the integers stretch infinitely far in both directions. But we can fix that by rearranging them:

So the integers can also be listed.

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Ten Score and One Year Ago

A month ago, I posted a portrait gallery of my personal heroes and invited readers to identify the faces; a few days later I posted the answer key.

To my mild surprise, the face that generated the most controvery—in both comments and email—was that of Abraham Lincoln, who was born 201 years ago on this day. Readers pulled no punches. ScottN wrote: “Lincoln is on a different list I have: People Who Caused the Most Unnecessary Deaths.” Peter wrote: “[Lincoln] was a tyrant and a racist to boot.” And the consistently provocative and thoughtful Bob Murphy wrote:

I would love to hear your reasons for including Lincoln. I have the same misgivings as the other commenter above, though I was going to introduce them with levity. (E.g. “I know you like math, Steve, so is that why you included the guy who maximized the wartime deaths of Americans?”)

I replied to Bob (and others) by email, with some sketchy thoughts and a promise to blog about Lincoln sometime on or before his birthday. With the deadline looming, I realize that I have little to add to those sketchy thoughts. So here, with only some minor editing, is the email I sent to Bob Murphy:

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Happy 99th Birthday, Ronald Coase

ronald-coase1In the theory of externalities—that is, costs imposed involuntarily on others—there have been exactly two great ideas. The first, forever associated with the name of Arthur Cecil Pigou (writing about 1920) is that things tend to go badly when people can escape the costs of their own behavior. Factories pollute too much because someone other than the factory owner has to breathe the polluted air. Nineteenth century trains threw off sparks that tended to ignite the crops on neighboring farms, and the railroads ran too many of those trains because the crops belonged to someone else. Farmers keep too many unfenced rabbits when they don’t care about the lettuce farmer next door.

Pigou’s solution—and it’s often a good one—is to make sure that people do feel the costs of their actions, via taxes, fines, or liability rules that allow the victims to sue for damages. Do a dollar’s worth of damage, and you’re charged a dollar.

Pigou endorsed this policy not because it seems fair, though it does seem fair to many, but because it yields, under what he believed to be very general conditions, the optimal amounts of damage. We don’t want too much pollution, but we don’t want too little, either, given that pollution is a necessary by-product of a lot of stuff we enjoy. Pigou offered a proof—now standard fare in all the textbooks—that his policies lead to the perfect compromises, in a sense that can be made precise.

The second great idea about externalities sprang full-blown from the mind of a law professor and subsequent Nobel prize winner named Ronald Coase, who stunned the profession in 1960 by pointing out that Pigou’s argument runs both ways. If you breathe the pollution from my factory, I’m imposing a cost on you—but at the same time, you’re imposing a cost on me. After all, if you lived somewhere else, you wouldn’t be complaining about the smoke and I wouldn’t be getting punished for it.

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Too Marvelous for Words

The greatest financial mistake of my life occurred on the day my father offered to bet his entire net worth against mine that the great Johnny Mercer had written the song Don’t Fence Me In. Now “Don’t Fence Me In” is a marvelous song, and Johnny Mercer could have been justifiably proud to write it—if only Cole Porter had not written it first. I happened to know this about Cole Porter; I knew it as surely as I know the authors of Romeo and Juliet and The Wealth of Nations. But for some reason I’ve never understood, I refused the bet, thereby condemning myself to a life of poverty. Still I console myself with the knowledge that you don’t have to be rich to be touched by the grace of Johnny Mercer, who was born one hundred years ago today.

The guy was a phenomenon. He wrote the lyrics for over 1500 songs, and the music for at least a few hundred. And he was a singer-songwriter decades before the likes of Bob Dylan, Phil Ochs and Joni Mitchell allegedly invented the genre. God, he was smooth. By and large, I’d rather hear Johnny Mercer sing his own songs than any of the myriad covers that have become American classics—and that’s saying something for a guy who was covered repeatedly by the likes of Frank Sinatra and Ella Fitzgerald.

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