In a nanostep for freedom, the Supreme Court this morning protected a small number of Americans from being forced by Congress to buy contraception insurance that they do not want. In a somewhat larger step backward, that small number of Americans were not chosen randomly, but instead were selected according to the religious beliefs of their employers. Whether this bodes well for future progress remains to be considered.
If you want to compute the circumference of the observable universe to within, say, the width of a human hair, you’ll need to know about 35 digits of π, though this never seems to deter a certain sort of person from memorizing the first 100, 200 or 500 digits. But it turns out there’s no need to memorize anything at all! You can recover any number of digits you like from a simple little physics experiment that I just learned about, though it was invented over ten years ago by Professor Gregory Galperin of Eastern Illinois University. His lovely little paper is here.
To see how it works, start with two identical billiards lined up in front of a wall like so:
Now push Ball 2 toward Ball 1 and count the collisions: First Ball 2 collides with Ball 1 and pushes it toward the wall. (At this point Ball 2 has transferred all its momentum to Ball 1 and stops moving). Then Ball 1 collides with the wall and bounces back toward Ball 2. Then Ball 1 collides with Ball 2 and pushes it off to a far-away place. Three collisions. That tells you that π starts with a 3.
If you want more accuracy, make Ball 2 exactly 100 times as heavy as Ball 1. This time the sequence of events is a little more complicated, but it turns out there are exactly 31 collisons. That tells you that π starts with 3.1.
Or if you prefer, make Ball 2 exactly 10,000 times as heavy as Ball 1. You’ll get exactly 314 collisions. π starts with 3.14.
Yesterday’s brief post raised an eyebrow over a congressional candidate who manages simultaneously to call himself a “free-market economist” and to support strict controls on immigration. Here are a few more words for those who don’t quite see the problem.
First, I can imagine two possible meanings for the adjective “free-market”. Either it means you place a high value on freedom as an end in itself or it means you believe that freedom is, in general, a highly effective means to other ends you care about, like prosperity or security. I happen to be a free marketeer in both senses, though I can easily imagine being a free marketeer in either sense alone.
I see my preference for freedom as an end in itself as being similar to my preference for well done meat — you either share that preference or you don’t, and if you don’t, we’ll just have to agree to disagree — there’s no right or wrong here. One exception: If your preferences strike me as inconsistent — if, that is, you seem to make a lot of choices that indicate a strong preference for freedom while denying that freedom is terribly important to you — then I’m apt to point to that inconsistency and suggest that you might want to think a little harder about what your true preferences really are. That was the thrust of what I once tried to do in a book called Fair Play, where I suggested that the choices we make as parents often reveal values contrary to those we express in the voting booth — and that by reflecting on those choices, we might become more thoughtful voters.
On the other hand, if you doubt that freedom is an effective means toward prosperity, then I’m pretty sure you’re just wrong, and that if you thought about it harder you’d change your mind. A lot of my other writing has tried to explain how to think about it harder, and to demonstrate that this is a subject where hard thinking can be fun.
Now I’m not sure in which sense our congressional candidate considers himself a free marketeer, but surely if you’re a free marketeer in either sense, you’ll tend to endorse statements like these:
The central policy issue in this race has become Cantor’s absolute determination to pass an amnesty bill. Cantor is the No. 1 cheerleader in Congress for amnesty [for illegal immigrants]. This is not the Republican way to fix our economy and labor markets.
| — David Brat, congressional candidate and self-described “free market economist” |
Suppose you’ve just joined the army and expect to serve for, oh, say, four years before returning to civilian life.
Which would you rather have when you get out: a lifetime-guaranteed annual check for $7500 (adjusted each year for inflation) or a package of VA benefits?
To help you decide: The VA benefits include payments of anywhere from about $100 a month to almost $3000 a month in the unlikely event that you are partially or fully disabled, a pension on the order of $15,000 a year in the more unlikely event that you are both disabled and poverty-stricken (rising to more like $20,000 a year if you need regular aid and attendance), educational benefits under the GI bill, and health care of whatever quality the government chooses to provide.
Me, I’d take the guaranteed $7500-a-year in a heartbeat. If that’s the typical response, then it’s hard to see why we have a Veteran’s Administration in the first place, seeing as how the VA’s annual budget would just about cover those payments.
