Category Archives: Bad Math

Asteroid Apophosis, Orbit Changes, and Boy (not)Geniuses

You might have heard the story that’s been going round about the asteroid
Apophis.
This is an asteroid that was, briefly, considered by NASA to be a collision risk with earth. But after more observations to gather enough data to compute its orbit more precisely, the result was that it’s not a significant risk. The current NASA estimates are that it’s a collision risk of about one in 45,000.

The news around it is that some German kid claims to have figured out that
NASA got it wrong, and that the real risk is 1 in 450. What was NASA’s big
mistake, according to the kid?

He says that if the asteroid were to hit a satellite, that it would change the satellite’s trajectory enough to make it hit the earth.

This has been reported with ridiculous credulity. Anyone with the least
bit of mathematical literacy should know, pretty much without even needing to
think about it, that this is absolutely silly.

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Liars: No Information Allowed

Bad from the Bad Ideas Blog sent me a link to some clips from Ben Stein’s new Magnum Opus, “Expelled”. I went and took a look. Randomly, I picked one that looked like a clip from the movie rather than a trailer – it’s the one titled “Genetic Mutation”.

Care to guess how long it took me to find an insane, idiotic error?

4 seconds.

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Dazzling Egnorance: Egnor vs. Experimental Science

I’m jumping into this late, and it’s at least somewhat off topic for this
blog, although I’ll try to pull a few mathematical metaphors into it. But Michael
Egnor, that paragon of creationist stupidity, is back babbling about evolution and
bacterial antibiotic resistance. This is a subject which is very personal to me:
my father died almost a year ago – basically from an antibiotic resistant infection.

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Bad Statistical Reasoning about Weather and Climate

Yet another reader sent me a link to a really annoying article at a site called “Daily Tech”. The article has been more than adequately debunked by Darksyde at Daily Kos, but it’s a very typical example of a general kind of argument made both for and against global warming, which I find extremely annoying.

The basic argument takes one of two forms:

  1. Wow, look how hot it is today! How can anyone possible deny global
    warming?
  2. Wow, look how cold it is today! How can those idiots believe in global
    warming?

These are both examples of confusing weather with climate. That confusion is a typical example of a common statistical error:
using aggregate data to draw conclusions about specific individuals, or using a single individual to draw conclusions about an aggregate. Individual data points and aggregates are very different things, and you can’t just arbitrarily go from one to another.

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Responding to Granville Sewell about his Fraudulent Experiments

Granville Sewell, over at UD, has decided to pretend that he just discovered my earlier critique of his “though experiment” where he claims to simulate the universe. The reason that I say “pretend” is that Sewell originally edited the article that I was mocking in response to my post; now, months later, he’s pretending that he just found it. Uh, yeah, sure, Gran, whatever you say.

(In keeping with my practice, I no longer link to anything at UncommonlyDense; since they feel free to lie, alter posts, and remove posts, there’s no way of knowing what my link will point to tomorrow. Similarly, I’m responding here rather than in a comment there, because UD feels free to censor, edit, or delete comments for any or no reason at all, without notice.)

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Two For One: Crackpot Physics and Crackpot Set Theory

I was asked by a reader to take a look at yet another crackpot theory of everything. This time, it’s the Cognitive Theoretic Model of the Universe. This one is as cranky as any, but it’s actually got some interestingly silly math to it.

Stripped down to its basics, the CTMU is just yet another postmodern
“perception defines the universe” idea. Nothing unusual about it on that
level. What makes it interesting is that it tries to take a set-theoretic
approach to doing it.

The real universe has always been theoretically treated as an object, and specifically as the composite type of object known as a set. But an object or set exists in space and time, and reality does not. Because the real universe by definition contains all that is real, there is no “external reality” (or space, or time) in which it can exist or have been “created”. We can talk about lesser regions of the real universe in such a light, but not about the real universe as a whole. Nor, for identical reasons, can we think of the universe as the sum of its parts, for these parts exist solely within a spacetime manifold identified with the whole and cannot explain the manifold itself. This rules out pluralistic explanations of reality, forcing us to seek an explanation at once monic (because nonpluralistic) and holistic (because the basic conditions for existence are embodied in the manifold, which equals the whole). Obviously, the first step towards such an explanation is to bring monism and holism into coincidence.

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Why does currency value change?

After yesterday’s article about conversion between the value of
british pounds in the ’70s versus british pounds today, someone sent me a link to
an article at the National Review Online, which just about had me rolling on the floor laughing. The problem is, it’s dead serious.

It’s written by an “engineer” named Louis Woodhill, who argues from what he calls
an “engineering viewpoint” that the whole idea of fluctuating currency value is total nonsense, and we’d all be better off if we just assigned a fixed value to our currency, and never allowed it to change.

The U.S. dollar is in a scary slide. Gold and oil are hitting record highs,
while the dollar is hitting record lows. To get how strange this all seems to an engineer
like me, imagine the following headline: “Foot Falls against Meter for Fifth Straight Day.”

The accompanying article would breathlessly report that after the U.S. abandoned its “antiquated” fixed-exchange-rate system (one foot equals 0.3048 meters), our beloved foot began plunging in length. A “length trader” would predict that if the foot fell below the “psychologically important 0.2800 meter support level,” it could fall as low as 0.2500 meters. But an economist would say that as long as the foot didn’t fall more than 10 percent, everything would be okay.

The story would then describe the plight of a homeowner whose garage was no longer within
his lot lines. Then another economist would argue that the falling length of the foot was
actually a good thing, because it caused people to be taller, which reduced their “body mass
indexes,” thus fighting obesity. The head of the U.S. Bureau of Standards would be quoted as
saying the bureau is committed to “a strong foot,” although, “given that imports are longer
than exports, there is only so much we can do.” The story would conclude with Paul Krugman
blaming the falling foot on “Bush’s tax cuts for the rich.”

What is going on with the dollar right now is every bit as ridiculous as the fictional story above. Here’s how an engineer would explain the problem.

Economic transactions involve the exchange of “something” for “money.” The “something” is specified in terms of number (1, 2, 3, etc.); length/area/volume (“the foot”); weight (“the pound”); and/or time (“the second”). “Money” is specified in terms of “the dollar.”

The problem with this scheme is that the magnitude of our fundamental unit of market value, “the dollar,” is not defined. Being undefined, the value of the dollar can change. This fact gives rise to huge economic costs and risks for which there are no offsetting benefits.

Sorry, Mr. Woodhill, but that’s not how an engineer would explain the problem. It’s how a pig-ignorant idiot would explain the problem. The explanation of why is beneath the fold.

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Washington State and GOP Vote Counting Fraud?

I’ve been getting a lot of mail from people asking for my take on
the news about the Washington GOP primary. Most have wanted me to
debunk rumours about vote fixing there, the way that I tried to debunk the
rumours about the Democratic votes back in New Hampshire.

Well, sorry to disappoint those of you who were hoping for a nice debunking
of the idea of fraud, but to me, something sure looks fishy.

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Idiot Math Professors, Fractions, and the Fun of Math

A bunch of people have been sending me links to a USA Today article about a math professor who wants to change math education. Specifically, he wants to stop teaching fractions, and de-emphasize manual computation like multiplication and long division.

Frankly, reading about it, I’m pissed off by both sides of the argument.

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The Nasty Little Truth about Idiots Who Don't Understand Dimensions

I managed to trash yet another laptop – the city commute through the subways seems to be pretty hard on computers! – so while I’m sitting and slowly restoring my backups, I was looking through the folder where I keep links to crankpots that I’d like to mock someday. I noticed one that I found quite a long time ago – and to my surprise, I realized that I never wrote about it! And given that I’ve been mocking relativity-haters lately, it’s particularly appropriate to cover it now.

The site is called “The Nasty Little Truth About Spacetime Physics”. It takes quite a different approach to criticizing relativity. As we’ve seen in past posts, most anti-relativity rants dislike relativity because it implies that there is no fixed reference frame – that there’s no such thing as an absolute velocity, no distinguished point at the unmoving center of the universe. That’s not this guys tack; no, he’s much smarter than that. His argument is that if you accept the idea of spacetime as defined by relativity, that
it logically implies that motion is impossible – and since we can clearly move, than means
that relativity is wrong!

Some of the most famous physicists in the world are not telling the truth about one of the most taken for granted concepts in scientific history. They are not telling us how they can come up with their fanciful time travel theories (wormholes, advanced and retarded waves traveling in spacetime, etc…) using a model of the universe that precludes the possibility of motion. Nothing can move in spacetime or in a time dimension-axis by definition. This is because motion in time is self-referential. It is for this reason that Sir Karl Popper compared Einstein’s spacetime to Parmenide’s unchanging block universe[*], in which nothing ever happens.

Before I continue, less I be immediately branded as an anti-relativity crank, let me make it perfectly clear that I agree with the mathematical and predictive correctness of both the Special and the General Theory of Relativity.

Now that is some primo crackpottery! You’ve got to love it when the crackpot starts off his argument by both denying that he’s a crackpot, and refuting his own argument!

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