God and Geometry

Mark Chu-Carroll draws attention to a Baptist high school that has managed to work God into the curriculum of its math classes.

One commenter, CRM-114, asks

BTW, what if they get a Jew or Muslim in the geometry class? Do they get alternative instruction fitting their religion?

which leads to another commenter, chaos_engineer, writing the greatest comment in the history of the internet.

Of course. Christians would be taught real geometry, with the Euclidean version of the parallel postulate.

People who practice flawed religions would naturally be more comfortable studying flawed, non-Euclidean geometries. Jews could learn Riemann’s version of the parallel postulate, Muslims could learn Lobachevksy’s, and atheists could learn H. P. Lovecraft’s.

End of News Era

With all of the fuss being raised about academic publishing, I want to draw everyone’s attention to the fact that our nation’s most trusted news source has ceased publishing. One of its strengths was its science reporting. Most journalism features science’s success. They instead, featured all of the many mysteries of the world that science could not yet explain: aliens, Bigfoot, Bat-Boy. I speak of course of the Weekly World News.

K-Theory editorial board resigns

Peter Woit reports that the entire editorial board of the journal K-Theory (published by Springer) has resigned. The current editors have already formed a new journal, Journal of K-Theory, which will be distributed by Cambridge University Press.

The subscription price for the Springer journal was $1590. The subscription price for the new journal is 380 British pounds, which is roughly half the price.

Education without Permission

Alexandre Borovik writes about a disturbing story coming out of Turkey. Ali Nesin organizes a summer school in mathematics in a village near Epheseus in Turkey. For some sort of bureaucratic rule violations (including “education without permission”), he has been arrested and the school has been shut down.

Alexandre has a follow-up post with more details, and a online petition. Contact details are provided if you want to add your name to the petition.

Totally-Ordered Nets

I was thinking about nets the other day, when I was reminded of something that I wondered when I first encountered them. Is the generalization to partially-ordered sets strictly necessary? The generalization to partially-ordered sets is useful, but are there spaces with points that are not reachable by totally-ordered nets alone?

In a first countable space, a point lies in the closure of a set if and only if there is a sequence of points in the set that converges to the point. This property fails in general. For example, an uncountable set with the cofinite topology has no non-trivial convergent sequences, but the closure of any infinite set is the whole space. You can recover this property if you pass to nets, which allow fairly general partially-ordered sets to be the index set (the only requirement you must impose is that they be directed sets). So if you require the index sets of your nets to be totally ordered, is there a space which contains a point that is not the limit of such a net?

Poking around Wikipedia, I found that the page for order topology, which suggests that the Tychonoff plank is an example of a space where totally-ordered nets are not sufficient. The page discusses nets indexed by ordinals, which possibly is a loophole, but it seems like a very narrow one. I’d be curious if anyone knows for sure.

Web Spamming

John Baez has an post up about web spamming by academic journal publishers. This is a rare case in which my cynicism may have outstripped reality, but I had always assumed that Google was deliberately allowing the publishers to do it. The misleading hits for journal articles seemed to appear simultaneously for every journal, so I had assumed that the journals had reached some sort of understanding with Google and I’d just missed the announcement.

Laptop Returns

My laptop is back from the dealer. They replaced the motherboard, which is the best outcome I could hope for. (The alternative — which I have experienced — is that you have to send it back three times before they accept they have to replace the motherboard.) I don’t think anything breaks on laptops other than motherboards. On my previous laptop, the ‘N’ key broke. When I took it into a shop to get it fixed, they told me they’d have to replace the motherboard.

Now I’m working my way through my RSS feeds. Every single weblog I have subscribed was updated, so it’ll be awhile.

McKellar in the Middle

Actress Danica McKellar, who co-authored a paper in mathematical physics as an undergraduate, has now written a book, Math Doesn’t Suck: How to Survive Middle-School Math Without Losing Your Mind or Breaking a Nail. The book is aimed at girls in middle school who might be scared away by math.

Via Aetiology, who has a more detailed review of the book.

Chichilnisky versus Columbia

In a post on his weblog, Michael Greinecker mentioned some applications of homology to economics. While aimlessly websurfing for more information, I came across the homepage of Graciela Chichilnisky, a mathematical economist who has extensively applied topological techniques to economic questions. Chichilnisky has written nearly 200 articles, and includes PDFs on her site.

On a less happy note, Chichilnisky also links to a site dedicated to detailing her problems with Columbia University, where she is a tenured professor. Chichilnisky had successfully sued Columbia on the grounds of sex discrimination in the 90s. The two parties are now back in court over an alleged pattern of retaliation on the part of Columbia. An article on her experiences with the reviewing process also makes depressing reading.