Grad-Blog
Sunday, August 07, 2005
  Names
While writing a computer program, it is considered good practice to name your functions, variables, objects, etc. with descriptive names. That way someone can read your program and have an idea of what it does. But there are mathematicians that don't seem to care about descriptive names for theorems and mathematical objects. Specifically, they like using mathematician's names (especially famous ones), e.g. Cauchy sequence, Riemann hypothesis, Hilbert space, abelian group, etc., and I wish they would stop.

I'm complaining about this because for the longest time I didn't know what a Hilbert space was. I've heard whispers of it in conversations, like some secret that hasn't been revealed to me yet. So, like the good student I am, I look it up, and it turns out that I've worked with Hilbert spaces in the past, they where just never called that in class.

One of my undergraduate professors was of the same conviction, although I didn't think much of it at the time. He called Cauchy sequences "closing sequences." He did this to avoid intimidating students with names like Cauchy. I imagine itimidation is a reason to use names. Riemann hypothesis sounds more impressive than "all the non-trivial zeros of the zeta function lie on the critical line" hypothesis. Not to mention Riemann hypothesis is shorter, which probably lies at the heart of the issue.
 
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