behold the mathematical field...

yhlee asked for a math-check of this Tumblr post. Here are some thoughts!

I've seen a few variants on this string of jokes; in particular, I'm pretty sure that the claim that ( behold the field... )

I need to catch a plane, so I'm not going to talk about why people care about fields or Banach spaces right this second, but you should ask me those questions in comments!