To my surprise, I recently found another not-so-brainteasing question come up alongside the hotdog/sandwich topic: "How many holes does a drinking straw have?" My initial response as soon as I read that one was something like, "I think it's one, right? I mean, topology isn't really in my wheelhouse, but this is an exceedingly basic question and unless there's some trick, I know it's going to be one." And then I had the followup thought of, "Someone has probably already asked a topologist this question, so let's look it up on the internet." I was, in both instances, correct on all counts. It's an easy problem for topology, people have already asked topologists, and the answer is, indeed, one. Well, that was easy.
What's strange and frustrating to me about this, though, is that I guess I expected better. The hotdog thing seems more like a forgivable sort of mistake. The sort of people who like to argue about these things are nerds. A lot of them are into or familiar with physics, biology, epistemology, information science, etc. And perhaps the sort of nerds who are culinary nerds are also not the sort to get dragged into such arcane debates. So it becomes a topic with all sorts of irrelevant philosophical debate, because there just aren't enough people with both an interest in getting involved and the sense to remind the participants that there's already a system of nomenclature established for these things. At least, I thought that was what was going on, at the time I wrote the hotdog post. The nerds who nerd it up with elaborate discussions on abstract debate topics like "Does X count as Y" just might not have much overlap with people who are interested in culinary history. So they miss the point and look a bit silly to me, but it's the kind of mistake I guess I expected. But how many holes an object has? Surely many of these same sorts of nerds are also math nerds! Surely even the ones who don't know much topology know enough to know that it exists and know enough to look to topology for an answer. Right? Right? Apparently not.
And on that, I'm stumped. Here we have the sort of question that...
- Seems obviously to be a topology question.
- Has an easy, readily available answer in topology.
- Has a definitive answer from the field of topology that also would seem to happen to match the most intuitive answer (from my perspective, anyway), so there shouldn't be much objection.
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