As the question about the beauty of mathematics was closed, reopened and there is already a close vote again.
For sure it is possible that we close and reopen the question several times, I think for such a popular question are 5 votes not enough, maybe we should scale it, so a popular question needs much more (we should bound it perhaps) close votes to be closed.
Maybe we should make the something analog for reopening questions.
Edit: Rahul Narain did have the idea to give a button:
Don't close which would decrement the vote counter for closing. I think that is it a good idea.