I've been thinking about the best way to present a mathematical thought in a tweet. When I tweet a prompt or question, it's often hard for you to determine:
* do I have an answer in mind?
* do I believe there's a correct answer?
* is this a serious question?

...
* how much thought have I done about this so far?
* how much do I care about the answer?

For example, this recent question: twitter.com/christianp/sta…

The answer I had in mind was "no", if philosopher-kings are playing, but I was interested in whether you could ignore that and have a go at playing anyway.
I thought about it for a couple of minutes in the shower

I like how @jamestanton often tweets thought-provoking questions, and it's rarely clear if James knows the answer, or if there even is an answer. Sometimes it's a well-known theorem, other times something that just occurred to him.