Not bounded means that if you give me a number x then there is some y that is bigger than x. So, in the context of the paper, if you thought that your computer

Not bounded means that if you give me a number x then there is some y that is bigger than x. So, in the context of the paper, if you thought that your computer always made a decision after a week, then there is some situation whereby the computer takes longer than a week. For the record, I think the mathematics is sounder than the computer science which in turn is sounder than the social science. As the author admits when he mentions Kepler, we can't really prove Buridan's Principle. But I think it goes further than this in the social aspect: We don't know whether indecision at traffic lights is even accurately modeled by Buridan's Principle. Then the question becomes not whether it's true, but whether it is a good model. And these kind of models are always dangerous ground in the social sciences. Edit: The reason why I say the mathematics is sound is because he rephrases the usual notion of compactness: https://en.wikipedia.org/wiki/Compact_space https://en.wikipedia.org/wiki/Compact_space.