David Runciman (Cambridge) discusses voting, sorites paradoxes and plenty more in this interesting review of Richard Tuck’s book Free Riding.
Here’s an excerpt of the review:
[A]lthough in theory it only requires one vote to take someone over the top, in practice, the closer you get to that threshold the harder it is to find it, as the mist of political enmity descends. One way to address this is provided by Tuck’s account of other cases where the threshold seems to disappear the closer you get to it. This happens when the borderline between two states of affairs is unavoidably vague, even though the process of change is cumulative. Baldness is a classic example. I go bald by losing my hair one strand at a time, but the loss of no one strand is enough in itself to move me from the category of non-bald to bald. So if I consider the loss of my hair on a strand by strand basis, I can’t go bald, not even if I lose it all. The same kind of reasoning can also apply the other way, say to fatness. No single éclair is ever going to make me fat, so I might as well eat this one. But if no single éclair will ever make me fat then, having eaten one yesterday, I might as well eat another one today, and so on, until I become the thing that one éclair at a time isn’t supposed to make me: fat. These are known as ‘sorites’ paradoxes (the ‘sorites’ being a ‘heap’ of the kind that ought never to arise if you add to it one grain of wheat at a time). It is not easy to say how they should be resolved. But Tuck shows that the best way to think about these puzzles is to consider them as not that different from the problem of voting.
(Thanks to Daniel Callcut for the tip!)