I'd not seen Elizier's post on "0 and 1 are not probabilities" before. It was a very interesting point. The link at the end was very amusing.
However, it seems he meant "it would be more useful to define probabilities excluding 0 and 1" (which may well be true), but phrased it as if it were a statement of fact. I think this is dangerous and almost always counterproductive -- if you mean "I think you are using these words wrong" you should say that, not give the impression you mean "that statement you made with those words is false according to your interpretation of those words is false".
I was very interested in the discussions and opinions that grew out of the last time this was played, but find digging through 800+ comments for a new game to start on the same thread annoying. I also don't want this game ruined by a potential sock puppet (whom ever it may be). So here's a non-sockpuppetiered Irrationality Game, if there's still interest. If there isn't, downvote to oblivion!
The original rules:
Enjoy!