Are you saying that you probably agree that 0 and 1 are probabilities, but my claim is not one of the things you would assign a probability of 1 to?
I believe 0 and 1 are probabilities, but there is no way to obtain that degree of certainty. (unless you have an incredibly clever method you aren't sharing, which is mean)
An analogy would be that I believe that 3^^^3 is a number, even though I don't think I will ever have that many dollars. Similarly, I believe that 0 and 1 are probabilities, but I wouldn't grant any particular belief a probability of 0 or 1.
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!