Imagine that you and I find ourselves standing before the Pearly Gates awaiting our assignment to Heaven or Hell. St. Peter looks at us and says ''Well neither of you have been good enough to get into Heaven, but you haven't been bad enough to spend the rest of eternity in Hell either. So I'll let you share one spot in Heaven and one in Hell. When one of you is in Heaven, the other will be in Hell and you can switch back and forth. You two work out a schedule for switching, just make sure it's fair in the end.'' While we are trying to agree on a schedule, I propose the following to you. ''You can spend your birthday in Heaven, I'll spend it in Hell. The other 364 days per year, I'll be in Heaven and you'll be in Hell. And just to show you how fair I'm being, you can be in Heaven on Leap Day too.'' Note that by the end of eternity, we both spend /aleph_0 days in Heaven and the same in Hell. So from the standpoint of cardinality, my proposal is fair. Likewise, my proposal is fair with respect to ordinality. Nonetheless, I think most people would not agree to my proposal, feeeling that they were not getting as much time in Heaven as I was. Would you agree to my proposal? And what mathematical basis would you use to justify your agreement or non-agreement?