On Beyond Omega!

Because most people stop at the ZBut not me! — On Beyond Zebra!, by Dr. Seuss A mysterious gentleman offers to give you a bag containing as many coins of any denomination of U.S. currency as you want. A million quarters? Easy. A billion double eagles, worth $20 apiece? No problem; the magic bag will enlarge itself to make room for them. “How about infinitely many?” you ask hopefully. “Oh, I can’t do that,” says the gentleman, shaking his head. “I can only ever put finitely many coins into the bag. But no finite number is too big for me.” “What’s the catch?” you ask. THE CATCH “Oh, it’s such a little thing,” the gentleman says. “But I give away money for the pleasure of seeing people use it, so I must insist that you remove a coin from the bag every day, to spend or invest however you wish. And no fair adding money to the bag yourself; only I can do that.” “Oh, but then I’ll run out of money eventually,” you say. “Not to worry,” he replies; “each time you remove a coin larger than a…