Infinity House
You Have A House With An Infinite Number Of Floors. An Infinitely Long Bus Comes To Stay There For The Night. You Find A Way To Put Them All In Separate Rooms.
Then A Bus Comes That Has Another Infinite Set Of People. You Solve This By Moving Everyone One Room Higher. (Ex. The Person In Room One Goes To Room Two, Then The Person In Room Two Goes To Room Three, etc, etc.)
However, Then An Infinite Amount Of Rooms Gets Hit By A Meteor And All Those Rooms Vanish. Is It Still Possible To Fit Another Infinite Bus Of People In Your Infinite House?
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N - natural numbers set has at least 2 different infinite subsets - of even and odd numbers.