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number stumble

Comments

  • Registered Users, Registered Users 2 Posts: 1,454 ✭✭✭bogwalrus


    i cant believe he actually put up my one for 747 lol. (i feel smart now but know quite well that is untrue)

    Can anyone guess what i emailed him for the number 747?


  • Registered Users, Registered Users 2 Posts: 2,481 ✭✭✭Fremen


    It's well known that all the whole positive numbers have some special property.

    Consider the set of whole positive numbers. Let S be the set of non-special numbers. S is bounded below by zero, so it must have some smallest element S_min. But, S_min is the smallest non-special number, so therefore it is special, which gives a contradition. Therefore S has no minimum element. We conclude that S is the empty set and all numbers are special!


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