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Proof (Posted on 2002-05-29) Difficulty: 3 of 5
Prove that 3.999... = 4

See The Solution Submitted by Half-Mad    
Rating: 3.6667 (9 votes)

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re(3): alternate proof | Comment 16 of 45 |
(In reply to re(2): alternate proof by SilverKnight)

I believe Tom already addressed this in one of his replies. He said that no matter how small a number you add to 3.99999... you will not get inbetween 3.9999... and 4, but go above four.

Unlike the example gamer gave, this isn't just a set of integers from which there is no number inbetween. This is ALL numbers. There are plenty of numbers inbetween 1 and 2 if you think of the complete set of numbers.

I admit my proof isn't rigorous, but I believe that should be enough proof for most people. If you, SK, think you can improve it, go ahead (or not).
  Posted by Tristan on 2003-10-02 17:39:00

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