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Least But Not The Last (Posted on 2003-05-08) Difficulty: 4 of 5
Prove that every Non-Empty set of Positive Integers contains a "Least Element".

See The Solution Submitted by Ravi Raja    
Rating: 2.7500 (8 votes)

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re: {P, r, o, o, f} | Comment 2 of 13 |
(In reply to {P, r, o, o, f} by Brian Smith)

The proof doesn't work.

Imagine that the problem referred to all integers rather than positive ones. Your proof does not use the fact that all the integers are positive. However, it is not the case that every set of integers has a least value. The set of even integers is one counterexample.
  Posted by friedlinguini on 2003-05-08 11:54:36

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