DIR Return Create A Forum - Home
       ---------------------------------------------------------
       gworld
  HTML https://gworld.createaforum.com
       ---------------------------------------------------------
       *****************************************************
   DIR Return to: MATH FACTS
       *****************************************************
       #Post#: 121--------------------------------------------------
       ALL NUMBERS ARE INTRESTING
       By: eba95 Date: July 30, 2010, 6:56 am
       ---------------------------------------------------------
       All Numbers are Interesting
       There are clearly many interesting
       whole numbers. For instance, 2 is the
       only even prime number, 3 is the
       first odd prime, 6 is a perfect
       number (the sum of the proper
       divisors is the number itself), etc.
       But did you know that all whole
       numbers are interesting? We shall
       prove it here.
       Suppose, for the sake of
       contradiction, that not all whole
       numbers are interesting. Using the
       well-ordering property of the whole
       numbers, among the non-
       interesting numbers there is a
       smallest non-interesting number N.
       But that would make N interesting,
       after all, a contradiction.
       Therefore all numbers are
       interesting.
       The Math Behind the Fact:
       This is a rather amusing model of a
       proof by contradiction, and perhaps
       shouldn't be taken too seriously!
       *****************************************************