A Formal Proof that There Are No Boring Numbers


Theorem: There are no boring numbers.

Proof by Contradiction. Assume that there were a non-empty set B which is  a subset of all boring natural numbers. Like all subsets of natural numbers, this set as a minimum number b.  Being the smallest boring natural number b is in fact interesting and therefore not boring after all. A contradiction!

Therefore, the theorem above is true.

Note: Although the theorem above is for obviously for fun, you must know proof by contradiction in order to fully appreciate it. 



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Guillermo Bautista

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  1. Pingback: Month in Review - January 2013 January 31, 2013

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