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See: http://en.wikipedia.org/wiki/Interesting_number_paradox http://en.wikipedia.org/wiki/Interesting_number_paradox 'The paradox states that all natural numbe
by jschulenklopper 12y ago
See: http://en.wikipedia.org/wiki/Interesting_number_paradox http://en.wikipedia.org/wiki/Interesting_number_paradox
'The paradox states that all natural numbers are interesting. The "proof" is by contradiction: if there exists a non-empty set of uninteresting numbers, there would be a smallest uninteresting number – but the smallest uninteresting number is itself interesting because it is the smallest uninteresting number.'
- seanewest 12y agoWouldn't the paradox have to be "all natural numbers are either interesting or uninteresting" thus creating a partition of natural numbers? Or at least "some (more than 2) natural numbers are uninteresting"?
- deleted 12y ago[deleted]
- ggchappell 12y agoBut -- it's interesting in a rather different way. BTW, I once decided that the smallest uninteresting number is 34. Alas, I don't recall my exact reasoning.
- jschulenklopper 12y ago> I once decided that the smallest uninteresting number is 34. Doesn't that make 34 interesting? :-)