Archive for the ‘0.999…’ Category

0.999…

May 17, 2007

This number read as .9 recurring is an interesting one. .9 recurring

A wikipedia article http://en.wikipedia.org/wiki/0.999

It leaves me in awe…

If 0.999… = 1

Then what would 0.888… would be is it 0.9, it should not be coz 0.8999… = 0.9

and can 0.8(888…) can this be 0.89? if it is then what is the difference?

 

So is it 0.888… < 0.8999… < 0.9

 

So if we have a class of numbers lets say recurring terminating

0.888… < 0.888…5 < 0.888…5999… < 0.888…6 < 0.9 < 0.999…

 

This is just a vague idea, but probably we will never contemplate the outcomes of our understanding. This faintly reminds me of Gödel’s incompleteness theorems

http://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems

Advertisements