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Jul26-11, 10:38 AM   #35
 
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Where are the irrational numbers?


Quote by agentredlum View Post
How would you fit the reals?

mathwonk fits the rationals by making a list and using a 1-1 correspondence between every member of his list and a mathwonk 'cut'

Cantor proved the reals cannot be listed.

How would you fit the reals?

There exists a bijection between [itex]\mathbb{R}[/itex] and any arbitrary small interval. So the reals can be "fitted" in any arbitrary small interval.