On 14/07/2013 10:48 PM, John VanSickle wrote:
> This is why the reals are considered to have a higher countability than
> the integers. Reals are allowed to have infinite precision (such as pi,
> for which any digital representation goes indefinitely without
> repeating), but integers are defined to have finite precision.
>
> (Which brings up the question, why this imposition on the integers?)

Integers are allowed to have infinite digits before the decimal place. 
Reals are allowed them after the decimal place as well. ;-)

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