Why aren't there as many integers as 0. [decimal] numbers? Surely the sets are just mirror images of each other?

Question

agent47 · Answer

Well, for this you can watch this great video that explains cardinality..

agent47 · Answer

http://www.youtube.com/watch?v=elvOZm0d4H0

agent47 · Answer

as a matter of fact there are more real numbers between 0 and 1 than there are integers.

anonymous · Answer

depends on what you mean by decimals
if you mean repeating or terminating decimals, then those are rational numbers and they are countable as well.
decimals are a way of representing real numbers, but most real number are not rational, so their decimal representation will be non repeating non terminating

anonymous · Answer

So is it impossible to construct a 'backwards' irrational number, that is irrational up, rather than down?