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 Originally Posted by OngBonga
Yeah this "countable" and "uncountable" bollocks with regard to infinity is not really very clear to me.
Basically if something is countable you can essentially take every element in the set and say it's the same as 1, 2, 3 etc. The link I posted shows how you can do this for rational numbers.
There are some sets where if you do this it's impossible to have every element in that set match up to 1, 2, 3 etc. There is essentially stuff left over. It's why there are infinitely more numbers between 0 and 1 than there are natural numbers.
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