How cantor Looked for and Found a "One-to-One Corresponce" WRT Countably Infinite Sets

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How to look for and find a one-to-one corresponce between two (or more) countably infinite sets:

First you look for ... (an elipsis). This elipsis will be inside of the {} and usually after the highest provided digit. Make sure there isn't any digits after the elipsis (more looking). Stack the sets on top of one another- for example

{0,1,2,3,...}
{2,4,6,8,...}

And voila'! You have found the one-to-one correspondence! For those who cannot see it just draw a line connecting the first element of the top set to the first element of the bottom set. Do the same for the remaining elements. Yup keep going for infinity and let me know when you are done. :)

Cantor's is the "frustrated child" methodology. I can hear him now:

Oh my God, thinking about infinity hurts so let's just say if a set is countable as well as infinite then its cardinality will be the same as all other sets that are also countable and infinite. And if a set is uncountable and infinite, then it has a greater cardinality than countable and infinite sets because, well, let's face it, it's uncountable and that hurts more to think about than infinity.