Math for programming

To what level of math should I learn to be a good programmer?

i love the finitist guy (except for the anti-jew stuff (if that is even the same guy)). he has some interesting views that i hadn't even considered, until i came to /prog/

a thought: weren't mathematicians against infinity at first? wasn't it considered nonsense until it was shown to have some practical (practical, at least, for figuring out other math things) purposes? if use of infinity is practical, why shouldn't we use it? when i do calculus, or whatever, i'm not really worshiping infinity, i'm solving a problem using a math tool.