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Stuart_Armstrong comments on Just a casual question regarding MIRI - Less Wrong
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Study computer science. Math is instrumental and something you will pick up as you go along. All you need for that is some books, a notebook, and a pencil. Operational hands-on experience with artificial intelligence is something that you can get more out of from your studies in university. It will also open more doors should you choose to go a different route at a later point in time.
Not got good advice on the general question, but very much disagree with:
You need to self motivate yourself strongly to pick up new mathematical fields to the level where you can contribute. I'd make sure you had math courses in formal logic, whatever else you had; that would make it easier to learn the relevant stuff later. It also helps with thinking about these issues.
I studied computer science and I wish I had studied math; I think I'd find computer science much easier to "pick up as I go along".
Seconding this, most people don't just pick up math along the way. Maybe "math" in the "recipe book" sense.