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I was actually considering going for a degree in Mathematics instead but majoring in both seems much more appealing. Perhaps even something such as Economics and CS could also be viable?

Also, would a PhD in AI be recommended as well considering the potential it has across multiple fields?

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It depends on you and your school. I carried about a semester worth of AP credits so I had an easy time taking all of the courses for both Physics and Math, the overlap between CS and Math was about the same.

As for the PhD, who knows? After four years of undergrad school you could spend 6-9 years in graduate school. A lot can happen between now and then.

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