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pragmatist comments on Help Reform A Philosophy Curriculum - Less Wrong Discussion
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Typically, symbolic logic classes focus on reasoning with formal systems and mathematical logic classes focus more on reasoning about formal systems. So in a symbolic logic class you would mainly learn how to do proofs while in a mathematical logic class you would learn about things like Godel's theorems. Maybe "mathematical logic" is a bit of a misnomer, but it is the traditional title of these classes.