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Is there any subtle difference between “to study” and “to learn”?

What is the difference between "to learn" and "to study"? Can you study without learning? For example, if you study complex math as a subject but you don't understand it completely.

marked as duplicate by coleopterist, FumbleFingers, tchrist, user19148, Mitch Oct 9 '12 at 21:18

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You can certainly study without learning, I have students who do that all the time.

Learning implies (to some degree) the internalization of the information you are studying.

Studying is simply the devotion of time to a particular subject.

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