You might suppose that logic does at least underlie the mental abilities of mathematicians and logicians. Some of them have thought so too, but the disciplines demand more than just deduction. The Indian genius Srinivasa Ramanujan, who died in 1920, left behind a body of work that continues to occupy mathematicians, but proof was not crucial to his many conjectures. As another great mathematician, G.H. Hardy wrote about him, “[he] combined a power of generalization, a feeling for form, and a capacity for rapid modification of his hypotheses, that were often really startling, and made him, in his own peculiar field, without a rival in his day.
Is this psychologist correct that mathematical discoveries demand more than deduction? If yes:
What's the term for this creativity?
How can undergraduate students learn it?