Good stuff, upvoted. Related point: since learning can be far more efficient if you're intrinsically curious about the subject matter, you should collect as many "angles" as possible to interest you in new bodies of knowledge, and cherish any connection you can find between things you care about on a gut level and fields you might benefit from understanding for extrinsic reasons.
Related to: The Simple Math of Everything, Your Strength as a Rationalist, Teaching the Unteachable.
Eric Drexler wrote a couple of articles on the importance and methods of obtaining interdisciplinary knowledge:
This topic was discussed intermittently on Overcoming Bias. Basic understanding of many fields allows to recognize how well-understood by science a problem is and to see its place in the structure of scientific knowledge; to develop better intuitive grasp on what's possible and what's not; and to adequately perceive the natural world.
The advice he gives for obtaining general knowledge feels right, even for studying the topics that you intend to eventually understand in depth: