As he argued in his 2012 book “Ignorance: How It Drives Science,” many scientific facts simply aren’t solid and immutable, but are instead destined to be vigorously challenged and revised by successive generations. Discovery is not the neat and linear process many students imagine, but usually involves, in Dr. Firestein’s phrasing, “feeling around in dark rooms, bumping into unidentifiable things, looking for barely perceptible phantoms.” By inviting scientists of various specialties to teach his students about what truly excited them — not cold hard facts but intriguing ambiguities — Dr. Firestein sought to rebalance the scales.

Presenting ignorance as less extensive than it is, knowledge as more solid and more stable, and discovery as neater also leads students to misunderstand the interplay between answers and questions.

People tend to think of not knowing as something to be wiped out or overcome, as if ignorance were simply the absence of knowledge. But answers don’t merely resolve questions; they provoke new ones.