Playing Devil's Advocate...

As Eliezer has argued, it would be greatly beneficial if science were kept secret. It would be wonderful if students had the opportunity to make scientific discoveries on their own, and being trained to think that way would greatly advance the rate of scientific progress. Making a scientific breakthrough would be something a practicing scientist would be used to, rather than something that happens once a generation, and so it would happen more reliably. Rather than having science textbooks, students could start with old (wrong) science textbooks or just looking at the world, and they'd have to make all their own mistakes along the way to see what making a breakthrough really involves.

This is how Philosophy is already taught! While many philosophers have opinions on what Philosophical questions have already been settled, they do not put forth their opinions straightforwardly to undergrads. Rather, students are expected to read the original works and figure out for themselves what's wrong with them.

For example, students might learn about the debate between Realism and Nominalism, and then be expected to write a paper about which one they think is correct (or neither). Sure, we could just tell them the entire debate was confused, but then we won't be training future philosophers in the same way we would like to train future scientists. The students should be able to work out for themselves what the problems were, so that they will be able to make philosophical breakthroughs in the future.