The reason I pose these questions in particular is that, while it is necessary (and possible) to teach facts to people, it comes with a price. And the price is this: facts learned in this way, and especially by rote, and especially at a younger age, take a direct route into the mind, and bypass a person's critical and reflective capacities, and indeed, become a part of those capacities in the future.When you teach children facts as facts, and when you do it through a process of study and drill, it doesn't occur to children to question whether or not those facts are true, or appropriate, or moral, or legal, or anything else. Rote learning is a short circuit into the brain. It's direct programming. People who study, and learn, that 2+2=4, know that 2+2=4, not because they understand the theory of mathematics, not because they have read Hilbert and understand formalism, or can refute Brouwer and reject intuitionism, but because they know (full stop) 2+2=4.