Given my own experiences in intellectual inquiry, I wanted to give my children a few simple ideas that would be helpful for them in their pursuits. They all have a bit of curiosity which is a good fuel for learning.
Intellectual lessons from a father:
1. "I don't know" is a perfectly acceptable answer. (brights often have a hard time with this...)
2. "This is my best understanding so far" is often an appropriate answer. (even hard won knowledge is contingent...)
3. There is no substitute for doing the homework. Most people won't do the homework. (they're too busy or are unwilling to put in the effort)
4. Many things are complicated, they entail tradeoffs because there are no good answers. (they have to be studied from many perspectives and many layers deep because of their complexity - "Ogres" was a fun reminder when they were young)
5. People say stuff. (could be blind parroting, intentional deception, best understanding that comes up short, or simply valid)