There are certain rabbinic debates where one can only say thank G-d that we do not follow a certain view. Such would be the case in the debate regarding the definition of a mamzer. Halacha has accepted the view that in order to be declared a mamzer one must be the product of an adulterous or incestuous relationship.
As a teacher one of my favorite parts of my work is parent teacher meetings. I (usually) find it most interesting talking to parents in general and hearing the comments their children have told them in particular. Yet one of the most frustrating comments for me to have to say and for a parent to hear is that “Chaim is very bright, and a good student - when he wants to be. He could achieve much better results if he only put in more consistent effort.”
Perhaps the most famous Talmudic story is that of the convert who wants to learn the entire Torah while standing on one foot. For good reason Shammai threw him out of his home yet Hillel famously responded "what is hateful to you do not do to others, all the rest is commentary, go and learn." (Shabbat 31a) This is a beautiful and profound answer, much more than we generally realize.
One of the marks of a great person is the ability to change one’s mind. While such may end the career of a politician it demonstrates intellectual maturity. The willingness to integrate new material and ideas into our worldview brings vitality and increased creativity to the issues at hand.