On "being wrong often and admitting it," based on my experience, it's not that you become modest as a result of studying math. By studying math, you realize how

On "being wrong often and admitting it," based on my experience, it's not that you become modest as a result of studying math. By studying math, you realize how prone your mind is to arriving at a faulty, unproven conclusion, and you learn to be more skeptical of your own thinking and become more at ease with being "wrong", allowing yourself to let your intellectual guard down. Indeed...math if anything promotes mental hygiene.