ADJ-GRADED 顽固的；固执的 If you describe someone as pig-headed, you are critical of them because they refuse to change their mind about things, and you think they are unreasonable. 顽固的；固执的 [disapproval]
She, in her pig-headed way, insists that she is right and that everyone else is wrong.
她固执地坚持认为自己是对的，别人都是错的。
SYN stubborn, contrary, perverse, obstinate
pig-headedness
I am not sure whether this was courage or pig-headedness.