In the book extract the author states "to be self-aware means recognizing the limits of self-hood". What self-awareness actually is as all awareness developed belongs to the self. The carrier and the carriage. The carrier being the self and the carriage is awareness. Self-awareness, is therefore awareness, the carriage, about the carrier. And the limits are set as the self-hood, the material object, obeys the laws of nature.
Can self-awareness be awareness about our awareness? Awareness looking at itself and not the carrier. Self-aware, to be aware of being aware. But that requires mental thought and use of concepts, the realm of consciousness. Does self-awareness develop when consciousness kicks in?