The unique importance of some notions is directly linked to their indivisibility.
The presence or absence of qualities such as genuine courage often depends on such considerations.
Indivisibility presents us with the need to choose sides - to be among those who choose to bend (sometimes demonstrating humiliating flexibility) or those who risk breaking or at least cracking in some fundamental way.
It is often more immediately productive to be of the former type, particularly on an individual level, but often on a social level as well. Compromise is the essence of diplomacy. Unfortunately I cannot resist the romantic and symbolic importance of the latter brittle variety, particularly when speaking of long-term individual and social considerations. Productive social progress often depends on strong symbols, often on the determination and the dedicated, educated inflexibility of one person. Both groups may be useful depending on our perspective, but my position is clear, I prefer to be among those who risk breaking.