An intuitionist conception of justice is, one might say, but half a conception.

Justice is happiness according to virtue.

Many of our most serious conflicts are conflicts within ourselves. Those who suppose their judgements are always consistent are unreflective or dogmatic.

Justice is the first virtue of social institutions, as truth is of systems of thought. A theory however elegant and economical must be rejected or revised if it is untrue; likewise laws and institutions no matter how efficient and well-arranged must be reformed or abolished if they are unjust.

Different political views, even if they're all liberal, in the sense of supporting liberal constitutional democracy, undoubtedly have some notion of the common good in the form of the means provided to assure that people can make use of their liberties, and the like.

A just society is a society that if you knew everything about it, you'd be willing to enter it in a random place.

The intolerant can be viewed as free-riders, as persons who seek the advantages of just institutions while not doing their share to uphold them.