If as nominalism supposes there are no objective universals, then there are no objective truths. Then there is no objective reality. There being no objective reality, there can then be no way that one man might understand or speak of reality more truthfully than another. So there can be no such thing as authority. Authority then is ipso facto null, and wherever asserted, is false and unjust. If authority is unjust per se, then justice might be possible only under conditions of anarchy, wherein each man rules his own life absolutely, and is free to make up his mind and shape his acts in whatever way he pleases.
Nominalism carried into practice then is liberalism: the thoroughgoing rejection of authority.
There are many sorts of liberalism: political, economic, grammatical, theological, liturgical, legal, sexual, aesthetic, gastronomical, cultural, architectural, academic, and so forth. All of them are subjects of discussion here, and at other orthospherean sites. All of them have in common the rejection of all authority other than the authority that imposes upon all men the requirement that they reject authority.
The project of authoritatively imposing the rejection of authority is of course incoherent. That doesn’t stop liberals from propagating liberalism. But it does stop liberalism from ever working.