After reading Leviathan Chapter 18, I can put up a summary of Carmen's views and arguements.
Carmen believes that every action we take is fundamentally driven by self-interest. Any action we take for another, we're really only taking for ourselves. Because the only person in the world who can fully understand yourself and see yourself in its totality is
you. No one else can understand and love you as truly as you can, so self-love is really the only one that's real.
In this world, everyone has their own colors/world they want to make. So, everyone has to do their best to protect their own colors. Even if a difficult ordeal looms ahead, they have to be willing to fight and win. Fighting each other with things like reason and tools contaminates you. It doesn't always happen quickly, but engaging people like that dilutes your desires until your color,
what you truly want, becomes faded and forgotten. We've seen this happen in the City, and even with Capone to an extent.
By turning people into Distortions, Carmen helps others paint the City in their own colors and create the world they think is right. She helps the people of the City love themselves and reveal the true shape and color of 'them,' which is what E.G.O. Manifestations and Distortions are, essentially.
The Distortions are those who reveal the true shape and color of their hearts, while others may call them twisted or abnormal. From the Distortion's point of view, it is
they who are abnormal. Distortions become fundamentally themselves without being bound by The City's views and standards.
Capone, for example, becomes more 'himself' by Distorting, unbound by things like 'Siracusa' or 'Family' because those things only ever cared about the puppet they strung up with their rules.
In Verguilius' words:
Verguilis said:
A world where I must fight against everything like a starving beast and create my own world with an endless thirst.
If I go in the direction the voice tells me to go, it will probably be sweet but will never get me where I want to go.