Can There Ever Be Another Worthwhile Philosophical System? Belief in the importance of abstraction/generality is a belief of a higher logical order, and therefore by nature it assists in building bridges between beliefs of lower logical orders. — Adam Hilstad
And I would counter with a quote from the final sentence of the book I just finished now by Max Scheler, in the final essay on "Idealism and Realism." He is discussing the illusion that there is some kind of "lawful formal-mechanical structure" that is independent of the vital life-projects of a living being:
"It is only if we are not conscious of the artificial abstraction from the existential relativity of this structure to life and of life, in turn, to spirit, that the illusion is created that this structure is valid for the absolute reality of the world."
There isn't any way to completely abstract from the lived-experience of the life-project, which is fundamental; more fundamental than the notion of some abstract objective reality, which is an illusion. If there is a higher logical order, it is being created through moral action, I would say. In which case, belief-systems and life-projects are indispensable.
Scheler's project of "essential intuition" (his version of the phenomenological reduction) does involve abstracting from all "vital projects" of life in order to intuit the essence of the real. Perhaps that is the bridge. but this essential intuition is personal, not communicative. I believe in the context of communication, we are thrust back into the realm of the project of coordinating belief systems (discourse theory, deliberative democracy, Parsons, Habermas, etc.)