(n.) The quality or state of being universal; unlimited extension or application; generality; -- distinguished from particularity; as, the universality of a proposition; the universality of sin; the universality of the Deluge.

all-comprehensiveness all-inclusiveness boundlessness catholicity completeness comprehensiveness cosmopolitanism countlessness ecumenicalism ecumenicity endlessness entireness entirety eternity exhaustiveness exhaustlessness forever fullness generality generalization globalism globality holism illimitability immeasurability immensity incalculability inclusiveness incomprehensibility inexhaustibility infiniteness infinitude infinity innumerability intactness integrality integrity interminability internationalism limitlessness measurelessness numberlessness omnipresence perpetuity pervasiveness solidarity solidity termlessness thoroughness total approach totality ubiquity unity unmeasurability wholeness world without end worldwideness