Secularity
Secularity (adjective form secular, from Latin saecularis meaning "worldly" or "temporal") is the state of being separate from religion, or of not being exclusively allied with or against any particular religion.
For instance, one can regard eating and bathing as examples of secular activities, because there may not be anything inherently religious about them. Nevertheless, some religious traditions see both eating and bathing as sacraments, therefore making them religious activities within those world views. Saying a prayer derived from religious text or doctrine, worshipping through the context of a religion, and attending a religious school are examples of religious (non-secular) activities.
A related term, "secularism", involves the principle that government institutions and their representatives should remain separate from religious institutions, their beliefs, and their dignitaries. Most businesses and corporations, and some governments, operate on secular lines.
Etymology and definitions