Omniscience

The Bible also states that he has all the exclusive attributes of a divine being, omnipotence, omniscience, omnipresence, eternity, sovereignty, and immortality.

Big Data is striving for omniscience.

Near-synonyms: all-seeingness, omnividence

Many people believe in God's omniscience.

If, a few pages back, the present writer claimed the privilege of peeping into Miss Amelia Sedley's bedroom, and understanding with the omniscience the novelist all the gentle pains and passions which were tossing upon that innocent pillow, why should he not declare himself to be Rebecca's confidante too, master of her secrets, and seal-keeper of that young woman's conscience?