Is Tuesday named for a one-handed god?
c.1400, "innocence, blamelessness; chastity, purity," from Old French integrité or directly from Latin integritatem (nominative integritas) "soundness, wholeness, blamelessness," from integer "whole" (see integer). Sense of "wholeness, perfect condition" is mid-15c.
integrity in·teg·ri·ty (ĭn-těg'rĭ-tē)
The state of being unimpaired; soundness or wholeness.