Something entire is, at its Latin root, something nobody has touched. The word descends from Old French entier, which came from Latin integer, built from in- ('not') and tangere ('to touch'). For the Romans, integer described anything whole and undamaged — a wall without cracks, a reputation without stains, a number without fractions. Old French reshaped integer into entier through regular sound changes, and English borrowed this form in the 14th century. The remarkable thing about integer is how many distinct English words it produced through separate borrowing events. Entire came via French. Integer was borrowed directly from Latin by mathematicians who needed a term for whole numbers. Integrity arrived through the moral sense of being 'whole' or uncorrupted. And integral followed for things essential to a complete whole. All four words share the same DNA: the idea that wholeness means being untouched.