So, who invented ice cream?
The honest answer: everyone, slowly.
There is no single inventor of ice cream. The dessert we now recognize as ice cream is the result of many separate breakthroughs: people learned to flavor snow and ice, sweeten fruit syrups, chill dairy, freeze custards with ice and salt, churn mixtures smooth, move ice across long distances, manufacture freezers, and eventually keep a pint in the kitchen without needing a cellar full of winter.
That is what makes ice cream history so entertaining. It is not a tidy origin story. It is a relay race: ancient flavored ices hand the baton to sherbets, sherbets to milk ices, milk ices to cream desserts, cream desserts to hand-cranked freezers, freezers to soda fountains, cones, trucks, soft serve, supermarket pints, and tiny shops inventing flavors faster than a menu board can keep up.