Essentialism says the category is out there in the thing; nominalism says the category is in our naming. Same table, two stories about where 'table-ness' lives — and the disagreement is about whether the world comes pre-sorted or whether we do the sorting.
Side by side
Aspect
Essentialism
Nominalism
Categories live
In things
In language
Kinds are
Discovered
Made
World is
Pre-sorted
Sorted by us
Ancient champion
Aristotle
Later medievals
What each one means
Essentialism
Essentialism is the view that a thing has certain properties it must have to be what it is, as opposed to properties it merely happens to have. In the social sciences it also names the belief that every member of a group — a race, a sex, a nationality — shares one inherent underlying nature.