In mathematics, and in particular model theory, a prime model is a model which is as simple as possible. Specifically, a model is prime if it admits an elementary embedding into any model to which it is elementarily equivalent (that is, into any model satisfying the same complete theory as ).
Read more about Prime Model: Cardinality, Relationship With Saturated Models
Famous quotes containing the words prime and/or model:
“Being prime minister is a lonely job.... you cannot lead from the crowd.”
—Margaret Thatcher (b. 1925)
“If the man who paints only the tree, or flower, or other surface he sees before him were an artist, the king of artists would be the photographer. It is for the artist to do something beyond this: in portrait painting to put on canvas something more than the face the model wears for that one day; to paint the man, in short, as well as his features.”
—James Mcneill Whistler (1834–1903)