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:
“And shall I prime my children, pray, to pray?”
—Gwendolyn Brooks (b. 1917)
“Research shows clearly that parents who have modeled nurturant, reassuring responses to infants’ fears and distress by soothing words and stroking gentleness have toddlers who already can stroke a crying child’s hair. Toddlers whose special adults model kindliness will even pick up a cookie dropped from a peer’s high chair and return it to the crying peer rather than eat it themselves!”
—Alice Sterling Honig (20th century)