In mathematical logic, and particularly in its subfield model theory, a saturated model is one that realizes as many complete types as may be "reasonably expected" given its size. For example, an ultrapower model of the hyperreals is ℵ 1 {\displaystyle \aleph _{1}} -saturated, meaning that every descending nested sequence of internal sets has a nonempty intersection.
In mathematical logic, and particularly in its subfield model theory, a saturated model is one that realizes as many complete types as may be "reasonably expected" given its size. For example, an ultrapower model of the hyperreals is ℵ 1 {\displaystyle \aleph _{1}} -saturated, meaning that every descending nested sequence of internal sets has a nonempty intersection.
Source: Wikipedia "Saturated model" · CC BY-SA 4.0
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