A model is an instance of a meta-model.
A meta-model is a model.
This naturally leads to a hierarchy of meta-meta-models (meta2-models), meta3-models, etc.
The UML specification employs four levels of meta-models: M0, M1, M2, and M3.
An object diagram can be viewed as a level 0 model (M0) that instantiates a class diagram.
A class diagram can be viewed as a level 1 meta-model (M1) that instantiates a level 2 meta2-model.
The level 2 meta2 model (M2) is the UML specification. M2 instantiates OMG's Meta-Object Facility (MOF), which is a level 3 meta3-model (M3).