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MDA per se is relaxed about exactly what models it transforms, so long as the modeling language in which the models are expressed can be defined.

— Stephen J. Mellor

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What's really going on is that Executable UML is a concurrent specification language.

Executable UML is at the next higher layer of abstraction, abstracting away both specific programming languages and decisions about the organization of the software so that a specification built in Executable UML can be deployed in various software environments without change.

Executable UML is designed to produce a comprehensive and comprehensible model of a solution without making decisions about the organization of the software implementation. It is a highly abstract thinking tool to aid in the formalization of knowledge, a way of thinking about and describing the concepts that make up an abstract solution to a client problem.

An object in OOA represents a single typical but unspecified instance of something in the real world - any airplane, I don't care which one, as long as it is typical. The object-oriented analyst distinguishes this concept from that of a specified instance: Airplane number N2713A, Air Force One, or The Spirit of St. Louis, for example.

Object-Oriented Systems Analysis: Modeling the World In Data (1988)

What's the point of having metamodels, and why should you care? Because models must be stated in a way that yields a common understanding among all involved parties, we need a way to specify exactly what a model means. Metamodels allow you to do just that: They specify the concepts of the language you're using to specify a model.

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Quote text and notes from Wikiquote: Stephen J. Mellor (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.