Model-Based Design is increasingly adopted in industry. This has resulted in a need for supporting an enterprise-wide use of models. As such, it has to be dealt with computational models that are designed in many different formalisms, that have very different computational semantics, and that capture the same parts at very different levels of detail or in different stages of design. A Computer Automated Multiparadigm Modeling (CAMPaM) framework is outlined that can be used to support and facilitate Model-Based Design. In addition to recent CAMPaM research, hybrid dynamic systems are presented as a mathematical framework for execution. Paradigmatic and pathological behaviors are illustrated by means of a multiple phase space transition ontology.