The model's dimensions: a form for argument

This paper explores the formal relationship between two observations of Objects, so related that one is a model of the other. Models are shown to have two dimensions with two directions, of the two types: iso- and homomorphic. The dimensions of models, made analogous to the dimensions of physics, are examined when a string of modelling processes is executed. Means of compressing such strings, using references to model dimensions and direction are shown, and the essential difference between iso- and homomorphic model is discussed, highlighting the non-model characteristics of iso- morphism. Finally, the analysis is applied to the form of arguments, allowing the checking of (for instance) analogies; and the proper level for the response in an argument is revealed.