The Model’s Dimensions: A Form for Argument

Abstract

This paper explores the formal relationship between two descriptions of Objects, so related that one is a model of the other. These models are shown to have a dimension with two directions, and to be of two types—iso- and homo-morphic. 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 type and dimension, are shown, and the essential difference between iso- and homo-morphic models is discussed, highlighting the non-model characteristics of isomorphism. 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.