The Adequacy of a Model

The novel notion of a model

A model is a well-formed, adequate and dependable instrument that represents other origins within some context based on criteria of adequacy and dependability commonly accepted by its community of practice. A model has - as an instrument - its background with a undisputable grounding of the sub-discipline and with a basis consisting of chosen elements from the sub-discipline. A model is functioning if it is combined with utilisation/deployment methods. A functioning model is effective if it can be successfully deployed according to its deployment scenarios and its portfolio. They thus function in the application scenario ('deployment games').

An instrument is called well-formed if it satisfies a well-formedness criterion. An instrument has a profile. The profile is based on the goal or purpose or function of the instrument. If the instrument is devoted to its profile the instrument is called purposeful.

Given the following criteria, measures, and thresholds:

  1. an analogy criterion or an analogy measure for origins that the instrument represents and an analogy threshold,
  2. a focus for origins, a complexity criterion and a simplification threshold .
for an instrument that we want to use as a model.

A well-formed instrument is adequate

for a collection of origins if
Simplicity has often been considered to be the main variant for focusing: Given a complexity measure for origins and a simplification threshold . An instrument is simpler than the origins according to some complexity criterion within the simplification threshold.

Some recent papers by B. Thalheim on models and modelling

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