Tag Archives: original

Reflections on Abstractions: Roaming the Subsumption Continuum

We make the step from basic kinds of subsuming abstractions to real world modelling problems, by introducing the subsumption continuum. Continue reading

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Reflections on Abstractions: Subsumption I

We’re going to look at a subsumptional mapping from lhs original to rhs model. We will get four cases of subsumption as in figure (strictest cases), which now can be developed into a continuum with the four cases as corner points. Continue reading

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Reflections on Abstractions: The Use Case trade-off

Based on the elementary terms of relational structures, this little example shows the basic trade-off of Use Cases: understandability vs redundancy. Continue reading

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Reflections on Abstractions: Adjacent Rooms

Example of an abstraction by subsuming directly connected nodes in the original into a single node in the model. This corresponds to a situation where structures of wall are abstracted to rooms with the neighborhood relation. Continue reading

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Examples of Preterition and Abundance in Modelling

In addition to the earlier posting “Stachowiak on Preterition and Abundance in Modelling” here are some examples of Preterition and Abundance in Photography, Use Case Models, and Graph or Flow notations. Continue reading

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Stachowiak on Preterition and Abundance in Modelling

In his 1973 book “Allgemeine Modelltheorie” Herbert Stachowiak discusses the concepts of Preterition, Abundance and Contrastation of Original-Model mappings. This can be interpreted using homomorphism preservation and other logical concepts. Continue reading

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