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Tag Archives: original
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
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
Posted in Mathematics, Reflections on Abstractions, Requirements, Software_Engineering
Tagged abstraction, BPMN, Diagram, Graph Theory, model, model theory, Modelling, original, redundancy, reflections on abstractions, relational structure, relationship, ROA, UML, Use Case, Use Case Model
2 Comments
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
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
Posted in Epistemology, Herbert Stachowiak, Software_Engineering
Tagged Abduction, abstraction, Actor, Allgemeine Modelltheorie, Definition, General Model Theory, Herbert Stachowiak, Homomorhism, Homomorphism preservation theorem, Labyrinth, Maze, model, model theory, Modelling, original, Preteritition, Stachowiak, Use Case, Use Case Model
5 Comments
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
Posted in Epistemology, Herbert Stachowiak
Tagged Abduction, abstraction, Allgemeine Modelltheorie, Contrastation, Definition, General Model Theory, Herbert Stachowiak, Homomorhism, Homomorphism preservation theorem, logic, Mapping, model, model theory, Modelling, original, Preteritition, Stachowiak
10 Comments
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