Towards a unified framework for decomposability of processes

Synthese 194 (11):4411-4427 (2017)
The concept of process is ubiquitous in science, engineering and everyday life. Category theory, and monoidal categories in particular, provide an abstract framework for modelling processes of many kinds. In this paper, we concentrate on sequential and parallel decomposability of processes in the framework of monoidal categories: We will give a precise definition, what it means for processes to be decomposable. Moreover, through examples, we argue that viewing parallel processes as coupled in this framework can be seen as a category mistake or a misinterpretation. We highlight the suitability of category theory for a structuralistic interpretation of mathematical modelling and argue that for appliers of mathematics, such as engineers, there is a pragmatic advantage from this.
Keywords Mathematical modelling  Category theory  Structuralism  Process  Decomposition
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DOI 10.1007/s11229-016-1139-4
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The "Structure" of Physics: A Case Study.Jill North - 2009 - Journal of Philosophy 106 (2):57-88.
Categorical Generalization and Physical Structuralism.R. Lal & N. Teh - 2017 - British Journal for the Philosophy of Science 68 (1).

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Categorical Generalization and Physical Structuralism.R. Lal & N. Teh - 2017 - British Journal for the Philosophy of Science 68 (1).


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