Abstract
Abstraction is one of the important processes in scientific modeling. It has always been implied that abstraction is an agent-centric activity that involves the cognitive processes of scientists in model building. I contend that there is an autonomous aspect of abstraction in many modeling activities. I argue that the autonomous process of abstraction is continuous with the agent-centric abstraction but capable of evolving independently from the modeler’s abstraction activity.
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Notes
Leonelli (2008) distinguishes between abstraction as an activity and abstraction as an attribute of models. I focus on abstraction as an activity/process in this paper.
This view is consistent with Giere’s (2010) and Levins’s (2006) view that abstractions as a process are neither true nor false but reflecting the choice of scientists in modeling. Though scientists have no intention to make a false description or explanation of the target phenomenon in the process of abstraction, there is no guarantee that they are able to truthfully and accurately model the phenomenon of interest.
A theoretical model is non-material and always characterized with equations, formalisms or fictional objects. In contrast, a material model consists of material objects as its parts. A material model can be a living thing (e.g., model organisms) or a non-living physical object (e.g., a scale model).
My broad definition of a theoretical model (and of a material model below) will not affect my argument that an autonomous process of abstraction does have an epistemic role to play in scientific modeling.
The moving-out of a discontented individual of race X will change the state of the racial constitution of the neighborhood, reducing the number of race X in that neighborhood. The other Xs in that neighborhood are more likely to become discontented (according to the rule of movement) following the movement of an individual X, which will lead to more Xs to leave and change the state of the racial constitution that may result in a sharp racial segregation. Similarly, the movement of an individual into a new neighborhood will change the state of the racial constitution of that new neighborhood and the psychological state of the existing individuals.
Material models are widely used in teaching. Students who are manipulating a ball-and-stick model of molecules can learn an abstraction process through removing certain parts from the model. For instance, students learn that a hydrogen atom can be abstracted away from a molecule by removing a white plastic sphere (which represents a hydrogen atom) from the model (see Toon 2011).
Due to space constraint, I leave it for other occasions.
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Tee, SH. Abstraction as an Autonomous Process in Scientific Modeling. Philosophia 48, 789–801 (2020). https://doi.org/10.1007/s11406-019-00092-6
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DOI: https://doi.org/10.1007/s11406-019-00092-6