Abstract
This paper analyzes two ways idealized biological models produce factive scientific understanding. I then argue that models can provide factive scientific understanding of a phenomenon without providing an accurate representation of the (difference-making) features of their real-world target system(s). My analysis of these cases also suggests that the debate over scientific realism needs to investigate the factive scientific understanding produced by scientists’ use of idealized models rather than the accuracy of scientific models themselves.
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Notes
While Strevens’s account does allow some idealized models to explain, accurate representation continues to play a key role since, “the overlap between an idealized model and reality…is a standalone set of difference-makers for the target” (Strevens 2009, p. 318).
Indeed, mechanistic accounts of explanation typically include strong accurate representation requirements in order for a model to explain (Craver 2006; Kaplan and Craver 2011). For example, David Kaplan and Carl Craver argue for a model-to-mechanism-mapping (3 M) requirement that involves various kinds of “correspondence” between the model and the actual causal mechanisms in the model’s target system (Kaplan 2011, p. 347).
However, Levy (2012) goes on to argue that if we understand fictions in a particular way we can maintain realism.
In what follows I adopt something similar to counterfactual accounts of explanation that focus on a model’s ability to answer what-if-things-had-been-different questions (Bokulich 2011, 2012; Rice 2015; Woodward 2003). However, my goal here is not to argue for a particular account of scientific explanation, but to investigate how the information provided by idealized models is able to produce factive scientific understanding.
Here I explicitly put things in terms of counterfactual (or modal) relevance and irrelevance in order to remain neutral on the need to reveal causal relations in order to provide understanding of a phenomenon. Indeed, it has been argued that optimization models provide noncausal explanations (Rice 2012, 2015), that natural selection is not a cause (Walsh et al. 2002; Matthen and Ariew 2009), and that only counterfactual information (but not causal information) is required for explanation (Bokulich 2011, 2012; Rice 2015). In order to remain as neutral as possible in this paper, I maintain the focus on counterfactual relevance, which can encompass both causal and noncausal kinds of relevance.
For considerations of space I do not work through all the detailed equations of the model (those interested should see Schmid-Hempel et al.’s original article).
Of course, just how one understands what it means to “accurately represent” matters here. For example, one could argue that these models accurately represent the counterfactual structure of the phenomenon, but misrepresent (e.g. with a fictional ontology) the entities, relations, and processes of that phenomenon. If this could be maintained, then one might claim that these models produce this factive understanding only by accurately representing these counterfactual relations. However, I suggest that the distortion of the kinds of entities, relationships, and difference-making processes of their target phenomena entails that these models also distort the counterfactual structure of the target phenomena in some way. That is, this counterfactual structure cannot be easily isolated from the entities, relations, and processes of the phenomenon. Instead, that true counterfactual information typically has to be inferred by the scientific modelers who incorporate the results of the model into their larger set of background beliefs and assumptions. That is, the true counterfactual structure cannot be simply “read off” the idealized model that mirrors that structure.
In other cases, a model might be used to draw inferences about real-world systems even when the modeler is unsure whether the assumptions of the model are true or false. Alternatively, a model might lead to some false implications along with some true ones. All of these are important cases that require additional analysis. What I wish to focus on here, however, is that even when scientists know which assumptions of their models are false, when those idealizations play essential roles in the model and cannot be replaced with alternative assumptions, precisely how they are able to acquire factive understanding requires detailed analysis of particular cases. The various additional ways that this might occur will have to be analyzed in future work.
These hypothetical models are similar to what other authors have called “toy” models in that they are highly simplified and aim to provide insights concerning only a few key aspects of the target phenomenon. However, while many toy models (e.g. the Ising model) are claimed to capture the crucial features that produce the phenomenon, not all hypothetical models will achieve this goal. Therefore, while they are certainly related, hypothetical models are not the same as toy models. Toy models may, however, be a species of hypothetical model that accomplishes particular goals for the modeler.
Odenbaugh (2005) also discusses the use of idealized models to explore possibilities and answer how-possibly questions.
In addition, one way to think about the difference is that system-specific models will typically yield more counterfactual information and that information will be focused on more specific changes to the actual features of the system. Hypothetical modeling, in contrast, will often explore the possibility space in which features differ more dramatically from those of the actual system. These differences may be important for certain kinds of understanding, but my goal here is to highlight the similarities in the ways that these two kinds of models produce a similar cognitive achievement by providing similar kinds of information.
However, this version of realism may only be applicable to model-based theorizing.
While a complete remodeling of the debate over scientific realism may not be required, these additional questions ought to be part of the story or at least need to be investigated before we can adequately determine whether scientific inquiry can provide the kind of truth and continuity that is typically required of realism.
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Acknowledgments
This research was partially supported by a Lycoming College Professional Development Grant. I would like to thank Yasha Rohwer, Kyle Stanford, Michael Weisberg, and Angela Potochnik for helpful discussion and comments on previous versions of this work.
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Rice, C.C. Factive scientific understanding without accurate representation. Biol Philos 31, 81–102 (2016). https://doi.org/10.1007/s10539-015-9510-2
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DOI: https://doi.org/10.1007/s10539-015-9510-2