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There is no “inference within a model”

Published online by Cambridge University Press:  29 September 2022

Marco Facchin*
Affiliation:
Department of Human and Life Sciences, L&PIC (Linguistic and Philosophy IUSS Center), University School for Advanced Studies (IUSS) Pavia, Pavia 27100, Lombardy, Italy marco.facchin@iusspavia.it marco.facchin.marco.facchin@gmail.com

Abstract

I argue that there is no viable development of the instrumentalist inference within a model research program. I further argue that both Friston and Pearl blankets are not the right sort of tool to settle debates on philosophical internalism and externalism. For these reasons, the inference within a model program is far less promising than the target article suggests.

Type
Open Peer Commentary
Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press

In this commentary, I want to focus on the inference within a model research program, and briefly argue for two claims. If correct, these claims suggest that Bruineberg and co-authors present the inference within a model research program in a far too bright light.

First claim: Bruineberg and co-authors mischaracterize the instrumentalist development of that research program. They say that it is viable, but uninteresting. I think the opposite is true: It is not a viable development, but, if viable, it would be interesting.

Recall that, as the target article makes amply clear, (a) Pearl blankets only capture the patterns of (in)dependencies between variables in a model, which need not correspond to real boundaries in the world, and (b) Pearl blankets are model-dependent. Now, the instrumentalist inference within a model program uses Pearl blankets as a guide to find real boundaries in the world. Given (a) and (b), the success of such a program seems predicated on having at least a reliable rule of thumb to identify patterns of conditional independencies corresponding to real, worldly, systemic boundaries, as well as a reliable rule of thumb to identify the models that accurately capture the real structure of the modeled phenomena (as opposed to merely providing a parsimonious account of the data observed).

These rules of thumb would be interesting epistemic tools in their own right, and their usage would allow us to learn a great deal about the world. Moreover, while possessing these rules of thumb would not allow us to vindicate the most ambitious claims concerning Friston blankets in the literature on the free-energy principle (e.g., the claim that physical systems “possess” or “instantiate” Friston blankets, see Friston, Reference Friston2013), possessing these rules of thumb would be sufficient to allow Pearl blankets to play the boundary-defining role Friston blankets are currently supposed to play in the philosophical literature on the free-energy principle (Hohwy, Reference Hohwy2016, Reference Hohwy, Metzinger and Wiese2017; Kirchhoff & Kiverstein, Reference Kirchhoff and Kiverstein2021; Ramstead, Kirchhoff, Constant, & Friston, Reference Ramstead, Kirchhoff, Constant and Friston2019). This could (in principle) allow us to solve hotly discussed philosophical problems only by “doing the math” as many supporters of the free energy principle claim, which would be an interesting development.

Yet the instrumentalist inference within a model program is not really viable, because it is subtly circular. Recall that a Pearl blanket is defined as the union of three sets: the sets of parents, co-parent, and children of a target variable. This means that, in order to identify the Pearl blanket of a variable (or set thereof), we must have already identified the target, “blanketed” variable. If this is correct, the identification of the target variable logically precedes the identification of its Pearl blanket. This means that, in order to identify the Pearl blanket of a real-world system, we must have already identified the variable(s) mapping over that system. Hence we cannot identify systems, and the various variables describing their behavior, by identifying their Pearl blankets, on the pain of circularity. So, although the usage of Pearl blanket to identify the boundaries of a system suggested by the instrumentalist inference within a model would have interesting consequences is viable, it does not really seem viable.

Second claim: Neither Friston nor Pearl blankets can be used to satisfactorily solve the disputes surrounding various forms of philosophical internalism and externalism.

Consider that Friston and/or Pearl blankets have been used to “identify in a principled manner” all the relevant factors constituting some phenomena of interest (see, e.g., Clark, Reference Clark, Metzinger and Wiese2017; Hohwy, Reference Hohwy2016; Kirchhoff & Kiverstein, Reference Kirchhoff and Kiverstein2021). Consider further that in the relevant literature the presence of a Friston and/or Pearl blanket defines what counts as internal or external in the relevant sense. What is “surrounded” by the blanket counts as internal in the relevant sense, the rest counts as external (see Hohwy, Reference Hohwy, Metzinger and Wiese2017, pp. 6–7).

It is easy to see that the conjunction of these two ideas entails that all the factors constituting a phenomenon of interest count, by definition of “internal,” as internal. But this means that the conjunction of these two claims makes internalism true by definition. If this is a solution to the philosophical internalism/externalism debate, it is not a satisfactory solution.

For one thing, the truth value of some forms of internalism and externalism seems to depend on contingent matters of fact. For example, the debate concerning externalism/internalism about the vehicles of cognition and consciousness would surely be solved by the existence of non-biological props able to mimic cerebral processes sufficiently well (see Adams & Aizawa, Reference Adams, Aizawa, Robbins and Aydede2010, p. 78; Vold, Reference Vold2015). It is hard to see how such a debate, concerning at least in part matters of fact, could be solved by definition.

The same verdict holds for other debates concerning externalism and internalism. The truth value of externalism and internalism about knowledge and mental content, for example, depends on what content and knowledge are; that is, on their nature (cf. Bonjour, Reference Bonjour and Moser2005; Egan, Reference Egan, Beckermann, McLaughlin and Walter2009; Segal, Reference Segal, Beckermann, McLaughlin and Walter2009). But the nature of content and knowledge is not something that can be satisfactorily settled by definition. Surely no internalist or externalist should be allowed to win the day just by defining certain factors as internal or external!

Summarizing: in this commentary, I have tried to argue that the target article is wrong on the instrumentalist development of the inference within a model research program: it would be an exciting research program, if it were viable. But it is not viable. Furthermore, I have tried to argue that Friston and Pearl blankets are the wrong kind of tools when it comes to providing a satisfactory solution to the philosophical debates concerning externalism and internalism. If the arguments I have provided here are correct, the target article mischaracterizes the inference within a model research program: Its chances of success are far slimmer than Bruineberg and co-authors suggest.

Financial support

This research received no specific grant from any funding agency, commercial, or not-for-profit sector.

Conflict of interest

None.

References

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