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In response to this challenge, most interpretations of this thought experiment build in substantive assumptions about what sorts of conditions are sufficient for making it the case that experiences represent one color property rather than another.
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In other words, substantive assumptions are about how, and how much, information is imparted to the agents, over and above those that are intrinsic to the mathematical formulation of the structures used to describe the players' information.
Of course, we can question the other substantive assumptions built-in to this model (e.g., at \(w_1\), Bob knows that Ann does not know he will choose \(L\)) and continue modifying the model.
More generally, there are no models of games, as we defined in Section 2, where it is not common knowledge that the players believe all the logical consequences of their beliefs.[19] Can we compare models in terms of the number of substantive assumptions that are made?
The Reciprocity Principle attempts to generalize over the different published reciprocity principles; different substitutions of the variables correspond to making different substantive assumptions and result in different reciprocity principles.
By way of contrast, substantive assumptions are required to draw inferences in other cases.
In particular, while Pearl and SGS do not offer analyses or definitions of causation in the traditional philosophical sense, the methods that they have developed rest on substantive assumptions about the relationship between causation and probability.
Intuitively, a structure without any substantive assumptions must represent all possible states of (higher-order) information.
Are there models that make no, or at least as few as possible, substantive assumptions?
Feminist philosophy of religion suggests ways in which gender as an analytic category and gender studies as a body of knowledge can not only challenge but also enrich and inform the methodological and substantive assumptions of philosophy of religion.
In light of disagreement about which entities play the role of possible worlds, no characterization of haecceitism that makes substantive assumptions about the nature of possible worlds will prove acceptable to all ersatzists.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com