There are multicriterial problems in theoretical deliberation as well. Okasha (2011) uses the Arrow-Sen framework to study the problem of choosing among rival scientific theories by criteria including fit to data, simplicity, and scope. He argues that the impossibility theorem threatens the rationality of theory choice. See Morreau (2015) for a reason to think that it does not apply to this problem, and Morreau (2014) for a demonstration that impossibility theorems relevant to single profile choice (see  Sections 2.2 and 5.1)  might sometimes apply even so. In related work, Jacob Stegenga (2013) argues that Arrow’s theorem limits the possibilities for combining different kinds of evidence. Eleonora Cresto and Diego Tajer (forthcoming) counter that confirmational holism requires a restriction on the domains of evidence-aggregation functions that blocks Stegenga’s argument: they cast the Duhem problem in a positive light as one aspect of a phenomenon that makes evidence aggregation possible.