Some Potential Loopholes for Welfarist Axiology

Abstract

DRAFT In what follows, we will attempt to point out two technical loopholes in the proof of the “Impossibility Theorem for Welfarist Axiologies” as proposed by Gustaf Arrhenius (Arrhenius, 2000). The two problems arise from different principles, one from an application of the “Addition Principle” and one from an application of the “Dominance Principle” after a counterintuitive combination of the “No Repugnant/Anti-Egalitarian Conclusion” criteria, the former non-fatal and latter fatal. We will show that these problems arise via two methodologies. 1) We appeal to intuitions with counterexample cases. 2) We replace ordinal priority-ordering with cardinal utility functions (von Neumann & Morgenstern, 1944). If correct, our critique shows that at least one avenue is available to welfarist axiology, which reopens the possibilities of the search for a “Theory X” (Parfit, 1984). DRAFT

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Walter Barta
University of Houston

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