open access

https://hdl.handle.net/2115/43237

Measurement-Theoretic Foundation of Threshold Utility Maximiser's Preference Logic

英語

representation theorem

2010

Center for Applied Ethics and Philosophy (CAEP), Graduate School of Letters, Hokkaido University

SOCREAL 2010: Proceedings of the 2nd International Workshop on Philosophy and Ethics of Social Reality

83-214

SOCREAL 2010: 2nd International Workshop on Philosophy and Ethics of Social Reality. Sapporo, Japan, 2010-03-27/28. Session 1: Obligations and Preferences

The first problem of this paper is as follows: what kind of preference logic can formalise inferences in which indifference is not transitive? (Nontransitivity Problem) The aim of this paper is to propose a new version of complete and decidable extrinsic preference logic–threshold utility maximiser's preference logic (TUMPL) that can solve the Nontransitivity Problem. Generally, preference logics are in danger of inviting the following problem: almost every principle which has been proposed as fundamental to one preference logic has been rejected by another one. (Fundamental Problem of Intrinsic Preference) A corollary of the Scott-Suppes theorem in measurement theory enables TUMPL to avoid the Fundamental Problem of Intrinsic Preference.

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