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The doctrinal paradox, the discursive dilemma,and logical aggregation theory

机译：教义悖论，话语困境和逻辑聚合理论

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摘要

Judgment aggregation theory, or rather, as we conceive of it here, logical aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all kinds instead of merely preference judgments. It derives from Kornhauser and Sager's doctrinal paradox and List and Pettit's discursive dilemma, two problems that we distinguish emphatically here. The current theory has developed from the discursive dilemma, rather than the doctrinal paradox, and the final objective of the paper is to give the latter its own theoretical development along the line of recent work by Dietrich and Mongin. However, the paper also aims at reviewing logical aggregation theory as such, and it covers impossibility theorems by Dietrich, Dietrich and List, Dokow and Holzman, List and Pettit, Mongin, Nehring and Puppe, Pauly and van Hees, providing a uniform logical framework in which they can be compared with each other. The review goes through three historical stages: the initial paradox and dilemma, the scattered early results on the independence axiom, and the so-called canonical theorem, a collective achievement that provided the theory with its specific method of analysis. The paper goes some way towards philosophical logic, first by briefly connecting the aggregative framework of judgment with the modern philosophy of judgment, and second by thoroughly discussing and axiomatizing the 'general logic' built in this framework.
机译：判断聚合理论，或者更确切地说，正如我们在此处所设想的那样，逻辑聚合理论通过使聚合规则依赖于各种判断而不是仅仅基于偏好判断来概括社会选择理论。它源于科恩豪瑟和萨格的教义悖论，以及李斯特和佩蒂特的话语困境，这是我们在这里着重区分的两个问题。当前的理论是从话语困境而不是教义悖论发展而来的，本文的最终目的是根据Dietrich和Mongin的最新工作为后者提供自己的理论发展。但是，本文还旨在回顾逻辑聚集理论，它涵盖了Dietrich，Dietrich和List，Dokow和Holzman，List和Pettit，Mongin，Nehring和Puppe，Pauly和van Hees的不可能定理，提供了统一的逻辑框架它们可以相互比较。回顾经历了三个历史阶段：最初的悖论和困境，关于独立公理的分散的早期结果，以及所谓的规范定理，这是一项集体成就，为理论提供了特定的分析方法。本文首先朝着哲学逻辑的方向发展，首先是将总体的判断框架与现代的判断哲学简单地联系起来，其次是通过彻底讨论和公理化构建在该框架中的“一般逻辑”。

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