David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 140 (1-2):207 - 235 (2004)
The ``doctrinal paradox'' or ``discursive dilemma'' shows that propositionwise majority voting over the judgments held by multiple individuals on some interconnected propositions can lead to inconsistent collective judgments on these propositions. List and Pettit (2002) have proved that this paradox illustrates a more general impossibility theorem showing that there exists no aggregation procedure that generally produces consistent collective judgments and satisfies certain minimal conditions. Although the paradox and the theorem concern the aggregation of judgments rather than preferences, they invite comparison with two established results on the aggregation of preferences: the Condorcet paradox and Arrow's impossibility theorem. We may ask whether the new impossibility theorem is a special case of Arrow's theorem, or whether there are interesting disanalogies between the two results. In this paper, we compare the two theorems, and show that they are not straightforward corollaries of each other. We further suggest that, while the framework of preference aggregation can be mapped into the framework of judgment aggregation, there exists no obvious reverse mapping. Finally, we address one particular minimal condition that is used in both theorems – an independence condition – and suggest that this condition points towards a unifying property underlying both impossibility results.
|Keywords||Philosophy Philosophy Epistemology Logic Metaphysics Philosophy of Language|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Fabienne Peter (2007). Rawls' Idea of Public Reason and Democratic Legitimacy. Journal of International Political Theory 3 (1):129-143.
Fabrizio Cariani, Marc Pauly & Josh Snyder (2008). Decision Framing in Judgment Aggregation. Synthese 163 (1):1 - 24.
Fabrizio Cariani (2011). Judgment Aggregation. Philosophy Compass 6 (1):22-32.
Christian List (2011). Group Communication and the Transformation of Judgments: An Impossibility Result. Journal of Political Philosophy 19 (1):1-27.
Similar books and articles
Christian List (2012). Judgment Aggregation: A Short Introduction. In U. Maki (ed.), Handbook of the Philosophy of Economics. Elsevier.
Daniele Porello (2010). Ranking Judgments in Arrow's Setting. Synthese 173 (2):199 - 210.
Franz Dietrich & Christian List (2007). Arrow's Theorem in Judgment Aggregation. Social Choice and Welfare 29 (1):19-33.
Christian List & Philip Pettit (2002). Aggregating Sets of Judgments: An Impossibility Result. Economics and Philosophy 18 (1):89-110.
Philippe Mongin (2008). Factoring Out the Impossibility of Logical Aggregation. Journal of Economic Theory 141:p. 100-113.
Christian List & Ben Polak (2010). Introduction to Judgment Aggregation. Journal of Economic Theory 145 (2):441-466.
Christian List & Philip Pettit (2004). Aggregating Sets of Judgments: Two Impossibility Results Compared. Synthese 140 (1/2):207 - 235.
Added to index2009-01-28
Total downloads47 ( #49,867 of 1,696,514 )
Recent downloads (6 months)12 ( #47,596 of 1,696,514 )
How can I increase my downloads?