David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 158 (1):75 - 92 (2007)
In this paper, we show that Arrow’s well-known impossibility theorem is instrumental in bringing the ongoing discussion about verisimilitude to a more general level of abstraction. After some preparatory technical steps, we show that Arrow’s requirements for voting procedures in social choice are also natural desiderata for a general verisimilitude definition that places content and likeness considerations on the same footing. Our main result states that no qualitative unifying procedure of a functional form can simultaneously satisfy the requirements of Unanimity, Independence of irrelevant alternatives and Non-dictatorship at the level of sentence variables. By giving a formal account of the incompatibility of the considerations of content and likeness, our impossibility result makes it possible to systematize the discussion about verisimilitude, and to understand it in more general terms.
|Keywords||Verisimilitude Truthlikeness Truth-content Arrow’s theorem Preference aggregation Min-sum measure|
|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
T. Britton (2004). The Problem of Verisimilitude and Counting Partially Identical Properties. Synthese 141 (1):77 - 95.
Isabella C. Burger & Johannes Heidema (1994). Comparing Theories by Their Positive and Negative Contents. British Journal for the Philosophy of Science 45 (2):605-630.
Isabella Cornelia Burger & Johannes Heidema (2002). Merging Inference and Conjecture by Information. Synthese 131 (2):223 - 258.
Howard Darmstadter (1975). Better Theories. Philosophy of Science 42 (1):20-27.
Geoffrey Gorham (1996). Similarity as an Intertheory Relation. Philosophy of Science 63 (3):229.
Citations of this work BETA
Gustavo Cevolani, Vincenzo Crupi & Roberto Festa (2011). Verisimilitude and Belief Change for Conjunctive Theories. Erkenntnis 75 (2):183-202.
Gustavo Cevolani, Roberto Festa & Theo A. F. Kuipers (2013). Verisimilitude and Belief Change for Nomic Conjunctive Theories. Synthese 190 (16):3307-3324.
Similar books and articles
R. Routley (1979). Repairing Proofs of Arrow's General Impossibility Theorem and Enlarging the Scope of the Theorem. Notre Dame Journal of Formal Logic 20 (4):879-890.
Gerard Renardel de Lavalette & Sjoerd Zwart (2011). Belief Revision and Verisimilitude Based on Preference and Truth Orderings. Erkenntnis 75 (2):237-254.
Christian List & Philip Pettit (2002). Aggregating Sets of Judgments: An Impossibility Result. Economics and Philosophy 18 (1):89-110.
Ken Gemes (2007). Verisimilitude and Content. Synthese 154 (2):293 - 306.
Philippe Mongin (2008). Factoring Out the Impossibility of Logical Aggregation. Journal of Economic Theory 141:p. 100-113.
Christian List & Philip Pettit (2004). Aggregating Sets of Judgments: Two Impossibility Results Compared. Synthese 140 (1-2):207 - 235.
Christian List & Philip Pettit (2004). Aggregating Sets of Judgments: Two Impossibility Results Compared. Synthese 140 (1/2):207 - 235.
Alfred F. Mackay (1973). A Simplified Proof of an Impossibility Theorem. Philosophy of Science 40 (2):175-177.
Joseph Wayne Smith (1984). What is Wrong with Verisimilitude. Philosophy Research Archives 10:511-541.
Added to index2009-01-28
Total downloads88 ( #16,310 of 1,139,891 )
Recent downloads (6 months)42 ( #3,164 of 1,139,891 )
How can I increase my downloads?