David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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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|
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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.
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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.
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