Parity, interval value, and choice
Ethics 115 (2):331-350 (2005)
| Abstract | This paper begins with a response to Josh Gert’s challenge that ‘on a par with’ is not a sui generis fourth value relation beyond ‘better than’, ‘worse than’, and ‘equally good’. It then explores two further questions: can parity be modeled by an interval representation of value? And what should one rationally do when faced with items on a par? I argue that an interval representation of value is incompatible with the possibility that items are on a par (a mathematical proof is given in the appendix). I also suggest that there are three senses of ‘rationally permissible’ which, once distinguished, show that parity does distinctive practical work that cannot be done by the usual trichotomy of relations or by incomparability. In this way, we have an additional argument for parity from the workings of practical reason. | |||||||||
| Keywords | incommensurability, incomparability, parity, decision, value conflict, choice | |||||||||
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Mozaffar Qizilbash (2007). The Mere Addition Paradox, Parity and Vagueness. Philosophy and Phenomenological Research 75 (1):129–151.
Nick Huggett (2000). Reflections on Parity Nonconservation. Philosophy of Science 67 (2):219-241.
Nien-hê Hsieh (2005). Equality, Clumpiness and Incomparability. Utilitas 17 (2):180-204.
Ruth Chang (ed.) (1997). Introduction, Incommensurability, Incomparability, and Practical Reasoning. Harvard University Press.
Martin Peterson & Barbro Fröding (2012). Virtuous Choice and Parity. Ethical Theory and Moral Practice 15 (1):71-82.
Wlodek Rabinowicz (2008). Value Relations. Theoria 74 (1):18-49.
Erik Carlson (2010). Parity Demystified. Theoria 76 (2):119-128.
Martijn Boot (2009). Parity, Incomparability and Rationally Justified Choice. Philosophical Studies 146 (1):75 - 92.
Ruth Chang (2002). The Possibility of Parity. Ethics 112 (4):659-688.
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