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Theory Choice and the Intransitivity of ‘Is a Better Theory Than’

Published online by Cambridge University Press:  01 January 2022

Peter Baumann
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Abstract

There is a very plausible transitivity principle for theory choice. It says that if all criteria of theory evaluation are considered, and theory A is a better theory than theory B, and theory B is a better theory than theory C, then A is a better theory than C. I argue against this principle. It turns out that whenever there are two or more relevant and independent criteria of theory evaluation, and that whenever at least of one the criteria is ‘nonlinear’ in a certain sense, there may be violations of transitivity that do not violate any standards of rationality (of theory choice). This shows, again, that theory choice cannot be seen as merely the application of given rules of rational theory choice.

Type
Research Article
Information
Philosophy of Science , Volume 72 , Issue 1 , January 2005 , pp. 231 - 240
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

‡

I would like to thank the following persons for comments and discussions: Gisela Cramer, Hugh Lacey, Abdul Raffert, Howard Sankey, and two anonymous referees.

References

Anand, Paul (1993), Foundations of Rational Choice Under Risk. Oxford: Clarendon.Google Scholar
Bar-Hillel, Maya, and Margalit, Avishai (1988), “How Vicious Are Cycles of Intransitive Choice?”, How Vicious Are Cycles of Intransitive Choice? 24:119–145.Google Scholar
Broome, John (1991), “Rationality and the Sure-Thing Principle”, in Meeks, Gay (ed.), Thoughtful Economic Man. Cambridge: Cambridge University Press, 74–102.Google Scholar
Broome, John (1993), “Can a Humean Be Moderate?”, in Frey, Raymond Gillespie and Morris, Christopher W. (eds.), Value, Welfare, and Morality. Cambridge: Cambridge University Press, 51–73.CrossRefGoogle Scholar
Brown, Harold I. (1988), Rationality. London: Routledge.Google Scholar
Fishburn, Peter C. (1991), “Non-Transitive Preferences in Decision Theory”, Non-Transitive Preferences in Decision Theory 4:113–134.Google Scholar
Gendin, Sidney (1996), “Why Preference Is Not Transitive”, Why Preference Is Not Transitive 46:482–488.Google Scholar
Howson, Colin, and Urbach, Peter (1989), Scientific Reasoning: The Bayesian Approach. La Salle, IL: Open Court.Google Scholar
Hughes, R. I. G. (1980), “Rationality and Intransitive Preferences”, Rationality and Intransitive Preferences 40:132–134.Google Scholar
Jeffrey, Richard C. (1974), “Preference among Preferences”, Preference among Preferences 71:377–391.Google Scholar
Kuhn, Thomas S. (1962), The Structure of Scientific Revolutions. Chicago: University of Chicago Press.Google Scholar
Kuhn, Thomas S. (1977), “Objectivity, Value Judgment, and Theory Choice”, in Kuhn, Thomas S., The Essential Tension: Selected Studies in Scientific Tradition and Change. Chicago: University of Chicago Press, 320–339.CrossRefGoogle Scholar
Lacey, Hugh (1999), Is Science Value Free? Values and Scientific Understanding. London: Routledge.Google Scholar
Laudan, Larry (1987), “Progress or Rationality? The Prospects for Normative Naturalism”, Progress or Rationality? The Prospects for Normative Naturalism 24:19–31.Google Scholar
Laudan, Larry (1990), “Normative Naturalism”, Normative Naturalism 57:44–59.Google Scholar
Lee, Richard (1984), “Preference and Transitivity”, Preference and Transitivity 44:129–134.Google Scholar
Luce, R. Duncan, and Raiffa, Howard (1957), Games and Decisions: Introduction and Critical Survey. New York: Wiley.Google Scholar
Philips, Michael (1989), “Must Rational Preferences Be Transitive?”, Must Rational Preferences Be Transitive? 39:477–483.Google Scholar
Ramsey, Frank Plumpton (1990), “Truth and Probability”, in Mellor, David Hugh (ed.), Philosophical Papers. Cambridge: Cambridge University Press, 52–94.Google Scholar
Rawling, Piers (1990), “The Ranking of Preference”, The Ranking of Preference 40:495–501.Google Scholar
Sankey, Howard (1994), “Judgment and Rational Theory Choice”, Judgment and Rational Theory Choice 27:167–182.Google Scholar
Sankey, Howard (1995), “The Problem of Rational Theory Choice”, The Problem of Rational Theory Choice 18:299–312.Google Scholar
Savage, Leonard J. (1972), The Foundations of Statistics. New York: Dover Publications.Google Scholar
Schumm, George F. (1987), “Transitivity, Preference and Indifference”, Transitivity, Preference and Indifference 52:435–437.Google Scholar
Tversky, Amos (1969), “Intransitivity of Preferences”, Intransitivity of Preferences 76:31–48.Google Scholar
von Neumann, John, and Morgenstern, Oskar (1953), Theory of Games and Economic Behavior. Princeton, NJ: Princeton University Press.Google Scholar