Reflections on reflection: Van Fraassen on belief

In ‘Belief and the Will’, van Fraassen employed a diachronic Dutch Book argument to support a counterintuitive principle called Reflection. There and subsequently van Fraassen has put forth Reflection as a linchpin for his views in epistemology and the philosophy of science, and for the voluntarism (first-person reports of subjective probability are undertakings of commitments) that he espouses as an alternative to descriptivism (first-person reports of subjective probability are merely self-descriptions). Christensen and others have attacked Reflection, taking it to have unpalatable consequences. We prescind from the question of the cogency of diachronic Dutch Book arguments, and focus on Reflection's proper interpretation. We argue that Reflection is not as counterintuitive as it appears — that once interpreted properly the status of the counterexamples given by Christensen and others is left open. We show also that descriptivism can make sense of Reflection, while voluntarism is not especially well suited to do so.

[1]  L. Daston Classical Probability in the Enlightenment , 1988 .

[2]  David Christensen,et al.  Clever Bookies and Coherent Beliefs , 1991 .

[3]  F. Schick Dutch Bookies and Money Pumps , 1986 .

[4]  Self-doubts and dutch strategies , 1987 .

[5]  William J. Talbott,et al.  Two principles of Bayesian epistemology , 1991 .

[6]  Van Fraassen,et al.  Belief and the Will , 1984 .

[7]  Van Fraassen,et al.  Laws and symmetry , 1989 .

[8]  W. D. Ross,et al.  The Right and the Good , 1930 .

[9]  Bas C. van Fraassen,et al.  Figures in a Probability Landscape , 1990 .

[10]  J. Sobel Conditional Probabilities, Conditionalization, and Dutch Books , 1990, PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association.

[11]  Paul Teller,et al.  Conditionalization and observation , 1973, Synthese.

[12]  B. Armendt,et al.  Dutch Strategies for Diachronic Rules: When Believers See the Sure Loss Coming , 1992, PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association.

[13]  D. Lewis A Subjectivist’s Guide to Objective Chance , 1980 .

[14]  Daniel Vanderveken,et al.  Foundations of Illocutionary Logic , 1985 .