Sleeping Beauty: a Garberian Approach
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In my previous paper (2009), I defended a solution of the Sleeping Beauty problem, according to which, on Monday, Sleeping Beauty assigns a lower credence to the coin’s landing heads than 1/2. This conclusion was largely favorable to the Thirder view. However, even if my defense of the Thirder view was successful, it left one important question to be unanswered: Where did the Halfers go wrong? Their main argument was simple: Because Sleeping Beauty does not receive new and relevant evidence about how the coin lands, her credence in its landing heads should remain to be the same. But note that, if the Thirder view was right and Sleeping Beauty receives no new and relevant evidence, then this becomes a special case of the so-called old evidence problem (Glymour, 1980). In this paper, I will explain why it is rational for Sleeping Beauty to change her credence despite the lack of new evidence about the coin’s landing heads. For this explanation, I will use Garber’s well-known solution to the old evidence problem.
Abstract
In my previous paper (2009), I defended a solution of the Sleeping Beauty problem, according to which, on Monday, Sleeping Beauty assigns a lower credence to the coin’s landing heads than 1/2. This conclusion was largely favorable to the Thirder view. However, even if my defense of the Thirder view was successful, it left one important question to be unanswered: Where did the Halfers go wrong? Their main argument was simple: Because Sleeping Beauty does not receive new and relevant evidence about how the coin lands, her credence in its landing heads should remain to be the same. But note that, if the Thirder view was right and Sleeping Beauty receives no new and relevant evidence, then this becomes a special case of the so-called old evidence problem (Glymour, 1980). In this paper, I will explain why it is rational for Sleeping Beauty to change her credence despite the lack of new evidence about the coin’s landing heads. For this explanation, I will use Garber’s well-known solution to the old evidence problem.
참고문헌 (12)
- Einstein, A., "The Foundation of the General Theory of Relativity, In the Collected Papers of Albert Einstein, translated by Alfred Engel", pp.146~201 (1997), Princeton University Press
- Elga, A., "Self-locating Belief and the Sleeping Beauty problem", Analysis, 60(2), pp.143~147 (2000)
- Eells, E., "Problems of Old Evidence", Pacific Philosophical Quarterly, 66, pp.283~302 (1985)
- Garber, D., "Old Evidence and Logical Omniscience, In Testing Scientific Theories", pp.99~131 (1983), University of Minnesota Press
- Glymour, C., "Theory and Evidence" (1980), Princeton University Press
- Jeffrey, R., "Bayesianism with a Human Face, In Testing Scientific Theories", pp.133~156 (1983), University of Minnesota Press
- Kim, N., "Sleeping Beauty and shifted Jeffrey conditionalization", SYNTHESE, 168(2), pp.295~312 (2009), SPRINGER
- Lewis, D. K., "A Subjectivist’s Guide to Objective Chance, In Studies in Inductive Logic and Probability, Vol. Ⅱ", pp.263~293 (1986), University of California Press
- Lewis, D. K., "Sleeping Beauty: Reply to Elga", Analysis, 61(271), pp.171~176 (2001)
- Ramsey, F. P., "General Propositions and Causality, In his Philosophical Papers", pp.145~163 (1929), Cambridge University Press
- Ramsey, F. P., "Foundations of Mathematics and Other Logical Essays, In Foundations of Mathematics and Other Logical Essays", pp.199~211 (1931), Brace and Company
- Weintraub, R., "Sleeping Beauty: a Simple Solution", Analysis, 64(1), pp.8~10 (2004)
