Lewis, Peter J.
(2008)
Probability, SelfLocation and Quantum Branching.
In: UNSPECIFIED.
Abstract
The main problem with the manyworlds theory is that it is not clear how the notion of probability should be understood in a theory in which every possible outcome of a measurement actually occurs. In this paper I argue for the following theses concerning the manyworlds theory: (1) If probability can be applied at all to measurement outcomes, it must function as a measure of an agent’s selflocation uncertainty. (2) Such probabilities typically violate Reflection. (3) Manyworlds branching does not have sufficient structure to admit selflocation probabilities. (4) Decisiontheoretic arguments do not solve this problem, since they presuppose Reflection.
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