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The British Journal for the Philosophy of Science 2003 54(2):225-243; doi:10.1093/bjps/54.2.225
© 2003 by British Society for the Philosophy of Science
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Probability and Nonlocality in Many Minds Interpretations of Quantum Mechanics

Meir Hemmo1 and Itamar Pitowsky2

1 Department of Philosophy, University of Haifa, Haifa 31905, Israel. meir{at}research.haifa.ac.il 2 Department of Philosophy, The Hebrew University, Jerusalem 91905, Israel. itamarp{at}vms.huji.ac.il

We argue that certain types of many minds (and many worlds) interpretations of quantum mechanics, e.g. Lockwood ([1996a]), Deutsch ([1985]) do not provide a coherent interpretation of the quantum mechanical probabilistic algorithm. By contrast, in Albert and Loewer's ([1988]) version of the many minds interpretation, there is a coherent interpretation of the quantum mechanical probabilities. We consider Albert and Loewer's probability interpretation in the context of Bell-type and GHZ-type states and argue that it implies a certain (weak) form of nonlocality.

1 Introduction

2 Albert and Loewer's interpretation

3 Probabilities in Lockwood's interpretation

4 Sets of minds and their correlations

5 Many minds and GHZ


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