This is a repository copy of The logic of the future in quantum theory. White Rose Research Online URL for this paper: https://eprints.whiterose.ac.uk/114152/ Version: Accepted Version Article: Sudbery, Anthony (2017) The logic of the future in quantum theory. Synthese. 4429–4453. ISSN 0023-7857 https://doi.org/10.1007/s11229-016-1142-9 Reuse Items deposited in White Rose Research Online are protected by copyright, with all rights reserved unless indicated otherwise. They may be downloaded and/or printed for private study, or other acts as permitted by national copyright laws. The publisher or other rights holders may allow further reproduction and re-use of the full text version. This is indicated by the licence information on the White Rose Research Online record for the item. Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing
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[email protected] https://eprints.whiterose.ac.uk/ The logic of the future in quantum theory∗ Anthony Sudbery Department of Mathematics, University of York, Heslington, York, England YO10 5DD Email:
[email protected] 27 January 2015, revised 3 June 2016 Abstract According to quantum mechanics, statements about the future made by sentient beings like us are, in general, neither true nor false; they must satisfy a many-valued logic. I propose that the truth value of such a statement should be identified with the probability that the event it describes will occur.