Comparative similarity in branching space-times
| Abstract | My aim in this paper is to investigate the notions of comparative similarity definable in the framework of branching space-times. A notion of this kind is required to give a rigorous Lewis-style semantics of space-time counterfactuals, which is the task undertaken by Thomas Muller (PITT-PHIL-SCI00000509, this archive). In turn, the semantical analysis is needed to decide whether the recently proposed proofs of the non-locality of quantum mechanics are correct. From among the three notions of comparative similarity I select two which appear equally good as far as their intuitiveness and algebraic properties are concerned. However, the relations are not transitive, and thus cannot be used in the semantics proposed by (Lewis 1973), which requires transitivity. Yet they are adequate for the account of (Lewis 1981). | |||||||||
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Tomasz Placek & Thomas Müller (2007). Branching Space-Times. Studies in History and Philosophy of Science Part B 38 (3):590-592.
Placek Tomasz & Müller Thomas (2007). Branching Space-Times. Studies in History and Philosophy of Science Part B.
Ryan Wasserman (2006). The Future Similarity Objection Revisited. Synthese 150 (1):57 - 67.
Thomas Müller (2005). Probability Theory and Causation: A Branching Space-Times Analysis. British Journal for the Philosophy of Science 56 (3):487 - 520.
Thomas Müller (2012). Branching in the Landscape of Possibilities. Synthese 188 (1):41-65.
Tomasz Placek (2012). On Individuals in Branching Histories. Synthese 188 (1):23-39.
Thomas Muller (2007). A Branching Space-Times View on Quantum Error Correction. Studies in History and Philosophy of Science Part B 38 (3):635-652.
Charles B. Cross (2008). Antecedent-Relative Comparative World Similarity. Journal of Philosophical Logic 37 (2):101-120.
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