Generalized event structures and probabilities

Abstract

For the classical mind, quantum mechanics is boggling enough; nevertheless more bizarre behavior could be imagined, thereby concentrating on propositional structures (empirical logics) that transcend the quantum domain. One can also consistently suppose predictions and probabilities which are neither classical nor quantum, but which are subject to subclassicality; that is, the additivity of probabilities for mutually exclusive, co-measurable observables, as formalized by admissibility rules and frame functions.Comment: 10 pages, 10 figures in Information and Complexity, World Scientific Series in Information Studies: Volume 6, ed. by Mark Burgin and Cristian S Calude, Chapter 11, pp. 276-300, (World Scientific, Singapore, 2016