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Sequential Quantum Logic

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Current Issues in Quantum Logic

Abstract

Sequential quantum logic is an extension of the well-known system of usual quantum logic 8 to sequentially connected sentences. The usual quantum logic establishes the implication relation between logically connected quantum mechanical sentences. These sentences can be interpreted by means of yes-no experiments (in the sense of Jauch and Piron) as tests for elementary propositions and by means of dialogic proof procedures for compound propositions.11 Sequentially connected sentences (also called sequential sentences) exceed the class of logically connected sentences. They are interpreted by means of dialogic proof procedures which are more fundamental than the proof procedures for logically connected propositions. A detailed investigation of sequential sentences in the language of quantum physics can be found in14.

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© 1981 Plenum Press, New York

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Stachow, EW. (1981). Sequential Quantum Logic. In: Beltrametti, E.G., van Fraassen, B.C. (eds) Current Issues in Quantum Logic. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3228-2_13

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  • DOI: https://doi.org/10.1007/978-1-4613-3228-2_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3230-5

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