Are the Laws of Quantum Logic Laws of Nature?


Abstract
The main goal of quantum logic is the bottom-up reconstruction of quantum mechanics in Hilbert space. Here we discuss the question whether quantum logic is an empirical structure or a priori valid. There are good reasons for both possibilities. First, with respect to the possibility of a rational reconstruction of quantum mechanics, quantum logic follows a priori from quantum ontology and can thus not be considered as a law of nature. Second, since quantum logic allows for a reconstruction of quantum mechanics, self-referential consistency requires that the empirical content of quantum mechanics must be compatible with the presupposed quantum ontology. Hence, quantum ontology contains empirical components that are also contained in quantum logic. Consequently, in this sense quantum logic is also a law of nature
Keywords Bottom-up reconstruction  Quantum logic  Quantum ontology  Self-consistency
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DOI 10.1007/s10838-012-9195-z
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What is a Law of Nature?D. M. Armstrong - 1983 - Cambridge University Press.
The Logic of Quantum Mechanics.Garrett Birkhoff & John von Neumann - 1937 - Journal of Symbolic Logic 2 (1):44-45.
What Is a Law of Nature?[author unknown] - 1985 - British Journal for the Philosophy of Science 36 (1):79-81.

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