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Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 18))

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Abstract

Strict analysis of quantum theory has shown that for certain propositions about quantum-mechanical systems some laws of logic lose their validity. This assertion is justified by pointing out that quantum mechanics is an empirically verified theory.

On the other hand, it must be emphasized logic is to be understood to comprise the laws immanent in reasoning, the validity of which is established by the evidence inherent in the laws, not needing to be verified for every special range of objects.

The question arises, therefore, of what is to be understood, under these circumstances, by the assertion that in the domain of quantum-mechanical propositions logic becomes, to some extent, invalid. To answer this question we must consider the basis for the evidence for the laws of logic as well as the results of quantum theory — problems that will be examined in this chapter.

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© 1976 D. Reidel Publishing Company, Dordrecht, Holland

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Mittelstaedt, P. (1976). Logic and Quantum Logic. In: Philosophical Problems of Modern Physics. Boston Studies in the Philosophy of Science, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9617-1_7

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  • DOI: https://doi.org/10.1007/978-94-010-9617-1_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-0506-8

  • Online ISBN: 978-94-010-9617-1

  • eBook Packages: Springer Book Archive

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