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  1. Are Metaphysical Claims Testable?Chrysovalantis Stergiou - 2020 - Philosophia 49 (2):801-818.
    To consider metaphysical claims a priori and devoid of empirical content, is a rather commonplace received opinion. This paper attempts an exploration of a contemporary philosophical heresy: it is possible to test metaphysical claims if they play an indispensable role in producing empirical success, i.e. novel predictions. To do so one, firstly, needs to express the metaphysical claims employed in the logico-mathematical language of a scientific theory, i.e. to explicate them. Secondly, one should have an understanding of what it is (...)
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  • Contextuality in Algebraic Quantum Theory代数的量子論における文脈依存性.Yuichiro Kitajima - 2018 - Journal of the Japan Association for Philosophy of Science 45 (1-2):23-34.
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  • Bell Correlated and EPR States in the Framework of Jordan Algebras.Jan Hamhalter & Veronika Sobotíková - 2016 - Foundations of Physics 46 (3):330-349.
    We study Bell inequalities and EPR states in the context of Jordan algebras. We show that the set of states violating Bell inequalities across two operator commuting nonmodular Jordan Banach algebras is norm dense in the global state space. It generalizes hitherto known results in quantum field theory in several directions. We propose new Jordan quantity for incommensurable observables in a given state, introduce the concept of EPR state for Jordan structures, and study relationship between EPR states and Bell correlated (...)
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